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Australia
Year 7

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
Unknown 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

ACMMG165

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

ACMMG166

Classify triangles according to their side and angle properties and describe quadrilaterals

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