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Vocabulary Corollary Base angles Vertex angles
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4.3 Congruent Triangles and Proofs
Integ. Math
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CPCTC Once congruence is established you can conclude that all pairs of corresponding angles and segments are congruent
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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.
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Corollary 1: if a triangle is equilateral then it is equiangular.
Corollary 2: the measure of each angle of an equilateral triangle is 60°
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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.
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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.
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Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
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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 _________
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Homework: Pg #2-22
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