Question

Triangle ABC is translated to create triangle DFG, as shown below.

Answer 1

Answer:

$x=3$

$y = 9$

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

$AB = DF$

$BC = FG$

$AB = DF$ means:

$3(2x + 10) = 12x + 12$

Open bracket

$6x + 30 = 12x + 12$

Collect like terms

$12x - 6x = 30 -12$

$6x = 18$

Divide by 6

$x=3$

$BC = FG$ means

$2y + 12 = 2(2y - 3)$

Open bracket

$2y + 12 = 4y - 6$

Collect like terms

$4y - 2y = 12+6$

$2y = 18$

Divide by 2

$y = 9$