Question

GEOMETRY PLEASE HELP If the triangles below are congruent, find x and y.

Answer 1

Answer:

x=2, y=1

Step-by-step explanation:

since they are both congruent, the corresponding sides are also congruent

Thus:

2x+1=x+3

x+y=3x-3y

First, solve 2x+1=x+3

$2x+1=x+3$

Subtract both sides by x

$2x-x+1=x-x+3$

$x+1=x+3$

Subtract both sides by 1

$x+1-1=x+3-1$

$x=2$

Thus x=2

Next, solve for x+y=3x-3y

$x+y=3x-3y$

Substitute x with 2 (from the first part)

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

$2+y-y=6-3y-y$

$2=6-4y$

$2-6=6-4y-6$

$\frac{-4=-4y}{-4}$

$y=1$

Thus y=1