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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

Provide the missing statements and reasons in the following proof.

Given: In O , chords A D ¯ and B C ¯ intersects at E .

Prove: A E C E = B E D E

PROOF
Statements Reasons
1. _ 1. _
2. A E B D E C 2. _
3. B D 3.If two inscribed angles intercept the same arc, these angles are congruent
4. Δ A B E Δ C D E 4. _
5. _ 5.CSSTP

To determine

To prove:

AECE=BEDE by providing the missing statement in,

PROOF
Statements Reasons
1. _ 1. _
2. AEBDEC 2. _
3. BD 3.If two inscribed angles intercept the same arc, these angles are congruent
4. ΔABEΔCDE 4. _
5. _ 5.CSSTP
Explanation

Given:

In O, chords AD¯ and BC¯ intersects at E.

PROOF
Statements Reasons
1. _ 1. _
2. AEBDEC 2. _
3. BD 3

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