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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 ...
What you should learn. GOAL 1. Prove that two lines are parallel. re parallel. You can use the following postulate and theorems to p. GOAL 2 Use properties of lines are parallel. parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Why you should learn it. n Exa.
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.
Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent 4) Transitive property 5) If base angles are congruent, then triangle is isosceles AEK BED 1) 2) 5) ABE is isosceles BED EBA BAE BAE or Recognizing the altemate interior angles... Example: Given: Prove: Circle E
Question 1: Are the lines AB and CD parallel? Explain your answer. Question 2: Find the missing angle. Give reasons for your answer. Question 3: Find x. Question 4: Find x. Question 5: Matilda is proving that the angles in a triangle add up to 180°. She has started with this diagram. Complete her proof. Q Answers. Click here. Scan here.