Properties of Quadrilaterals (Set 2) Worksheet

Sample problems

Use the defining properties of each shape. In a parallelogram, opposite sides and opposite angles are equal, consecutive angles are supplementary, and the diagonals bisect each other. A rectangle adds equal diagonals; a rhombus adds four equal sides and perpendicular diagonals; a kite has perpendicular diagonals, one of which bisects the other. The four angles of any quadrilateral sum to $360^{\circ }$. Show your reasoning.

1. 1. In a parallelogram, one angle measures $128^{\circ }$. Find the measure $x$ of an angle next to it (a consecutive angle).
2. 2. In a parallelogram, one angle measures $64^{\circ }$. Find the measure $x$ of the angle opposite it.
3. 3. The four angles of a quadrilateral measure $100^{\circ }$, $78^{\circ }$, $122^{\circ }$, and $x^{\circ }$. Find $x$.
4. 4. A rhombus has a perimeter of $60$. Find the length of one side.

Plus 10 more problems and a full answer key in the PDF.