Question

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

Answer 1

x=2, y=1

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`

`(-4=-4y)/(-4)`

`y=1`

Thus y=1