# Ratio and proportion in geometry

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## Lesson details

### Key learning points

- 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 Oak’s terms & conditions (Collection 1), except where otherwise stated.

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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

### 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 𝐴𝐸: 𝐴𝐶 = 6: 9 = 2:___

1

2

4

Q4.

Fill in the gap: The ratio of 𝐴𝐸: 𝐸𝐶 = ___: 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

5/3

5/8