Section 4.5:
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Section 4.5: Using Congruent Triangles. Goals. Use congruent ’s to prove other parts are congruent. Use congruent ’s to prove other geometric properties. Anchors. Identify and/or use properties of congruent and similar polygons Identify and/or use properties of triangles. Statements.

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Goals

Section 4.5:Using Congruent Triangles

Goals

  • Use congruent ’s to prove other parts are congruent.

  • Use congruent ’s to prove other geometric properties.

Anchors

  • Identify and/or use properties of congruent and similar polygons

  • Identify and/or use properties of triangles


Given w is the midpoint of qs pq ts and pw tw prove pwq tws

Statements

Reasons

Given: W is the midpoint of QS PQ  TS and PW  TWProve: PWQ  TWS


Given qrs is isosceles rt bisects qrs prove qt st

Statements

Reasons

Given: QRS is isosceles RT bisects QRSProve: QT  ST


Given b n rw bisects bn prove o is the midpoint of rw

Statements

Reasons

Given: B  N RW bisects BNProve: O is the midpoint of RW


Given bn and rw bisect each other prove br wn

Statements

Reasons

Given: BN and RW bisect each otherProve: BR ║ WN


Given 1 2 fc bisects dcb prove afb efd

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1

Statements

Reasons

Given: 1  2 , FC bisects DCBProve: AFB  EFD