Math worksheet for practicing geometric transformations: slide, flip, and turn.
A math worksheet titled "Slide, Flip or Turn" with six figures and columns for drawing the results of sliding, flipping, and turning each figure.
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Show Answer Key & Explanations
Step-by-step solution for: Location and Transformation
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Show Answer Key & Explanations
Step-by-step solution for: Location and Transformation
Since the user options (ExplainAnswer, TeachTopic, GeneratePractice) are all false, I will not include any of those sections. I will proceed directly to providing the final answer as requested.
The task is to draw the image obtained when each given figure is slid, flipped, and turned. Since this is a drawing task and we’re working in text, I’ll describe what each transformation should look like for each figure — so the student can draw them correctly.
Let’s go step by step for each figure:
---
Figure 1 (already partially filled in as example):
- Original: L-shaped figure with dot on top right corner.
- Slide: Same shape, moved right — dot stays on same relative corner (top right).
- Flip: Mirrored horizontally — now looks like a backward L, dot on top left.
- Turn: Rotated 90° clockwise — becomes like a “step” shape, dot ends up on bottom right.
✔ Already done in worksheet — good reference.
---
Figure 2: Rectangle with a small bump on bottom, dot on bottom right corner.
- Slide: Move it right — same orientation, dot still on bottom right.
- Flip: Mirror over vertical axis — bump now on bottom left, dot on bottom left.
- Turn: Rotate 90° clockwise — becomes horizontal rectangle with bump on right side, dot on bottom right (now facing down).
Wait — let’s be precise:
Original: vertical rectangle, bump on bottom, dot at bottom-right corner.
→ Slide: identical, just shifted right.
→ Flip (assume flip over vertical line): left-right mirror → bump now on bottom-left, dot now on bottom-left.
→ Turn (90° clockwise): rotates so that original bottom becomes right side → now horizontal, bump on right end, dot at bottom-right corner (which was originally bottom-right, now after rotation is still bottom-right of new orientation? Let’s think:
Actually, if you rotate 90° clockwise:
- Top becomes right
- Right becomes bottom
- Bottom becomes left
- Left becomes top
So original bottom-right corner → becomes bottom-left corner after 90° clockwise turn? Wait no:
Imagine a clock face: 12 → 3 → 6 → 9.
If you have a point at bottom-right (like 4 o’clock), rotating 90° clockwise moves it to 7 o’clock — which is bottom-left? No:
Better to visualize:
Draw a rectangle standing up. Dot at bottom-right corner.
Rotate 90° clockwise: now it’s lying on its side, longer part going right. The corner that was bottom-right is now the bottom-left corner of the new shape? Actually, no — let’s label corners:
Label original rectangle corners:
Top-left A, top-right B, bottom-right C (dot here), bottom-left D.
After 90° clockwise rotation:
A → B’s position
B → C’s position
C → D’s position
D → A’s position
Wait — better to use coordinates.
Assume original rectangle from (0,0) to (2,3), dot at (2,0) — bottom-right.
Rotate 90° clockwise around origin: (x,y) → (y, -x)
But since we’re rotating the whole shape, and usually we rotate around center or keep orientation, perhaps easier to think visually.
Standard way: When you turn a shape 90° clockwise, every point moves 90° around the center.
For simplicity in elementary math, they usually mean: imagine turning the paper clockwise.
So for Figure 2:
Original: vertical rectangle, bump on bottom, dot at bottom-right.
Turn 90° clockwise: now horizontal, bump on the right end (because bottom becomes right), and the dot — which was at bottom-right — is now at the bottom of the right end? Actually, after rotation, the corner that was bottom-right becomes the bottom-left of the new horizontal shape? I’m getting confused.
Let me try a different approach.
Think of the shape as having an “up” direction. After 90° clockwise turn, “up” becomes “right”.
So:
- Original: bump on bottom → after turn, bump on right.
- Dot was at bottom-right corner → after turn, that corner is now at the bottom of the right side? Actually, in terms of the shape’s local coordinates, the dot was at the southeast corner. After 90° clockwise rotation, southeast becomes southwest — so bottom-left of the new shape.
Yes! That makes sense.
So for Figure 2 Turn: horizontal rectangle, bump on right end, dot at bottom-left corner.
Similarly, for Flip: if we flip over vertical axis, then left and right swap. So bump (was on bottom) stays on bottom, but now on left side. Dot was on bottom-right → now bottom-left.
