C is equidistant from A and B. What is the value of x? A. 6 B. 8 C. 12 D. 14
1 answer:
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Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement: .
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement: .
Reason: SSS criterion for congruence.
5.Statement:.
Reason: Given .
6.Statement: .
Reason: By definition of parallelogram.
7.Statement: .
Reason: Alternate Interior Angles Theorem.