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iGCSE (2021 Edition)

7.05 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

0607C5.1

Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar. Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures.

0607C5.4D

Angle sum of a quadrilateral.

0607E5.1

Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar. Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures.

0607E5.4D

Angle sum of a quadrilateral.

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