Question

□ visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ protry this video for example 4 - performing a glide reflection5) graph $\triangle abc$ with vertices $a(3, 2)$, $b(6, 3)$ and $c(7, 1)$ and its image after the glide reflection.translation: $(x,y) \to (x,y - 6)$reflection: in the $y$-axis

Explanation:

Step1: Apply translation to A

For $A(3,2)$, use $(x,y)\to(x,y-6)$:
$A'(3, 2-6) = (3, -4)$

Step2: Apply translation to B

For $B(6,3)$, use $(x,y)\to(x,y-6)$:
$B'(6, 3-6) = (6, -3)$

Step3: Apply translation to C

For $C(7,1)$, use $(x,y)\to(x,y-6)$:
$C'(7, 1-6) = (7, -5)$

Step4: Reflect $A'$ over y-axis

Reflection over y-axis: $(x,y)\to(-x,y)$
$A''(-3, -4)$

Step5: Reflect $B'$ over y-axis

Reflection over y-axis: $(x,y)\to(-x,y)$
$B''(-6, -3)$

Step6: Reflect $C'$ over y-axis

Reflection over y-axis: $(x,y)\to(-x,y)$
$C''(-7, -5)$

Answer:

Original triangle vertices: $A(3,2)$, $B(6,3)$, $C(7,1)$
Final image vertices after glide reflection: $A''(-3, -4)$, $B''(-6, -3)$, $C''(-7, -5)$

(To graph: Plot the original points and connect them, then plot the final image points and connect them on the provided coordinate grid.)