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Write a proof to justify the perpendicular bisector method of construction. A B Given: Prove: AB AC CBC (by construction) AD BD (by construction) CDL AB at point E, the midpoint of AB Ⓡ By the method of construction and the fact that all radii of a circle are equal in length, AC by Identity, it follows that

Write a proof to justify the perpendicular bisector method of construction. A B Given: Prove: AB AC CBC (by construction) AD BD (by construction) CDL AB at point E, the midpoint of AB Ⓡ By the method of construction and the fact that all radii of a circle are equal in length, AC by Identity, it follows that

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 14E
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Write a proof to justify the perpendicular bisector method of construction. A Given: Prove: E B AB AC BC (by construction) AD BD (by construction) CDL AB at point E, the midpoint of AB Ⓡ By the method of construction and the fact that all radii of a circle are equal in length, AC = BC and AD BD. Since CD CD by Identity, it follows that AACE ABCEX by SAS by Identity, it follows that ZAEC <BEC X by SAS ✓✓. Then AEBE and ZACD <BCD ✓X both by CPCTC ✓✓ Finish the proof and submit your answer as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. ✓X . Then ZACD <BCD ✓ by ASA ✓X. Now since CE CE
Transcribed Image Text:Write a proof to justify the perpendicular bisector method of construction. A Given: Prove: E B AB AC BC (by construction) AD BD (by construction) CDL AB at point E, the midpoint of AB Ⓡ By the method of construction and the fact that all radii of a circle are equal in length, AC = BC and AD BD. Since CD CD by Identity, it follows that AACE ABCEX by SAS by Identity, it follows that ZAEC <BEC X by SAS ✓✓. Then AEBE and ZACD <BCD ✓X both by CPCTC ✓✓ Finish the proof and submit your answer as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. ✓X . Then ZACD <BCD ✓ by ASA ✓X. Now since CE CE
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