Proving Triangle Similarity Using AA Criterion in Parallel Lines

Math Problem Statement

Prove that triangle RHW is similar to triangle RXB using the given parallel lines HW || XB.

To complete the proof, consider the parallel lines and corresponding angles:

Statement 2: $\angle RWH \cong \angle RBX$
Reason 2: Corresponding angles are equal when lines are parallel.
Statement 3: $\angle RHW \cong \angle RXB$
Reason 3: Corresponding angles are equal when lines are parallel.
Reason 4: $\triangle RHW \sim \triangle RXB$ by AA similarity, because two pairs of corresponding angles are congruent.

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Geometry
Triangle Similarity
Parallel Lines

Triangle similarity criteria (AA similarity)

Corresponding angles theorem
AA similarity criterion

Grades 9-11

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