Question

What is the relationship between the corresponding angle bisectors BD and XZ?

Answer 1

If the two triangles are equivalent, then all the measures of triangle 2 are k times the measures of triangle 1.

This means that:

BC = k*XY

here we know that:

BC = 8

XY = 20

then:

8 = k*20

8/20 = k

0.4 = k

Then we also will have the relation:

BD = 0.4*XZ

and we know that:

BD = 6

then:

6 = 0.4*XZ

6/0.4 = XZ

15 = XZ

Answering the question, the relationship between the corresponding angle bisectors is:

BD/XZ = 6/15 = 0.4