Circle and Arcs

R

Riot

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Jun 3, 2012
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I don't understand this question.
In the circle below, A is the center. Segments DE and LM are congruent. Which statement is NOT guaranteed to be true?

Circle.png


AK = KL
AC = AK
AL = AM
AD = AL <------ why would any of these be false in the circle the segments are congruent so doesn't that mean everything is equal?
 
Last edited:
Riot said:
I don't understand this question.
In the circle below, A is the center. Segments DE and LM are congruent. Which statement is NOT guaranteed to be true?

View attachment 2010


AK = KL
AC = AK
AL = AM
AD = AL <------ why would any of these be false in the circle the segments are congruent so doesn't that mean everything is equal?
Click to expand...
\(\displaystyle AK\ne KL \)
 
And other three statements are guaranteed to be true through geometry. That is, using geometry, given the stated condition, you can prove that:

AC = AK

AL = AM = AD
 
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