Question

Triangle LMN has coordinates L (0, 0), M (0, -2), and N (2, 0). If ΔLMN ≅ ΔXYZ, what is the measure of XZ?

1 unit
2 units
3 units
4 units

Answer 1

Check the picture below.

Answer 2

The measure of XZ is 2 units

Since the triangle ΔLMN ≅ ΔXYZ, hence;

• LN = XZ

Get the distance MN from the given coordinates.

LN = √0-(-2)² + (0-0)²

LN = √4

LN= 2 units

Since the measure of LN is equal to XZ, hence the measure of XZ is 2 units

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