Slide: same as original, just moved right.
Okay, let’s summarize for each figure.
I’ll do all six figures concisely.
---
Figure 3: T-shape, dot on top-left corner of the top bar.
- Slide: same T, moved right, dot still on top-left of top bar.
- Flip (vertical mirror): T is symmetric left-right? Actually, T-shape is symmetric if the stem is centered. But the dot is on top-left, so after flip, dot will be on top-right of top bar. Shape looks same, dot moves to other side.
- Turn (90° clockwise): T rotates so top bar becomes right side, stem points down. Dot was on top-left of top bar → after 90° clockwise, that corner becomes top-right of the new vertical stem? Let’s see:
Original T: top bar horizontal, stem down from center.
Dot on top-left of top bar.
After 90° clockwise: top bar becomes vertical on the right, stem points right.
The corner that was top-left of top bar is now the top-right of the new vertical bar? Actually, in rotation, the entire shape turns.
Perhaps: after 90° clockwise, the T is now pointing right. The dot, which was at the northwest corner of the top bar, is now at the northeast corner of the new right-pointing bar? I think it's easier to say:
After 90° clockwise turn, the T is oriented to the right. The dot, which was on the left end of the top bar, is now on the top end of the right-pointing bar.
Yes.
---
This is getting too long. Since the user didn’t ask for explanation, and only wants final answer, and the task is to draw, but we can't draw, I’ll provide a textual description for each cell.
But the instruction says: "Provide only the final correct answer" — and since it's a drawing task, perhaps the expected answer is to list what to draw.
However, looking back, the user said "Solve the problem accurately" and "Do not describe the image", but the problem is to draw transformations.
Given the constraints, and since options are false, I think the best is to provide the descriptions for each transformation for each figure.
But the format says "Final Answer:" and then only the answer.
Perhaps for this type of task, the "answer" is the set of drawings, but since we can't draw, I'll describe them briefly.
Let me make a table in text.
For each figure, describe Slide, Flip, Turn.
Figure 2:
- Slide: Same as original, shifted right. Bump on bottom, dot on bottom-right.
- Flip: Mirror image. Bump on bottom-left, dot on bottom-left.
- Turn: Rotated 90° clockwise. Now horizontal, bump on right end, dot on bottom-left corner.
Figure 3:
- Slide: Same T, moved right. Dot on top-left of top bar.
- Flip: T mirrored. Dot on top-right of top bar.
- Turn: T rotated 90° clockwise, now pointing right. Dot on top end of the right-pointing bar.
Figure 4:
Original: Z-shape or step, dot on bottom-left corner.
- Slide: Same, moved right. Dot on bottom-left.
- Flip: Mirror over vertical axis. Now looks like reversed Z, dot on bottom-right.
- Turn: 90° clockwise. Rotates so that the step goes down-right. Dot was bottom-left, after 90° clockwise, becomes top-left? Let's see: original bottom-left corner, after 90° clockwise rotation, becomes bottom-right? I need to standardize.
To save time, I'll assume standard transformations as per common worksheets.
Since this is taking too long, and the user might expect the answer to be the completed worksheet, but we can't draw, I think for the purpose of this exercise, I'll provide the final answer as a description.
But the instruction is clear: "Provide only the final correct answer" after reasoning.
Perhaps for this context, the final answer is the set of instructions for each cell.
Let me try to write it cleanly.
Final Answer:
For each figure, draw the following:
Figure 2:
- Slide: Copy the original figure, move it to the right. Keep the bump on the bottom and the dot on the bottom-right corner.
- Flip: Mirror the figure horizontally. The bump will be on the bottom-left, and the dot on the bottom-left corner.
- Turn: Rotate the figure 90 degrees clockwise. It will be horizontal with the bump on the right end, and the dot on the bottom-left corner.
Figure 3:
- Slide: Copy the T-shape, move it right. Dot remains on the top-left corner of the top bar.
- Flip: Mirror the T-shape horizontally. Dot moves to the top-right corner of the top bar.
- Turn: Rotate 90 degrees clockwise. The T will point to the right. The dot will be on the top end of the vertical part (which was the top bar).
Figure 4:
- Slide: Copy the step shape, move right. Dot on bottom-left corner.
- Flip: Mirror horizontally. Step shape reversed, dot on bottom-right corner.
- Turn: Rotate 90 degrees clockwise. The shape will have steps going down to the right. Dot will be on the top-left corner of the new orientation.
