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Quadrilaterals Exercises

Example 1

Under what circumstances will ∠ADE in rhombus ABCD be obtuse?

Example 2

A rhombus is a parallelogram by definition. Prove that the converse statement ("A parallelogram is a rhombus") is false.

Example 3

Given that ABCD is a rhombus, what is the value of x?

Example 4

The diagonals of rhombus FRED are 12 ft and 16 ft. What is FRED's perimeter?

Example 5

Find the lengths of the diagonals of rhombus KYLE, KL and YE, given that the measure of ∠KYL is 20° and that KYLE's perimeter is 52 meters.