Properties
What is a trapezium?
A quadrilateral with at least one pair of opposite sides parallel
What is the area formula of a trapezium?
Area = 1/2 × (a + b) × h, where a and b are the bases, and h is a height
Name a real world object shaped like a trapezium?
A handbag, table, bridge support, etc.
How many sides and angles does a trapezium have?
A trapezium has 4 sides and 4 angles
What are the "bases" in trapezium?
The two parallel sides of the trapezium
Where can you see trapezium shapes in everyday life?
In ramps, bridges, modern furniture, stair sides, etc.
What is an isosceles trapezium?
A trapezium with equal-length legs, equal base angles and equal diagonals
How do you find the perimeter of the trapezium?
Add all four sides: a + b + c + d
Calculate the area: bases 10 and 6, height 4
1/2 × (10 + 6) × 4 = 32.
What is true about the angles on the same leg of a trapezium?
They are supplementary (add up to 180)
How do you prove the area formula of a trapezium using a parallelogram?
Duplicate and rotate the trapezium to form a parallelogram with base (a + b) and height h; then divide its area by 2
Guess the object: helps people go up, side view looks like a trapezium
A ramp
What is a difference between a trapezium and a parallelogram?
A trapezium has only one pair of parallel sides; a parallelogram has two pairs
Find the height if the area is 36 and the bases are 8 and 4
1/2 × (8 + 4) × h = 36 → 6h = 36 → h = 6
Think of your own real-life trapezium and explain why it fits
Example: a street sign with wider base - it has one pair of parallel sides, so it's a trapezium