Year 10
Higher

Find missing lengths in similar shapes which have sides overlapping

Year 10
Higher

Find missing lengths in similar shapes which have sides overlapping

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Lesson details

Key learning points

  1. In this lesson, we will find missing side lengths for similar shapes which have side lengths overlapping

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3 Questions

Q1.
The two shapes are similar. What is the scale factor of the enlargement?
An image in a quiz
Correct answer: 2
3
4
5
Q2.
These two shapes are similar, what is the length of side marked x?
An image in a quiz
Correct answer: 10 cm
16 cm
2.5 cm
9 cm
Q3.
These two shapes are similar, what is the length of side marked x?
An image in a quiz
10 cm
16 cm
4 cm
Correct answer: 8 cm

3 Questions

Q1.
Triangle ABC is similar to triangle ADE. What is the length of side marked x? (not drawn to scale)
An image in a quiz
12 cm
15 cm
16 cm
Correct answer: 20 cm
Q2.
The diagram (not drawn to scale) shows two similar triangles. Work out the side length AD.
An image in a quiz
Correct answer: 16.5 cm
22 cm
27.5 cm
5.5 cm
Q3.
The diagram (not drawn to scale) shows two similar triangles. Work out the side length BD.
An image in a quiz
16.5 cm
22 cm
27.5 cm
Correct answer: 5.5 cm