Question

graph the image of △abc after the following glide reflection: translation 9 units up reflection across the y - axis

Explanation:

Step1: Apply translation rule

For a point $(x,y)$ in $\triangle ABC$, the translation 9 units up changes the point to $(x,y + 9)$. Let the coordinates of $A=(8,-7)$, $B=(6,-3)$, $C=(2,-7)$. After translation, $A_1=(8,-7 + 9)=(8,2)$, $B_1=(6,-3 + 9)=(6,6)$, $C_1=(2,-7 + 9)=(2,2)$.

Step2: Apply reflection rule

The rule for reflecting a point $(x,y)$ across the $y$-axis is $(-x,y)$. So, for $A_1=(8,2)$, the reflected - point $A_2=(-8,2)$; for $B_1=(6,6)$, the reflected - point $B_2=(-6,6)$; for $C_1=(2,2)$, the reflected - point $C_2=(-2,2)$.

Step3: Graph the new triangle

Plot the points $A_2(-8,2)$, $B_2(-6,6)$, $C_2(-2,2)$ and connect them to form the image of $\triangle ABC$ after the glide - reflection.

Answer:

Graph the points $A_2(-8,2)$, $B_2(-6,6)$, $C_2(-2,2)$ and connect them to get the new triangle.