Quadrilaterals Exercises

Calculate the measures of the unmarked angles of the parallelogram if x = 5 units.

Hint

Would the measures of the angles be different if x = 500 units?

If the one angle of a parallelogram measures 40°, find the measures of the other three angles.

Hint

What do we know about the angles of parallelograms—or quadrilaterals in general?

In quadrilateral ABCD, ∠1 is not congruent to ∠3. Prove ABCD is not a parallelogram.

Hint

When you see a not in the conclusion, it's a pretty good indicator to use an indirect proof.

Calculate the perimeter of the parallelogram FGHJ shown in the figure.

Hint

There's a rumor going around that opposite sides of a parallelogram are congruent. But shhhhh. You didn't hear it from us.

Calculate the perimeter of the parallelogram if the length of the horizontal side is 12.

Hint

Use the Pythagorean Theorem, young grasshopper. It will bring you many good fortunes (and among them, the right answer).

Calculate the perimeter of the parallelogram.

Hint

Either use your special triangle knowledge or make use of some trig ratios. Your choice.