Parallelograms Answers
1179✔ 101180
Use parallelogram ABCD. What are the values of x and y? x = y =
What is the length of segment EB in parallelogram ABCD?
Which concept is used to prove that the opposite sides of a parallelogram are congruent?
What is the value of r? What is the length of segment EF? units
What is the measure of ∠A? ° What is the measure of ∠B? °
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By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are angles. Because AB and DC are , the same-side interior angles must be by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
GHLJ and GSTU are both parallelograms. Why is ∠L ≅ ∠T?
By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Since GHLJ is a parallelogram, angle G is congruent to angle L. Since GSTU is a parallelogram, angle G is congruent to angle T. By the transitive property of congruence, angle L must be congruent to angle T.
11✔ 79101180
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9✔ 5575130
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congruentopposite✔ parallelperpendicular
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1179✔ 101180
complementarycongruentcorresponding✔ supplementary
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