Parallelogram Verification: Analysis of Quadrilateral with 100° and 80° Angles

Given the quadrilateral ABCD where:

A=100° ∢A=100°

y C=80° ∢C=80°

AAABBBDDDCCC100°80°

Is it possible to conclude that this quadrilateral is a parallelogram?

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1

Understand the problem

Given the quadrilateral ABCD where:

A=100° ∢A=100°

y C=80° ∢C=80°

AAABBBDDDCCC100°80°

Is it possible to conclude that this quadrilateral is a parallelogram?

2

Step-by-step solution

A parallelogram is a quadrilateral whose two pairs of sides are parallel.

Since we know that angles A and C add up to 180 degrees, we know that AB is parallel to CD.

We have no way to prove if AC is parallel to BD since we have no data regarding angle B or angle D.

Therefore, the quadrilateral is not a parallelogram.

3

Final Answer

No

Practice Quiz

Test your knowledge with interactive questions

Shown below is the quadrilateral ABCD.

AB = 15 and CD = 13.

BD = 6 and AC = 4

AAABBBDDDCCC134615

Is it possible to conclude that this quadrilateral is a parallelogram?

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