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Warm up (TI) Post a hmwk. answer. ~. ∆DEF = ∆MNO. Complete the statements. (Use this info. For 1 & 2) m<E = m<____. DF = ___. Given ∆ABC = ∆PQR, find the values of x and y. ~. R. Q. A. 6y-4. 85°. B. C. (10x +5). 50°. P. Proving Triangles Congruent. Chapter 4 section 3.
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Warm up (TI) Post a hmwk. answer. ~ • ∆DEF = ∆MNO. Complete the statements. (Use this info. For 1 & 2) • m<E = m<____. • DF = ___. • Given ∆ABC = ∆PQR, find the values of x and y. ~ R Q A 6y-4 85° B C (10x +5) 50° P
Proving Triangles Congruent Chapter 4 section 3
Shortcuts for proving triangles congruent! • If you are given three segments, how many different triangles can you create? • Answer: You can only create one unique triangle. It cannot be a different size or shape if you use the same three segments.
Side-Side-Side Postulate (SSS) • IF three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. B Y A Congruence Statement:? O D M
Side Angle Side Postulate (SAS) • If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Is enough information given to prove that ∆LMP = ∆NPM? M L N P
Write a two column proof to prove the following. • Given: VW = YW and XW = ZW. • Prove: ∆VWZ = ∆YWX ~ ~ ~ X V W Y Z
Given: AB = PB, MB APProve: ∆MBA = ∆MBP ~ ~ M P A B