Given: ABAC is an equilateral A. AT bisects BC.Prove: ZBAT = ZCAT ВStatementsReasons1.2. AT bisects BC.1. Given2.3.3. Definition of equilateral triangle.4. ВТ СТ5. AT = AT4.5. RPE6. Segments of equal length arecongruent.6. AT = AT7.6.8. BAT = ZCAT5. СРСТС

To write the statements with the reasons.

B T. Statements Reasons 1. 1. Given 2. AT bisects BC. 2. 3. 3. Definition of equilateral triangle. 4. BT = CT 4. 5. AT = AT 5. RPE 6. AT = AT 6. Segments of equal length are congruent. 6. 5. СРСТС 7. 8. BAT ZCAT

B T. Statements Reasons 1. 1. Given 2. AT bisects BC. 2. 3. 3. Definition of equilateral triangle. 4. BT = CT 4. 5. AT = AT 5. RPE 6. AT = AT 6. Segments of equal length are congruent. 6. 5. СРСТС 7. 8. BAT ZCAT

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.4: The Angles Of A Triangle

Problem 30E: Given: Equiangular RST Prove: RV bisects SRT RVS is a right

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Question

Given: ABAC is an equilateral A. AT bisects BC.
Prove: ZBAT = ZCAT

В
Statements
Reasons
1.
2. AT bisects BC.
1. Given
2.
3.
3. Definition of equilateral triangle.
4. ВТ СТ
5. AT = AT
4.
5. RPE
6. Segments of equal length are
congruent.
6. AT = AT
7.
6.
8. BAT = ZCAT
5. СРСТС

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