Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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QUESTION 4
-
a. State the Exterior
Angle Inequality.
b. There are two parts to the conclusion of the Exterior Angle Inequality. Prove one of them. Use a Paragraph proofs
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- Identify pairs of triangles (if any) that can be proven congruent and prove it. If problems are assigned for homework, write the complete proof in your paper homework and for online (only) complete the probing statement that is a part of your proof or related to it. If no pair of triangles can be shown to be congruent, leave the box for the second triangle blank and choose for the reason "CanNot Be Determined." Given: WH Z bisector W H Y M2OWH = m2 by reasonarrow_forward1. which of the following is not an inequality theorem for one triangle? A. Triangle Inequality Theorem 1 (Ss→Aa) B. Triangle Inequality Theorem 3 (S1 +S2 > S3) C. Exterior Angle Inequality Theorem D. Hinge Theorem 2. which of the following angles is an exterior angle of ARPY? A. L2 B. 23 C. 4 D. 27 3. Does this triangle with these side lengths exist? 12,9,6 a. Yes b. No c. I don't know d. Maybearrow_forward10. Choose the correct reason from the reasons bank to complete the proof. (6 points) Complete the proof. 3/ Given: (|m.a||b reasons bank: (some of these reasons will be used more than once). Prove: 21 = 25 Statements Reasons 1. (m,a|| Z1 = 22 Transitive property Vertical angles postulate Same side Interior angles theorem Congruent supplements theorem 1. Given 2. a. b. ? 22 and 23 are supplementary. 23 and 24 are supplementary. 3. 4. c._?_ 5. 22 = 4 d._?_ e._?_ f. _?_ 6. Z1 = 24 7. 24 = 25 8. Z1 z 25 g._?_ 10 а. 10 b and c. ; 10 d. 10 е. 10f. 10 g.arrow_forward
- 1. What is your answer in number 1? Why? 2. What inequality theorem is used to answer item number 2? Is your answer fact or bluff? Explain. 3. Explain your answer for item number 4 and 5.arrow_forwardis this statement truearrow_forward6. Give the missing reasons in this proof of the Alternate Interior Angles Theorem 1. Given: 1 || n 3 Prove: 24 = 26 Reasons Statements Given I || n 22 쓴 26 22 쓴 24 Definition of Straight Angle Vertical Angles Theorem Corresponding Angles Postulate Transitive Property Substitution Property Wearrow_forward
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