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iGCSE (2021 Edition)

9.04 Triangles

Worksheet
Types of triangles
1

What makes a triangle:

a

Acute?

b

Obtuse?

c

Right-angled?

2

Draw an example of the following types of triangles:

a

Obtuse triangle

b

Acute triangle

c

Right-angled triangle

3

Identify the following triangles as either acute, obtuse, or right-angled:

a
b
c
d
e
f
g
4

What makes a triangle:

a

Scalene?

b

Isoceles?

c

Equilateral?

5

Draw an example of the following types of triangles:

a

Scalene triangle

b

Isoceles triangle

c

Equilateral triangle

6

Identify the following triangles as either scalene, isosceles, or equilateral:

a
b
c
d
e
f
g
h
i
j
7

Categorise the following triangles in terms of the size of their angles and the relative length of their sides:

a
b
c
d
e
f
g
h
Unkown angles in triangles
8

Find the value of x in the following diagrams:

a
b
c
d
e
f
g
h
9

For the following diagrams:

i

Find the value of x.

ii

Hence or otherwise, classify the triangle.

a
b
10

Consider the following diagram:

a

Find the value of x.

b

Find the value of y.

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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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