Study the properties of quadrilaterals — parallelograms, rectangles, rhombuses, squares, and trapeziums.
In a parallelogram, opposite sides are equal and parallel, opposite angles are equal, and diagonals bisect each other.
In parallelogram ABCD, angle A=110°. Find angle C and angle B.
Angle C=110° (opposite angle equal); angle B=180−110=70° (co-interior)
A parallelogram has diagonal AC=14 cm. Where does the other diagonal intersect it?
At its midpoint, 7 cm from each end, since diagonals bisect each other
A rectangle has all angles 90° with equal diagonals. A rhombus has all sides equal with perpendicular diagonals. A square combines both. A trapezium has only one pair of parallel sides.
A quadrilateral has all sides equal and diagonals bisecting at 90°. What is it?
A rhombus
A trapezium has parallel sides 8 cm and 14 cm. What is special about a trapezium compared to a parallelogram?
A trapezium has only one pair of parallel sides, while a parallelogram has two pairs
1. In parallelogram PQRS, angle P=75°. Find angle Q.
2. A rectangle has diagonal 13 cm. What can be said about the other diagonal?
3. A rhombus has diagonals 6 cm and 8 cm. Find its side length using Pythagoras.
4. What distinguishes a square from a rectangle?
5. A quadrilateral has exactly one pair of parallel sides. What is it called?