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Lesson 6.7 Congruent Triangles pp
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Objectives: 1. To prove the Side-Angle-Angle Theorem for triangles.
2. To prove the Isosceles Triangle Theorem. 3. To use these theorems to prove other theorems about congruent triangles.
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Theorem 6.19 SAA Congruence Theorem. If two angles of a triangle and a side opposite one of the two angles are congruent to the corresponding angles and side of another triangle, then the two triangles are congruent.
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C Z A B X Y
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Theorem 6.20 Isosceles Triangle Theorem. In an isosceles triangle the two base angles are congruent.
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Theorem 6.21 If two angles of a triangle are congruent, then the sides opposite those angles are congruent, and the triangle is an isosceles triangle.
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Theorem 6.22 A triangle is equilateral if and only if it is equiangular.
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Homework pp
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1. Find the measure of each angle.
►A. Exercises 1. Find the measure of each angle. A B C 20°
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►A. Exercises 2. Find the measure of each angle.
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3. Find the measure of each angle.
►A. Exercises 3. Find the measure of each angle. Q P R x x-15
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4. Find the measure of each angle.
►A. Exercises 4. Find the measure of each angle. U T V 110°
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11-15. L N M P O Q 1 2 3 4
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■ Cumulative Review 22. Review the proof of Theorem What rule of logic enables us to apply the reflexive property to step 4?
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■ Cumulative Review 23. Name at least three of the equivalence relations you have studied so far.
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■ Cumulative Review 24. Given: AD || BC; 1 3 Prove: ABC ACB A
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■ Cumulative Review Let P represent a point and l and m lines. l P l m so that m || l P m 25. Write the symbolic statement as a sentence. Do you recognize it?
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