Question

Rectangles DEFG with vertices D(1,0) E(7,2) F(8, -1) and G (2, -3)

A. Translations along the the rule (x, y) —> (x -8 y -3)

Answer 1

Part A

`D(1,0) \longrightarrow D'(1-8, 0-3)=D'(-7, -3)\\\\E(7,2) \longrightarrow E'(7-8, 2-3)=E'(-1, -1)\\\\F(8,-1) \longrightarrow F'(8-8, -1-3)=F'(0, -4)\\\\G(2,-3) \longrightarrow G'(2-8, -3-3)=G'(-6, -6)`

Part B

Reflecting over the x axis means
`(x, y) \longrightarrow (x, -y)`.

`D'(-7, -3) \longrightarrow D''(-7, 3)\\\\E'(-1, -1) \longrightarrow E''(-1, 1)\\\\F'(0, -4) \longrightarrow F''(0, 4)\\\\G'(-6, -6) \longrightarrow G''(-6, 6)`