Main content

Integrated math 1

Theorems concerning triangle properties

Prove triangle properties

Liliana tried to prove that M, N, equals, M, P in the following diagram.

Step	Statement	Reason
1	m, angle, M, N, P, equals, m, angle, M, P, N, equals, 65, degree	Given
2	Construct altitude M, Q.
3	m, angle, M, Q, N, equals, m, angle, M, Q, P, equals, 90, degree	Definition of altitude
4	triangle, M, Q, N, \cong, triangle, M, Q, P	Angle-angle-side congruence
5	M, N, equals, M, P	Corresponding sides of congruent figures have equal lengths.

What was the first mistake in Liliana's proof?

Stuck?