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Introduction to proofs: Identifying geometry theorems and postulates ANSWERS C congruent ? Explain using geometry concepts and theorems: 1) Why is the triangle isosceles? PR and PQ are radii of the circle. Therefore, they have the same length. A triangle with 2 sides of the same length is isosceles. 2) Why is an altitude? AB = AB (reflexive ...
1. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. 2. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. 3. If two lines are cut by a transversal so ...
lines are parallel. The following theorems are converses of those in Lesson 3.3. Remember that the converse of a true conditional statement is not necessarily true. Thus, each of the following must be proved to be true. Theorems 3.8 and 3.9 are proved in Examples 1 and 2. You are asked to prove Theorem 3.10 in Exercise 30. GOAL 1 Prove that two ...
Essential Question. For which of the theorems involving parallel lines and transversals is the converse true? Exploring Converses. Work with a partner. Write the converse of each conditional statement. Draw a diagram to represent the converse. Determine whether the converse is true. Justify your conclusion.
If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel
Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 167 For # 1-3, given a ‖ b, state the postulate or theorem that justifies each conclusion. 1.
Work with a partner. Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. Corresponding Angles Theorem. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. b. Alternate Altern Interior Angles Theorem.
