Question

write a rigid motion that produces the image. △abc→△def. select the correct choice below, and fill in the answer box(es) within your choice. answer involves an angle, use an angle measure between 0° and 360°. a. tof y = - 3 b. r( ) (type an equation.) c. r (type an equation.) d. tof x = - 3 e. tof x = - 3

Explanation:

Step1: Analyze the transformation

First, observe the position of $\triangle ABC$ and $\triangle DEF$. We can see that $\triangle ABC$ is translated vertically and then reflected.
Let's assume the vertices of $\triangle ABC$ are $A(x_1,y_1)$, $B(x_2,y_2)$, $C(x_3,y_3)$ and of $\triangle DEF$ are $D(x_4,y_4)$, $E(x_5,y_5)$, $F(x_6,y_6)$.
We note that the shape and size remain the same (rigid - motion).

Step2: Determine the translation

Count the number of units of vertical translation. We can see that $\triangle ABC$ is translated 5 units up.

Step3: Determine the reflection

After the translation, $\triangle ABC$ is reflected over the line $y = - 3$.
The rigid - motion is a translation of 5 units up followed by a reflection over the line $y=-3$.

Answer:

A translation of 5 units up followed by a reflection over the line $y = - 3$