Properties of quadrilaterals · Grade 7
In Grade 7 you learn: angles in quadrilaterals.
A quadrilateral is any four-sided shape. Squares, rectangles, rhombuses, parallelograms, trapeziums and kites each have their own properties of sides, angles, diagonals and symmetry, which help us name them and find missing angles.
Key facts
- The angles in any quadrilateral add up to 360°.
- Parallelogram: opposite sides equal and parallel; opposite angles equal; neighbouring angles add to 180°.
- Trapezium: exactly one pair of parallel sides. Kite: two pairs of equal adjacent sides, one pair of equal opposite angles.
Worked examples
Example 1
ABCD is a parallelogram with angle A = 64°. Find angles B, C and D.
Answer: B = 116°, C = 64°, D = 116°
Example 2
The angles of a quadrilateral are x, 2x, 3x and 4x. Find the largest angle.
Answer: 144°