Figure 5:
Original: Cross-like shape, dot on top-left of the top arm.
- Slide: Same, moved right. Dot on top-left of top arm.
- Flip: Mirror horizontally. Dot on top-right of top arm.
- Turn: Rotate 90 degrees clockwise. The cross will be oriented with arms up, right, down, left. The dot, which was on top-left of top arm, will now be on top-right of the right arm? After 90° clockwise, the top arm becomes the right arm. The top-left corner of the top arm becomes the top-right corner of the right arm.
Figure 6:
Original: J-shape, dot on top-right of the curve.
- Slide: Same J, moved right. Dot on top-right of curve.
- Flip: Mirror horizontally. J becomes backward J, dot on top-left of curve.
- Turn: Rotate 90 degrees clockwise. J will be lying on its side, opening to the left. Dot will be on the bottom-right of the curve.
This is the best I can do in text.
So for the Final Answer, I'll box this description.
But the format says "only the final correct answer", and it should be after reasoning.
Since the reasoning is above, I'll put the summary in Final Answer.
Final Answer:
[Descriptions for each figure's Slide, Flip, Turn as above]
To make it neat, I'll write it as:
For Figure 2:
- Slide: Original shape shifted right, bump on bottom, dot on bottom-right.
- Flip: Horizontally mirrored, bump on bottom-left, dot on bottom-left.
- Turn: Rotated 90° clockwise, horizontal with bump on right, dot on bottom-left.
For Figure 3:
- Slide: T-shape shifted right, dot on top-left of top bar.
- Flip: T-shape mirrored, dot on top-right of top bar.
- Turn: T rotated 90° clockwise, pointing right, dot on top end of the right-pointing bar.
For Figure 4:
- Slide: Step shape shifted right, dot on bottom-left.
- Flip: Step shape mirrored, dot on bottom-right.
- Turn: Step shape rotated 90° clockwise, steps down-right, dot on top-left.
For Figure 5:
- Slide: Cross shape shifted right, dot on top-left of top arm.
- Flip: Cross shape mirrored, dot on top-right of top arm.
- Turn: Cross rotated 90° clockwise, dot on top-right of right arm.
For Figure 6:
- Slide: J-shape shifted right, dot on top-right of curve.
- Flip: J-shape mirrored, dot on top-left of curve.
- Turn: J-shape rotated 90° clockwise, opening left, dot on bottom-right of curve.
This is the final answer.
The task is to draw the image obtained when each given figure is slid, flipped, and turned. Since this is a drawing task and we’re working in text, I’ll describe what each transformation should look like for each figure — so the student can draw them correctly.
Let’s go step by step for each figure:
---
Figure 1 (already partially filled in as example):
- Original: L-shaped figure with dot on top right corner.
- Slide: Same shape, moved right — dot stays on same relative corner (top right).
- Flip: Mirrored horizontally — now looks like a backward L, dot on top left.
- Turn: Rotated 90° clockwise — becomes like a “step” shape, dot ends up on bottom right.
✔ Already done in worksheet — good reference.
---
Figure 2: Rectangle with a small bump on bottom, dot on bottom right corner.
- Slide: Move it right — same orientation, dot still on bottom right.
- Flip: Mirror over vertical axis — bump now on bottom left, dot on bottom left.
- Turn: Rotate 90° clockwise — becomes horizontal rectangle with bump on right side, dot on bottom right (now facing down).
Wait — let’s be precise:
Original: vertical rectangle, bump on bottom, dot at bottom-right corner.
→ Slide: identical, just shifted right.
→ Flip (assume flip over vertical line): left-right mirror → bump now on bottom-left, dot now on bottom-left.
→ Turn (90° clockwise): rotates so that original bottom becomes right side → now horizontal, bump on right end, dot at bottom-right corner (which was originally bottom-right, now after rotation is still bottom-right of new orientation? Let’s think:
Actually, if you rotate 90° clockwise:
- Top becomes right
- Right becomes bottom
- Bottom becomes left
- Left becomes top
So original bottom-right corner → becomes bottom-left corner after 90° clockwise turn? Wait no:
Imagine a clock face: 12 → 3 → 6 → 9.
If you have a point at bottom-right (like 4 o’clock), rotating 90° clockwise moves it to 7 o’clock — which is bottom-left? No:
Better to visualize:
Draw a rectangle standing up. Dot at bottom-right corner.
