Question

unit: transformations review
name
date
transformations study
solve each of the problems below. be sure to ask questions if you
i can generalize the properties of orientation and congruenc

1. reflect the figure over the x-axis. then, mark the statements as true or false.

_____the corresponding sides in the pre-image and image are congruent.
_____the reflection changed the orientation of the vertices.

1. translate

then, mark t

1. rotate the figure 90° clockwise. then, mark the statements as true or false.
2. dila

then,

Explanation:

Step1: Recall reflection over x-axis rule

For any point $(x,y)$, its reflection over the x-axis is $(x,-y)$.

Step2: Identify pre-image vertices

Pre-image vertices: $W(-6,2)$, $X(-6,6)$, $Y(-2,6)$, $Z(-2,2)$

Step3: Calculate image vertices

Reflected vertices: $W'(-6,-2)$, $X'(-6,-6)$, $Y'(-2,-6)$, $Z'(-2,-2)$

Step4: Analyze congruence of sides

Reflection is a rigid transformation, so side lengths are preserved.

Step5: Analyze orientation change

Reflection flips the figure, reversing vertex order orientation.

Answer:

The corresponding sides in the pre-image and image are congruent. $\boldsymbol{True}$
The reflection changed the orientation of the vertices. $\boldsymbol{True}$