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Home > GC > Chapter 8 > Lesson 8.3.3 > Problem 8-108

8-108.

A circle with center, C, diameter, E D, & radii, A C, & B C, has chord A B, intersecting radius C E, at point, F.Larry started to set up a proof to show that if and is a diameter of , then . Examine his work below. Then complete his missing statements and reasons.  

Statements 

Reasons

  1.   and is a diameter of

  1. and are right angles. 

  1.  

  1.  

  1. Definition of a Circle (radii must be equal)

  1.  

  1.  

Click the check boxes as they appear in order to complete the proof.

1. Given

2. Definition of perpendicular

3. Reflexive property

5.

6.