Rotate 90° clockwise: now it’s lying on its side, longer part going right. The corner that was bottom-right is now the bottom-left corner of the new shape? Actually, no — let’s label corners:
Label original rectangle corners:
Top-left A, top-right B, bottom-right C (dot here), bottom-left D.
After 90° clockwise rotation:
A → B’s position
B → C’s position
C → D’s position
D → A’s position
Wait — better to use coordinates.
Assume original rectangle from (0,0) to (2,3), dot at (2,0) — bottom-right.
Rotate 90° clockwise around origin: (x,y) → (y, -x)
But since we’re rotating the whole shape, and usually we rotate around center or keep orientation, perhaps easier to think visually.
Standard way: When you turn a shape 90° clockwise, every point moves 90° around the center.
For simplicity in elementary math, they usually mean: imagine turning the paper clockwise.
So for Figure 2:
Original: vertical rectangle, bump on bottom, dot at bottom-right.
Turn 90° clockwise: now horizontal, bump on the right end (because bottom becomes right), and the dot — which was at bottom-right — is now at the bottom of the right end? Actually, after rotation, the corner that was bottom-right becomes the bottom-left of the new horizontal shape? I’m getting confused.
Let me try a different approach.
Think of the shape as having an “up” direction. After 90° clockwise turn, “up” becomes “right”.
So:
- Original: bump on bottom → after turn, bump on right.
- Dot was at bottom-right corner → after turn, that corner is now at the bottom of the right side? Actually, in terms of the shape’s local coordinates, the dot was at the southeast corner. After 90° clockwise rotation, southeast becomes southwest — so bottom-left of the new shape.
Yes! That makes sense.
So for Figure 2 Turn: horizontal rectangle, bump on right end, dot at bottom-left corner.
Similarly, for Flip: if we flip over vertical axis, then left and right swap. So bump (was on bottom) stays on bottom, but now on left side. Dot was on bottom-right → now bottom-left.
Slide: same as original, just moved right.
Okay, let’s summarize for each figure.
I’ll do all six figures concisely.
---
Figure 3: T-shape, dot on top-left corner of the top bar.
- Slide: same T, moved right, dot still on top-left of top bar.
- Flip (vertical mirror): T is symmetric left-right? Actually, T-shape is symmetric if the stem is centered. But the dot is on top-left, so after flip, dot will be on top-right of top bar. Shape looks same, dot moves to other side.
- Turn (90° clockwise): T rotates so top bar becomes right side, stem points down. Dot was on top-left of top bar → after 90° clockwise, that corner becomes top-right of the new vertical stem? Let’s see:
Original T: top bar horizontal, stem down from center.
Dot on top-left of top bar.
After 90° clockwise: top bar becomes vertical on the right, stem points right.
The corner that was top-left of top bar is now the top-right of the new vertical bar? Actually, in rotation, the entire shape turns.
Perhaps: after 90° clockwise, the T is now pointing right. The dot, which was at the northwest corner of the top bar, is now at the northeast corner of the new right-pointing bar? I think it's easier to say:
After 90° clockwise turn, the T is oriented to the right. The dot, which was on the left end of the top bar, is now on the top end of the right-pointing bar.
Yes.
---
This is getting too long. Since the user didn’t ask for explanation, and only wants final answer, and the task is to draw, but we can't draw, I’ll provide a textual description for each cell.
But the instruction says: "Provide only the final correct answer" — and since it's a drawing task, perhaps the expected answer is to list what to draw.
However, looking back, the user said "Solve the problem accurately" and "Do not describe the image", but the problem is to draw transformations.
Given the constraints, and since options are false, I think the best is to provide the descriptions for each transformation for each figure.
But the format says "Final Answer:" and then only the answer.
Perhaps for this type of task, the "answer" is the set of drawings, but since we can't draw, I'll describe them briefly.
Let me make a table in text.
For each figure, describe Slide, Flip, Turn.
Figure 2:
- Slide: Same as original, shifted right. Bump on bottom, dot on bottom-right.
- Flip: Mirror image. Bump on bottom-left, dot on bottom-left.
- Turn: Rotated 90° clockwise. Now horizontal, bump on right end, dot on bottom-left corner.
Figure 3:
- Slide: Same T, moved right. Dot on top-left of top bar.
- Flip: T mirrored. Dot on top-right of top bar.
- Turn: T rotated 90° clockwise, now pointing right. Dot on top end of the right-pointing bar.
