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Q2

Expert-verified
Geometry
Found in: Page 121
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

Given: FC¯ and SH¯ bisect each other at A; localid="1638250328146" FC=SH.

Prove: SA=AC.

It is proved that AC¯=SA¯.

See the step by step solution

Step by Step Solution

Step 1. Consider the diagram.

Here, FC¯, SH¯ bisect each other A and FC¯=SH¯

Step 2. State the proof.

As FC¯, SH¯ bisect each other A,

AC¯=12FC¯ and SA¯=12SH¯

Also,

FC¯=SH¯ (Given)

Multiply both sides by 12.

12FC¯=12SH¯AC¯=SA¯

Step 3. State the conclusion.

Therefore, AC¯=SA¯ (proved).

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