Question

Triangle BRM ≅ triangle KYZ. How can you justify that line yz ≅ rm?

Answer 1

To justify that line YZ ≅ RM, we need to show that the corresponding sides of the two triangles are congruent.

Since triangle BRM ≅ triangle KYZ, we know that:
- Angle B = Angle K (corresponding angles)
- Angle R = Angle Y (corresponding angles)
- Angle M = Angle Z (corresponding angles)

We also know that:
- BR ≅ KY (given: triangle BRM ≅ triangle KYZ)
- RM ≅ YZ (given: triangle BRM ≅ triangle KYZ)

Now we can combine the congruent corresponding angles with the congruent sides to show that line YZ ≅ RM:

By the Angle-Side-Angle (ASA) congruence criterion, we have proven that YZ ≅ RM.