# Ratio and proportion in geometry

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## Lesson details

### Key learning points

1. In this lesson, we will divide oblique line segments into specified ratios by dividing the segment's horizontal and vertical displacements in the same ratio.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oakβs terms & conditions (Collection 1), except where otherwise stated.

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
I draw a rectangle and the side lengths are in the ratio 5:7. What fraction of the perimeter are the longer sides?
5/12
5/7
7/5
Q2.
I have a bag of pink and brown cubes. 5/11 of the cubes are pink. What is the ratio of pink cubes:brown cubes?
11:5
5:11
6:5
Q3.
A triangle has side lengths in the ratio 5 : 5 : 3. What type of triangle is it?
Equilateral
Scalene
Q4.
A triangle has side lengths in the ratio 5 : 5 : 3. What fraction of the perimeter is the shortest side?
10/13
3/5
5/3
Q5.
A rectangle has side lengths in the ratio 4:3. How long would the longer side of this rectangle be, if the shorter side is 24m?
24m
6m
8m

## Exit quiz

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### 5 Questions

Q1.
Fill in the gap: We can divide a line segment into a given ________ by considering the coordinates of its endpoints.
constant
coordinate
proportion
Q2.
Fill in the gap: The _____________ of proportionality of ADE to ABC is 1.5.
coordinate
proportion
ratio
Q3.
Fill in the gap: The ratio of π΄πΈ: π΄πΆ = 6: 9 = 2:___
1
2
4
Q4.
Fill in the gap: The ratio of π΄πΈ: πΈπΆ = ___: 1
1
3
4
Q5.
A line segment ABC is split in the ratio AB to BC as 3 : 5. What fraction of the line segment is AB?
3/5