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Consider parallelogram ABCD. Choose all of the statements which must be true

Consider parallelogram ABCD. Choose all of the statements which must be true-example-1
User Omnikron
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2 Answers

3 votes

The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.

User Unbywyd
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3 votes

Answer:


AE=EC


\angle ADB \cong \angle CBD


m\angle ADC + m\angle DCB = 180\°

Explanation:

In the given parallelogram, we know that


AD \parallel BC\\AB \parallel DC

From this parallels and having segment
DB as a transversal, we have


\angle ADB \cong \angle CBD by alternate interior angles.

Then, we have


AE=EC by givens.

Finally, we have


m\angle ADC + m\angle DCB = 180\° , by consecutive interior angles, which are supplementary by definition.

Therefore, the right answers are


AE=EC


\angle ADB \cong \angle CBD


m\angle ADC + m\angle DCB = 180\°

User Dahui
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