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iGCSE (2021 Edition)

9.05 Quadrilaterals

Worksheet
Types of quadrilaterals
1

State whether the following quadrilaterals are convex or concave:

a
b
c
d
e
2

Classify the following quadrilaterals using all the terms that apply out of:

rectangle, rhombus, kite, parallelogram.

a
b
c
d
e
f
g
h
i
3

In the quadrilateral ABCD, side AB has a length of 6. State which other side of ABCD has a length of 6:

4

Which pair of sides are parallel in this trapezium?

5

What is largest number of internal reflex angles that a quadrilateral can have? Explain your answer.

6

What is the largest number of obtuse angles that a quadrilateral can have? Explain your answer.

7

What is the largest number of right angles that a quadrilateral can have? Explain your answer.

8

Can a quadrilateral have exactly 2 right angles? If so, name a quadrilateral that could have two right-angles.

9

Can a quadrilateral have exactly 3 right angles? If so, name a quadrilateral that could have two right-angles.

10

Determine whether each quadrilateral is a trapezium, parallelogram, or neither:

a
b
c
d
Unknown angles
11

Find the value of x in the following quadrilaterals:

a
b
c
d
e
f
g
h
i
j
k
12

Find the value of the pronumerals in the following quadrilaterals:

a
b
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Outcomes

0580C4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580C4.7C

Calculate unknown angles using angle properties of triangles and quadrilaterals.

0580E4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580E4.7C

Calculate unknown angles using angle properties of triangles and quadrilaterals.

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