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Question

Find the image of triangle ABC , for A(0,0), B(1,3), and C(2,-4), after the described glide reflection.

Translation: (x,y) maps to (x-1, y)
Reflection: in the line x = 1

Answer 1

Hey! Lets solve this shall we ?

So, we must find the point after making an initial translation from (x,y) to (x-1, y) then reflecting the point across the line x = 1. Let A'B'C' be the points after the translation. Then, let A"B"C" be the points after the reflection across the line x = 1. Thus,

A(0,0) => A'(-1, 0) => A"(3,0) [Since x = 1 is 2 units apart from (-1,0)].

B(1,3) => B'(0,3) => B"(2,3) [Since x = 1 is 1 unit apart from (1,3)}. Finally,

C(2,-4) => C'(1,-4) => C"(1,-4) [Since the translation point lies on line x = 1]. So the new triangle is

A"(3,0)B"(2,3)C"(1,-4)



I hope this helped!