Quadrilaterals Exercises

Calculate the measures of the unmarked angles of the kite KITE.

Hint

Which angles are equal in a kite?

If the angles of a kite are all equal, what are their measures? Would the resulting shape fit into any of the other quadrilateral categories?

Hint

What properties would the diagonals have with equal angles?

Is a parallelogram always a kite?

Hint

What do we know about consecutive sides of parallelograms?

Is a square always a kite?

Hint

Is a square a rhombus?

A kite has a perimeter of 60 km with one side length of 20 km. What are the lengths of the other three sides?

Hint

Which sides have to be congruent? How do these sides relate to the perimeter?

Calculate the perimeter of the kite JKLM.

Hint

Use the Pythagorean Theorem. It has never failed you before, has it? (If it has, blame Pythagoras, not us.)