. Complete the following proof. Given: OA with tangents XM and XN Prove: XM = XN M. Statements Reasons 1. OA with tangents XM and XN 1. given 2. Draw AM, AN, and AX. 2. 3. AM = AN 3. 4. 4. 5. 5. ZM and LN are right angles. 6. definition of right triangle 6. AXAM and AXAN are right triangles. 7. Reflexive Property of Congruent Segments 7. 8. 8. 9. 9. XM = XN

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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18. Complete the following proof.
Given: OA with tangents XM and XN
Prove: XM = XN
N
Statements
Reasons
1. OA with tangents XM and XN
1. given
2. Draw AM, AN, and AX.
3. AM = AN
3.
4.
4.
5.
5. ZM and LN are right angles.
6. definition of right triangle
6. AXAM and AXAN are right triangles.
7. Reflexive Property of Congruent Segments
7.
8.
8.
9.
9. XM = XN
Transcribed Image Text:18. Complete the following proof. Given: OA with tangents XM and XN Prove: XM = XN N Statements Reasons 1. OA with tangents XM and XN 1. given 2. Draw AM, AN, and AX. 3. AM = AN 3. 4. 4. 5. 5. ZM and LN are right angles. 6. definition of right triangle 6. AXAM and AXAN are right triangles. 7. Reflexive Property of Congruent Segments 7. 8. 8. 9. 9. XM = XN
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