Question

10. Find the values of x and y that make these triangles congruent by the HLTTheorem2x - 1y-3x+3y - 1

Answer 1

So,

We want to find the values of x and y such that these triangles:

Be congruent.

For this, we could state the following equations:

What we're going to do is to solve this system so we could find the values for x and y:

By elimination's method:

Now, replacing x=2:

2-y+4=0

y=6

Therefore, x=2 and y=6.