3/4 5 Given: OR = OQ, ZN ZP Prove: 23 2 25 P Why is the proof incorrect? Statements Reasons 1. OR E OQ, ZN ZP 2. ON = OP 1. Given ...... 2. Converse of the Isos. A Thm. 3. A ONR E A OPQ 3. SAS 4. 23 2 25 4. СРСТС O In step 2, the reason should have been the Isosceles Triangle Theorem, not its O The reasons for steps 3 and 4 should be switched. converse. O The reason for step 3 should be AAS. O The triangle congruence in step 3 is not valid. The congruent angle is not the included angle, so the triangles are not congruent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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Question
3/4 5
Given: OR E OQ, ZN 2 ZP.
Prove: 23 2 25
1
N
P
Why is the proof incorrect?
Statements
Reasons
1. OR = OQ, ZN ZP
1. Given
2. ON = OP
3. A ONR E A OPQ
2. Converse of the Isos. A Thm.
3. SAS
......................................
4. 23 25
4. СРСТС
O In step 2, the reason should have been the Isosceles Triangle Theorem, not its
O The reasons for steps 3 and 4 should be switched.
converse.
O The reason for step 3 should be AAS.
O The triangle congruence in step 3 is not valid. The congruent angle is not the
included angle, so the triangles are not congruent.
Transcribed Image Text:3/4 5 Given: OR E OQ, ZN 2 ZP. Prove: 23 2 25 1 N P Why is the proof incorrect? Statements Reasons 1. OR = OQ, ZN ZP 1. Given 2. ON = OP 3. A ONR E A OPQ 2. Converse of the Isos. A Thm. 3. SAS ...................................... 4. 23 25 4. СРСТС O In step 2, the reason should have been the Isosceles Triangle Theorem, not its O The reasons for steps 3 and 4 should be switched. converse. O The reason for step 3 should be AAS. O The triangle congruence in step 3 is not valid. The congruent angle is not the included angle, so the triangles are not congruent.
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