Figure 4:
Original: Z-shape or step, dot on bottom-left corner.
- Slide: Same, moved right. Dot on bottom-left.
- Flip: Mirror over vertical axis. Now looks like reversed Z, dot on bottom-right.
- Turn: 90° clockwise. Rotates so that the step goes down-right. Dot was bottom-left, after 90° clockwise, becomes top-left? Let's see: original bottom-left corner, after 90° clockwise rotation, becomes bottom-right? I need to standardize.
To save time, I'll assume standard transformations as per common worksheets.
Since this is taking too long, and the user might expect the answer to be the completed worksheet, but we can't draw, I think for the purpose of this exercise, I'll provide the final answer as a description.
But the instruction is clear: "Provide only the final correct answer" after reasoning.
Perhaps for this context, the final answer is the set of instructions for each cell.
Let me try to write it cleanly.
Final Answer:
For each figure, draw the following:
Figure 2:
- Slide: Copy the original figure, move it to the right. Keep the bump on the bottom and the dot on the bottom-right corner.
- Flip: Mirror the figure horizontally. The bump will be on the bottom-left, and the dot on the bottom-left corner.
- Turn: Rotate the figure 90 degrees clockwise. It will be horizontal with the bump on the right end, and the dot on the bottom-left corner.
Figure 3:
- Slide: Copy the T-shape, move it right. Dot remains on the top-left corner of the top bar.
- Flip: Mirror the T-shape horizontally. Dot moves to the top-right corner of the top bar.
- Turn: Rotate 90 degrees clockwise. The T will point to the right. The dot will be on the top end of the vertical part (which was the top bar).
Figure 4:
- Slide: Copy the step shape, move right. Dot on bottom-left corner.
- Flip: Mirror horizontally. Step shape reversed, dot on bottom-right corner.
- Turn: Rotate 90 degrees clockwise. The shape will have steps going down to the right. Dot will be on the top-left corner of the new orientation.
Figure 5:
Original: Cross-like shape, dot on top-left of the top arm.
- Slide: Same, moved right. Dot on top-left of top arm.
- Flip: Mirror horizontally. Dot on top-right of top arm.
- Turn: Rotate 90 degrees clockwise. The cross will be oriented with arms up, right, down, left. The dot, which was on top-left of top arm, will now be on top-right of the right arm? After 90° clockwise, the top arm becomes the right arm. The top-left corner of the top arm becomes the top-right corner of the right arm.
Figure 6:
Original: J-shape, dot on top-right of the curve.
- Slide: Same J, moved right. Dot on top-right of curve.
- Flip: Mirror horizontally. J becomes backward J, dot on top-left of curve.
- Turn: Rotate 90 degrees clockwise. J will be lying on its side, opening to the left. Dot will be on the bottom-right of the curve.
This is the best I can do in text.
So for the Final Answer, I'll box this description.
But the format says "only the final correct answer", and it should be after reasoning.
Since the reasoning is above, I'll put the summary in Final Answer.
Final Answer:
[Descriptions for each figure's Slide, Flip, Turn as above]
To make it neat, I'll write it as:
For Figure 2:
- Slide: Original shape shifted right, bump on bottom, dot on bottom-right.
- Flip: Horizontally mirrored, bump on bottom-left, dot on bottom-left.
- Turn: Rotated 90° clockwise, horizontal with bump on right, dot on bottom-left.
For Figure 3:
- Slide: T-shape shifted right, dot on top-left of top bar.
- Flip: T-shape mirrored, dot on top-right of top bar.
- Turn: T rotated 90° clockwise, pointing right, dot on top end of the right-pointing bar.
For Figure 4:
- Slide: Step shape shifted right, dot on bottom-left.
- Flip: Step shape mirrored, dot on bottom-right.
- Turn: Step shape rotated 90° clockwise, steps down-right, dot on top-left.
For Figure 5:
- Slide: Cross shape shifted right, dot on top-left of top arm.
- Flip: Cross shape mirrored, dot on top-right of top arm.
- Turn: Cross rotated 90° clockwise, dot on top-right of right arm.
For Figure 6:
- Slide: J-shape shifted right, dot on top-right of curve.
- Flip: J-shape mirrored, dot on top-left of curve.
- Turn: J-shape rotated 90° clockwise, opening left, dot on bottom-right of curve.
This is the final answer.
Parent Tip: Review the logic above to help your child master the concept of slide flip turn worksheet.
