2D Shapes
Quadrilaterals
Learning Objective:
• Identify, describe, classify and sketch quadrilaterals,
including reference to angles, symmetrical properties,
parallel sides and diagonals.
Quadrilaterals
A quadrilateral is a shape that has 4 sides.
Vocabularies
Quadrilateral = any shape with four sides
Parallel = lines that are always the same distance apart
Bisect = divide into two equal parts.
Diagonal = lines connecting two opposite vertices.
Trapezia = plural form of trapezium
Diagonal lines
bisect the
parallelogram
into 2 parts
equally.
Properties of quadrilaterals.
1. Parallel sides
a. An isosceles trapezium has 1 pair of parallel sides.
b. A kite has no pairs of parallel sides.
c. A parallelogram has 2 pairs of parallel sides.
d. A rectangle has 2 pairs of parallel sides.
e. A rhombus has 2 pairs of parallel sides.
f. A square has 2 pairs of parallel sides.
g. A trapezium has 1 pair of parallel sides.
Properties of quadrilaterals.
2. Equal sides
a. An isosceles trapezium has 1 pair of equal sides.
b. A kite has 2 pairs of equal sides.
c. A parallelogram has 2 pairs of equal sides.
d. A rectangle has 2 pairs of equal sides.
e. A trapezium has no pairs of equal sides.
f. A square and a rhombus have 4 equal sides.
Properties of quadrilaterals.
Equal angles
3. Angles
Equal angles
a. An isosceles trapezium has 2 pairs of equal angles.
b. A kite has 1 pair of equal angles.
c. A parallelogram has 2 pairs of equal angles. The opposite angles are equal.
d. A rectangle and a square have 4 equal angles. Each of the angle measures 90o.
e. A trapezium has no pairs of equal angles.
f. A rhombus have 2 pairs of equal angles (not 90o)
Let’s Practice!
Complete with words from the box.
1. A _________________ is any shape with four sides.
2. One quadrilateral with one pair of parallel sides is a _________________ .
3. _________________ lines are always the same distance apart.
4. You can _________________ the rectangle into two equal parts.
5. Two quadrilaterals with one pair of parallel sides are _________________ .
6. You can join opposite vertices of a quadrilateral with _________________ lines.
Answer
Complete with words from the box.
1. A quadrilateral is any shape with four sides.
2. One quadrilateral with one pair of parallel sides is a trapezium .
3. Parallel lines are always the same distance apart.
4. You can bisect the rectangle into two equal parts.
5. Two quadrilaterals with one pair of parallel sides are trapezia .
6. You can join opposite vertices of a quadrilateral with diagonal lines.
Let’s Practice!
7. This shape has four equal sides and all angles are 90 °. The diagonals bisect each
other. What is it?
8. This shape has two pairs of equal, parallel sides and all angles are 90 °. The
diagonals bisect each other. What is it?
9. This shape has two pairs of equal, parallel sides. It has two pairs of equal angles
(not 90 °). What is it?
10. This shape has two parallel sides. The length of the sides is not necessarily equal.
What is it?
11. In this shape, the two pairs of sides that are next to each other are equal. What is
it?
Answer
7. This shape has four equal sides and all angles are 90 °. The diagonals bisect each
other. What is it? A square
8. This shape has two pairs of equal, parallel sides and all angles are 90 °. The
diagonals bisect each other. What is it? A rectangle
9. This shape has two pairs of equal, parallel sides. It has two pairs of equal angles
(not 90 °). What is it? A parallelogram
10. This shape has two parallel sides. The length of the sides is not necessarily equal.
What is it? A trapezium
11. In this shape, the two pairs of sides that are next to each other are equal. What is
it? A kite
Let’s Practice!
12. Write the name of each shape inside it. One has been done for you.
Answer
12. Write the name of each shape inside it. One has been done for you.
Kite
Rectangle Rhombus
Parallelogram Trapezium Isosceles
trapezium
Let’s Practice!
13. Which three of the quadrilaterals drawn above have two pairs of equal sides?
___________ ___________ ___________
14. Which two of the quadrilaterals drawn above have one pair of parallel sides?
___________ ___________
15. Which three of the quadrilaterals drawn above have two pairs of equal angles?
___________ ___________ ___________
16. Which of the quadrilaterals drawn above have diagonals that meet at 90 °?
_________________________________________________________________
17. Which of the quadrilaterals drawn above has one pair of equal angles?
_________________________________________________________________
Answer.
13. Which three of the quadrilaterals drawn above have two pairs of equal sides?
Rectangle, kite, parallelogram.
14. Which two of the quadrilaterals drawn above have one pair of parallel sides?
Trapezium, isosceles trapezium.
15. Which three of the quadrilaterals drawn above have two pairs of equal angles?
Rhombus, parallelogram, isosceles trapezium.
16. Which of the quadrilaterals drawn above have diagonals that meet at 90 °?
Square, rhombus, kite.
17. Which of the quadrilaterals drawn above has one pair of equal angles?
Kite.
Self Reflection!
1. Can you Identify quadrilaterals.
2. Can you describe quadrilaterals
3. Can you classify quadrilaterals?
Thank you for learning ☺
