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Vocabulary Corollary Base angles Vertex angles.

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Presentation on theme: "Vocabulary Corollary Base angles Vertex angles."— Presentation transcript:

1 Vocabulary Corollary Base angles Vertex angles

2 4.3 Congruent Triangles and Proofs
Integ. Math

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

4

5

6 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.

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

8 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.

9 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.

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

11 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 _________

12 Homework: Pg #2-22


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