Problem Analysis:
The image illustrates three types of geometric transformations:
Flip,
Slide, and
Turn. Each transformation is demonstrated using triangles, and the task is to understand and explain each transformation.
---
Solution Explanation:
#### 1.
Flip
-
Definition: A flip is a type of transformation where a shape is reflected over a line (called the line of reflection). The resulting shape is a mirror image of the original shape.
-
Observation in the Image:
- The left triangle is flipped horizontally to produce the right triangle.
- The orientation of the triangle changes, but its size and shape remain the same.
- The line of reflection appears to be a vertical line passing through the middle of the two triangles.
-
Key Characteristics:
- Every point on the original shape has a corresponding point on the reflected shape that is equidistant from the line of reflection.
- The orientation of the shape is reversed (e.g., left becomes right, top remains top).
---
#### 2.
Slide
-
Definition: A slide is a type of transformation where a shape is moved in a specific direction without changing its orientation or size. This is also known as a translation.
-
Observation in the Image:
- The left triangle is moved to the right to produce the right triangle.
- The orientation and size of the triangle remain unchanged; only its position changes.
-
Key Characteristics:
- Every point on the shape moves the same distance in the same direction.
- There is no rotation or flipping involved.
---
#### 3.
Turn
-
Definition: A turn is a type of transformation where a shape is rotated around a fixed point (called the center of rotation). The shape may change its orientation but retains its size and shape.
-
Observation in the Image:
- The left triangle is rotated clockwise to produce the right triangle.
- The orientation of the triangle changes, but its size and shape remain the same.
-
Key Characteristics:
- The shape is rotated by a specific angle (e.g., 90°, 180°) around a fixed point.
- The distances from the center of rotation to corresponding points on the shape remain constant.
---
Final Answer:
The transformations are explained as follows:
-
Flip: A reflection over a line, creating a mirror image.
-
Slide: A movement of the shape in a specific direction without changing its orientation.
-
Turn: A rotation of the shape around a fixed point.
$$
\boxed{\text{Flip: Reflection, Slide: Translation, Turn: Rotation}}
$$
Parent Tip: Review the logic above to help your child master the concept of flip turn slide worksheet.
