Slide, Flip, and Turn Worksheets - Free Printable

The task involves performing geometric transformations on given shapes: Flip, Slide, and Turn. Let's solve each part step by step.

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Key Definitions:

1. Flip (Reflection): A transformation where a shape is mirrored over a line (axis of reflection). The resulting shape is the mirror image of the original.
2. Slide (Translation): A transformation where a shape is moved in a specific direction without rotating or flipping it. Every point of the shape moves the same distance in the same direction.
3. Turn (Rotation): A transformation where a shape is rotated around a fixed point (center of rotation) by a certain angle (e.g., 90°, 180°).

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Solutions:

#### a. Draw the Flip of the shape
- Shape: A parallelogram with a diagonal line dividing it into two triangles.
- Transformation: Flip the shape over a vertical axis.
- Solution: The flipped shape will be a mirror image of the original parallelogram along the vertical axis. The diagonal line will appear on the opposite side.

#### b. Draw the Turn of the shape
- Shape: An isosceles triangle.
- Transformation: Rotate the triangle 90° clockwise or counterclockwise.
- Solution: After rotating the triangle 90°, the base of the triangle will become one of the sides, and the apex will move to a new position perpendicular to the original orientation.

#### c. Draw the Slide of the shape
- Shape: A square with a small protrusion on top.
- Transformation: Move the shape to a new position without changing its orientation.
- Solution: Simply redraw the square with the protrusion in a different location on the grid, maintaining the same orientation.

#### d. Draw the Flip of the shape
- Shape: A right triangle.
- Transformation: Flip the triangle over a vertical axis.
- Solution: The flipped triangle will have its hypotenuse on the opposite side, creating a mirror image.

#### e. Draw the Turn of the shape
- Shape: An L-shaped figure.
- Transformation: Rotate the L-shape 90° clockwise or counterclockwise.
- Solution: After rotation, the L-shape will change orientation but retain its overall structure.

#### f. Draw the Slide of the shape
- Shape: An irregular quadrilateral.
- Transformation: Move the shape to a new position without changing its orientation.
- Solution: Redraw the quadrilateral in a different location on the grid, keeping the same orientation.

#### g. Draw the Turn of the shape
- Shape: A T-shaped figure.
- Transformation: Rotate the T-shape 90° clockwise or counterclockwise.
- Solution: After rotation, the T-shape will change orientation but retain its overall structure.

#### h. Draw the Flip of the shape
- Shape: A Z-shaped figure.
- Transformation: Flip the Z-shape over a vertical axis.
- Solution: The flipped Z-shape will be a mirror image of the original, with the "Z" appearing as an inverted "Z".

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Final Answer:

Each transformation should be drawn according to the definitions above. Here is a summary of the actions for each part:

1. a. Flip the parallelogram → Mirror image over a vertical axis.
2. b. Turn the triangle → Rotate 90°.
3. c. Slide the square with protrusion → Move to a new position.
4. d. Flip the right triangle → Mirror image over a vertical axis.
5. e. Turn the L-shape → Rotate 90°.
6. f. Slide the quadrilateral → Move to a new position.
7. g. Turn the T-shape → Rotate 90°.
8. h. Flip the Z-shape → Mirror image over a vertical axis.

Final Answer:
\[
\boxed{\text{See detailed explanations above for each transformation.}}
\]