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CanadaON
Grade 9

9.01 Angles and triangles

Worksheet
Angle sum of a triangle
1

Find the value of x in the following diagrams:

a
b
c
d
e
f
g
h
i
2

Consider the given triangle:

a

Find the value of x.

b

Using the angles, classify the triangle.

3

Consider the given triangle:

a

Find the value of x.

b

Hence, find the size of \angle ACB.

4

Consider the given diagram:

a

Find the value of x.

b

Find the value of y.

Properties of triangles
5

State whether it is possible to form a triangle given the following side lengths:

a

6, 3, and 8

b

3, 5, and 9

c

9, 6, and 6

d

13, 7, and 6

e

10, 20, and 9

f

14, 18, and 13

6

Consider the given triangle:

a

Find the sum of the interior angles in the triangle.

b

Is the largest angle opposite the shortest, medium or longest side?

c

Is the smallest angle opposite the shortest, medium or longest side?

7

Consider the given triangle:

State the longest side of this triangle.

8

Consider the given triangle:

State the largest angle of this triangle.

9

Consider the given triangle:

State the shortest side of the triangle.

10

Consider the given triangle:

State the smallest angle of the triangle.

11

Consider the given triangle:

Write down the sides of the triangle from smallest to largest.

12

Consider the given triangle:

a

Find the value of x.

b

Find the size of \angle CAB.

c

Find the size of \angle ABC.

d

Find the size of \angle BCA.

e

Hence, state which side is the longest side of the triangle.

13

Consider the figure shown:

a

State what type of triangle the outer triangle is.

b

Find the value of a.

c

Find the value of b.

14

Consider the figure shown:

a

Find the value of a.

b

Hence, find the value of b.

15

Consider the figure shown:

a

Find the value of x.

b

Hence, find the value of m.

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Outcomes

9.E1.2

Create and analyse designs involving geometric relationships and circle and triangle properties, using various tools.

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