
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Transcribed Image Text:Which of the following statements are never true? Select all that apply.
Three points are coplanar.
Two planes meet in exactly one point.
Opposite rays form a line.
Two lines that lie in parallel planes are parallel.
Two lines meet at more than one point.
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- VWU 1navC prUVeu timat If twó lines are parallel, then the alternate exterior angles are congruent. Is converse of this true? If you study the proof of Theorem 14 on page 18, it will help you prove Theorem 15 Theorem 15: If a transversal intersects two lines so that alternate exterior angles are congruent, ther the lines are parallel. Complete this proof of Theorem 15. Given: Transversal t intersects lines m and n; L1 = 23. Prove: m ll n. 1. Proof Statements Reasons Tankerraleinterrede lino nads 1. Givcn 2. 2. 3. 4. If a trans, intersects two lines so that cor. Zs are =, then the lines are ll.0.14) 4. . Theorem 12 uses parallel lines to prove that interior angles on the same side of the transversal are sup mentary. To prove Theorem 16, we must prove either alternate interior, corresponding, or alternate ext angles are congruent. If we can do this, then we know the lines are parallel. side of tharrow_forwardstprep, LLU Theorems & Parallelograms GSE Analytic Geometry Check for Understanding: Theorems & Parallelograms 1) Consider the parallelogram DEFG. Find the value of v, w, x, y and z. 69 i) 14 W y% D 23arrow_forwardState the postulate that can used to show that statement is true.arrow_forward
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