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## Geometry (FL B.E.S.T.)

### Course: Geometry (FL B.E.S.T.)>Unit 5

Lesson 3: Proofs of general theorems

# Line and angle proofs

## Problem

T, V, with, \overleftrightarrow, on top is parallel to W, X, with, \overleftrightarrow, on top.
Parallel lines T V and W X. On line T V, there is a point U. On Line W X, there is a point Y. Line segment W U is perpendicular to line T V. Line segment V Y is perpendicular to line W X. There is a transversal line through points W and V.
Cody constructed:
• start overline, W, U, end overline perpendicular to T, V, with, \overleftrightarrow, on top such that U is on T, V, with, \overleftrightarrow, on top
• start overline, V, Y, end overline perpendicular to W, X, with, \overleftrightarrow, on top such that Y is on W, X, with, \overleftrightarrow, on top
Cody noticed that triangle, U, W, V, \cong, triangle, Y, V, W using the Hypotenuse-Leg congruency postulate.
What theorem can Cody prove using these congruent triangles?