Reflection, Rotation, Translation worksheet with shapes to be transformed on a grid.
Worksheet with grid paper showing six exercises on reflection, rotation, and translation of geometric shapes.
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Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets
Here are the instructions for drawing each shape on your grid. Since I cannot draw directly on your paper, follow these steps to get the correct answer for each letter.
a. Draw the REFLECTION of the shape.
* What to do: Flip the shape horizontally (like looking in a mirror).
* How to draw it: The original shape points to the right. Your new shape should point to the left. Keep the vertical straight line on the left side of your new shape, just like the original has it on its left. The "V" cut-out should now open towards the left.
b. Draw the ROTATION of the shape.
* What to do: Turn the shape 90 degrees clockwise (like the hands of a clock).
* How to draw it: The original trapezoid is flat on the bottom. Your new shape should stand on its right side. The long parallel side that was on the bottom should now be vertical on the right. The short parallel side that was on top should now be vertical on the left.
c. Draw the TRANSLATION of the shape.
* What to do: Slide the shape without turning or flipping it.
* How to draw it: Look at where the blue arrow points (up and to the right). Move every corner of the arrow shape 3 squares up and 2 squares to the right. The new arrow should look exactly the same as the old one, just in a higher position.
d. Draw the REFLECTION of the shape.
* What to do: Flip the shape vertically (over a horizontal line).
* How to draw it: The original triangle points to the left. Your new shape should also point to the left, but it will be upside down. The top corner of the original becomes the bottom corner of your new shape. The vertical straight edge stays on the right side.
e. Draw the ROTATION of the shape.
* What to do: Turn the shape 90 degrees clockwise.
* How to draw it: Imagine pinning the bottom-right corner and spinning the rest. The long vertical side on the left of the original shape will become a long horizontal side on the top of your new shape. The shape will look like it is lying on its back.
f. Draw the TRANSLATION of the shape.
* What to do: Slide the shape.
* How to draw it: Follow the blue arrow (down and to the right). Move every corner of the L-shape 2 squares down and 3 squares to the right. Do not turn it; keep the "L" facing the same way.
g. Draw the ROTATION of the shape.
* What to do: Turn the shape 180 degrees (half a circle).
* How to draw it: This is an upside-down flip. The original shape looks like a staple open at the bottom. Your new shape should look like a staple open at the top. The two legs that were pointing down should now point up.
h. Draw the REFLECTION of the shape.
* What to do: Flip the shape horizontally (mirror image).
* How to draw it: The original shape looks like a backward "L" or a step going down to the right. Your new shape should look like a normal "L" or a step going down to the left. The vertical part stays on the left, but the horizontal parts extend to the left instead of the right.
Final Answer:
See the step-by-step drawing instructions above for items a through h.
a. Draw the REFLECTION of the shape.
* What to do: Flip the shape horizontally (like looking in a mirror).
* How to draw it: The original shape points to the right. Your new shape should point to the left. Keep the vertical straight line on the left side of your new shape, just like the original has it on its left. The "V" cut-out should now open towards the left.
b. Draw the ROTATION of the shape.
* What to do: Turn the shape 90 degrees clockwise (like the hands of a clock).
* How to draw it: The original trapezoid is flat on the bottom. Your new shape should stand on its right side. The long parallel side that was on the bottom should now be vertical on the right. The short parallel side that was on top should now be vertical on the left.
c. Draw the TRANSLATION of the shape.
* What to do: Slide the shape without turning or flipping it.
* How to draw it: Look at where the blue arrow points (up and to the right). Move every corner of the arrow shape 3 squares up and 2 squares to the right. The new arrow should look exactly the same as the old one, just in a higher position.
d. Draw the REFLECTION of the shape.
* What to do: Flip the shape vertically (over a horizontal line).
* How to draw it: The original triangle points to the left. Your new shape should also point to the left, but it will be upside down. The top corner of the original becomes the bottom corner of your new shape. The vertical straight edge stays on the right side.
e. Draw the ROTATION of the shape.
* What to do: Turn the shape 90 degrees clockwise.
* How to draw it: Imagine pinning the bottom-right corner and spinning the rest. The long vertical side on the left of the original shape will become a long horizontal side on the top of your new shape. The shape will look like it is lying on its back.
f. Draw the TRANSLATION of the shape.
* What to do: Slide the shape.
* How to draw it: Follow the blue arrow (down and to the right). Move every corner of the L-shape 2 squares down and 3 squares to the right. Do not turn it; keep the "L" facing the same way.
g. Draw the ROTATION of the shape.
* What to do: Turn the shape 180 degrees (half a circle).
* How to draw it: This is an upside-down flip. The original shape looks like a staple open at the bottom. Your new shape should look like a staple open at the top. The two legs that were pointing down should now point up.
h. Draw the REFLECTION of the shape.
* What to do: Flip the shape horizontally (mirror image).
* How to draw it: The original shape looks like a backward "L" or a step going down to the right. Your new shape should look like a normal "L" or a step going down to the left. The vertical part stays on the left, but the horizontal parts extend to the left instead of the right.
Final Answer:
See the step-by-step drawing instructions above for items a through h.
Parent Tip: Review the logic above to help your child master the concept of translations reflections rotations worksheet.