Isosceles and Equilateral Triangles

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Presentation transcript:

Isosceles and Equilateral Triangles Chapter 4.6 Isosceles and Equilateral Triangles

Concept

A. Name two unmarked congruent angles. Congruent Segments and Angles A. Name two unmarked congruent angles. BCA is opposite BA and A is opposite BC, so BCA  A. ___ Answer: BCA and A

B. Name two unmarked congruent segments. Congruent Segments and Angles B. Name two unmarked congruent segments. ___ BC is opposite D and BD is opposite BCD, so BC  BD. Answer: BC  BD

A. Which statement correctly names two congruent angles? A. PJM  PMJ B. JMK  JKM C. KJP  JKP D. PML  PLK

B. Which statement correctly names two congruent segments? A. JP  PL B. PM  PJ C. JK  MK D. PM  PK

Concept

Subtract 60 from each side. Answer: mR = 60 Divide each side by 2. Find Missing Measures A. Find mR. Triangle Sum Theorem mQ = 60, mP = mR Simplify. Subtract 60 from each side. Answer: mR = 60 Divide each side by 2.

Find Missing Measures B. Find PR. Answer: PR = 5 cm

Example 2a A. Find mT. A. 30° B. 45° C. 60° D. 65°

B. Find TS. A. 1.5 B. 3.5 C. 4 D. 7

ALGEBRA Find the value of each variable. Find Missing Values ALGEBRA Find the value of each variable.

Find the value of each variable. A. x = 20, y = 8 B. x = 20, y = 7 C. x = 30, y = 8 D. x = 30, y = 7

Prove: ΔENX is equilateral. Apply Triangle Congruence Given: HEXAGO is a regular polygon. ΔONG is equilateral, N is the midpoint of GE, and EX || OG. Prove: ΔENX is equilateral. ___