Vocabulary Corollary Base angles Vertex angles.

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Presentation transcript:

Vocabulary Corollary Base angles Vertex angles

4.3 Congruent Triangles and Proofs Integ. Math

CPCTC Once congruence is established you can conclude that all pairs of corresponding angles and segments are congruent

Isosceles triangle theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Aka base angles of an isosceles triangle are congruent.

Corollary 1: if a triangle is equilateral then it is equiangular. Corollary 2: the measure of each angle of an equilateral triangle is 60°

An artist is positioning the design elements for a new company logo An artist is positioning the design elements for a new company logo. At the center of the logo is a triangle show in the figure. Find m<P.

For another logo, the designer draws an isosceles triangle ABC where AC and BC are equal and one of the base angles in 73°. Find m<C.

Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Copy and complete the proof. Statements Reasons <1 and <2 are right angles Definition of ______ m<1=90°, m<2=90° Definition of _______ ___________ Transitive property of = Reflexive property ΔJFH≈ΔGHF _________

Homework: Pg. 162-163 #2-22