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Which two statements form the following biconditional? "Two angles are congruent if and only if they have the same measure."

A. If two angles are congruent, then the sum of their measures is twice the measure of one of the angles.
The two angles have the same measure.

B. If two angles are congruent, then they have the same measure.
These angles are congruent.

C. If two angles are congruent, then they have the same measure. If two angles have the same measure, then they are congruent.

D. If two angles have the same measure, then they are congruent. If two angles add up to 180 degrees, then they are supplementary.


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2007-10-25 11:49:05 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

(C.) has exactly the same meaning as the original biconditional. The correct answer is :

C. If two angles are congruent, then they have the same measure. If two angles have the same measure, then they are congruent.

2007-10-25 12:27:22 · answer #1 · answered by jsardi56 7 · 0 0

let A and B be statements with a truth value (T or F) for each A "if and only if " B is the biconditional "bi" implying two conditions they are 1. A "if "B 2. A "only if" B which is same as B "if" A ex a number is divisible by 2 if and only if it has a factor of 2 |------------ A ----------------| |--------- B ----------| 1 a number is divisible by 2 if it has a factor of 2 2 a number is divisible by 2 only if it has a factor of 2 SAME as a number has a factor of 2 if it is divible by 2

2016-04-10 05:33:02 · answer #2 · answered by Anonymous · 0 0

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