SHAPES
Trapezium
A trapezium is a quadrilateral with one pair of opposite parallel sides.
Properties:
- The parallel sides are called bases.
- The other two non-parallel sides are called legs.
- If the two non-parallel sides are equal and form equal angles at one of the bases, the trapezium is an isosceles trapezium.
Kite
A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
Properties:
- The two angles are equal where the unequal sides meet.
- It can be viewed as a pair of congruent triangles with a common base.
- It has 2 diagonals that intersect each other at right angles.
- The longer or main diagonal bisects the other diagonal.
- A kite is symmetrical about its main diagonal.
- The shorter diagonal divides the kite into 2 isosceles triangles.
Parallelogram
A parallelogram is a quadrilateral with two pairs of parallel sides.
Properties:
- Opposite sides are parallel and equal in length.
- Opposite angles are equal in measure.
- Adjacent angles sum up to 180 degrees.
- It has 2 diagonals that bisect each other.
- Each diagonal divides the parallelogram into 2 congruent triangles.
- The two diagonals divide the parallelogram into 4 triangles of equal area.
- Square, rectangle, and rhombus are special types of a parallelogram.
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