Maths

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Ratio and proportion in geometry

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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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.I draw a rectangle and the side lengths are in the ratio 5:7. What fraction of the perimeter are the longer sides?

1/5

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?

2/5

Q3.A triangle has side lengths in the ratio 5 : 5 : 3. What type of triangle is it?

3/5

Q4.A triangle has side lengths in the ratio 5 : 5 : 3. What fraction of the perimeter is the shortest side?

4/5

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?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.I draw a rectangle and the side lengths are in the ratio 5:7. What fraction of the perimeter are the longer sides?

1/5

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?

2/5

Q3.A triangle has side lengths in the ratio 5 : 5 : 3. What type of triangle is it?

3/5

Q4.A triangle has side lengths in the ratio 5 : 5 : 3. What fraction of the perimeter is the shortest side?

4/5

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?

5/5

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Ratio and proportion in geometry

Show your understanding on today's lesson by completing the quiz.

Q1.Fill in the gap: We can divide a line segment into a given ________ by considering the coordinates of its endpoints.

1/5

Q2.Fill in the gap: The _____________ of proportionality of ADE to ABC is 1.5.

2/5

Q3.Fill in the gap: The ratio of 𝐴𝐸: 𝐴𝐶 = 6: 9 = 2:___

3/5

Q4.Fill in the gap: The ratio of 𝐴𝐸: 𝐸𝐶 = ___: 1

4/5

Q5.A line segment ABC is split in the ratio AB to BC as 3 : 5. What fraction of the line segment is AB?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Ratio and proportion in geometry

Show your understanding on today's lesson by completing the quiz.

Q1.Fill in the gap: We can divide a line segment into a given ________ by considering the coordinates of its endpoints.

1/5

Q2.Fill in the gap: The _____________ of proportionality of ADE to ABC is 1.5.

2/5

Q3.Fill in the gap: The ratio of 𝐴𝐸: 𝐴𝐶 = 6: 9 = 2:___

3/5

Q4.Fill in the gap: The ratio of 𝐴𝐸: 𝐸𝐶 = ___: 1

4/5

Q5.A line segment ABC is split in the ratio AB to BC as 3 : 5. What fraction of the line segment is AB?

5/5

Lesson summary: Ratio and proportion in geometry

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Time to move!

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The next lesson in:
Ratio review (9.7a)
is:
Dividing into a ratio

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