ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT!A. Complete the table.The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then theangles opposite these sides are congruent.Given: TF = TVProve: ZF = LVStatementsReasons1. IF = TV1.2. Construct a bisector of ZI2. Every z has 1 angle bisector3. ZFIE = ZVIE3.4.4. Reflexive Property5.5. SAS Congruence Postulate6. LF = L6.MATH 8 QUARTER 2 WEEK 9Page 6| 10B. Number the sentences in an order to complete an indirect proof.Given: In A EFG, EF = FGProve: mzE # 90°LO Therefore the temporary assumption that mzE = 90° must be false.L But this contradicts the fact that the sum of the measures of the angles of a triangleis 180.L) Assume temporarily that mLE = 90°LO Then mzG = 90°, and mzE + mzF + mzG = 90 + mLF +90 > 180It follows that mzE + 90°

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ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT! A. Complete the table. The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite these sides are congruent. Given: TF = TV Prove: ZF = LV Statements Reasons 1. IF = TV 2. Construct a bisector of 2I

ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT! A. Complete the table. The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite these sides are congruent. Given: TF = TV Prove: ZF = LV Statements Reasons 1. IF = TV 2. Construct a bisector of 2I

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 43E

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