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Makovka662 [10]
3 years ago
8

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

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

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

stiv31 [10]3 years ago
3 0

Answer:

AE=EC

\angle ADB \cong \angle CBD

m\angle ADC + m\angle DCB = 180\°

Step-by-step 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\°

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