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Similar Shapes

In this worksheet, students explore similar shapes and find the length of the missing sides.

'Similar Shapes' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Apply Facts About Angles and Sides

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Similar shapes have matching corresponding angles and corresponding sides which are in the same ratio.

In these two triangles the angles match and you will notice that the second triangle has sides which are double in length of the sides of the first triangle.

We can use fractions to write some of these ratios:

 

3  =  6

7     14

 

or

 

3  =  7

6     14

State whether or not these shapes are similar.

The triangles' angles match.

 

 

 

Yes

No

State whether or not these shapes are similar.

The triangles' angles match.

 

 

 

Yes

No

State whether or not these rectangles are similar.

 

 

 

Yes

No

State whether or not these rectangles are similar.

 

 

 

Yes

No

State whether or not these rectangles are similar.

 

 

 

Yes

No

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

  • Question 1

State whether or not these shapes are similar.

The triangles' angles match.

 

 

 

CORRECT ANSWER
No
  • Question 2

State whether or not these shapes are similar.

The triangles' angles match.

 

 

 

CORRECT ANSWER
Yes
  • Question 3

State whether or not these rectangles are similar.

 

 

 

CORRECT ANSWER
Yes
  • Question 4

State whether or not these rectangles are similar.

 

 

 

CORRECT ANSWER
Yes
  • Question 5

State whether or not these rectangles are similar.

 

 

 

CORRECT ANSWER
No
  • Question 6

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

CORRECT ANSWER
10
  • Question 7

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

CORRECT ANSWER
5
  • Question 8

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

CORRECT ANSWER
2
  • Question 9

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

CORRECT ANSWER
21
  • Question 10

These two shapes are similar.

State the missing length in cm.

(Just write the number)

 

 

 

CORRECT ANSWER
3
---- OR ----

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