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High school geometry

Course: High school geometry > Unit 4

Lesson 2: Introduction to triangle similarity
Math
High school geometry
Similarity
Introduction to triangle similarity
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Prove triangle similarity

CCSS.Math: HSG.SRT.B.5
Google Classroom

Problem

Complete the proof that triangle, L, M, N, \sim, triangle, O, P, N.
Two triangles L M N and N O P share the same point N. Side length P N is eight. Side Length L N is five. Sides L M and O P are parallel.
StatementReason
1start overline, L, M, end overline, \parallel, start overline, O, P, end overlineGiven
2angle, L, \cong, angle, OWhen a transversal crosses parallel lines, alternate interior angles are congruent.
3
4triangle, L, M, N, \sim, triangle, O, P, N
similarity
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