   Chapter 6.1, Problem 33E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 32 to 37, write a paragraph proof. Given: Chords A B ¯ , B C ¯ , C D ¯ , and A D ¯ in ⊙ O Prove: Δ A B E ∼ Δ C D E To determine

To Prove: The ABECDE by using the provided figure.

Explanation

Given: The chords AB¯,BC¯,CD¯ and AD¯, in O shown below.

Postulate used:

The measure of an inscribed angles is equal to the one-half the measure of its intercepted arc.

Proof:

Since, A and C both are inscribed angles and BD is their intercepted arcs.

Therefore, there is a theorem state that the measure of an inscribed angles is equal to the one-half the measure of its intercepted arc

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