Geometry Honors: Unit 7 Day 3 Parallel Lines and Proportional Parts !

!!!!!!!!1. In ! , SV = 3, VR = 8, and UT = 12. Find SU. !!!!!!!!!!!!!!!2. In ! , DH = 18, HE = 36, and DG = ! GF. Determine whether ! . Explain.

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Mathematical Idea Success criteria

Proportional relationships in triangles and parallel lines can be used to find similarities.

- I can use proportional parts with parallel lines. !- I can explain how to use proportional parts with

parallel lines to solve problems.

ΔRST ,RT !VU

ΔDEF

12 GH !FE

Geometry Honors Chapter 7 Day 3 notes page !1

A midsegment of a triangle is a segment with endpoints that are the midpoints of two sides of the triangle. Every triangle has three midsegments. !!!!!!!!!3. In the figure, ! and ! are midsegments of ΔABC. !a. Find AB. �� !!b. Find FE.

!!!c. Find m! AFE !!!!!!!!4. In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in between city blocks. Find x. !!!!!

DE EF

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Geometry Honors Chapter 7 Day 3 notes page !2

!!!!!!!5. Find x and y. !!!!!!!!!6. The segments shown are midpoints of the triangle. Find x.

Geometry Honors Chapter 7 Day 3 notes page !3