Nested triangles

In this lesson, we will apply your understanding of similarity to nested triangles to calculate missing sides and angles.

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.Fill in the gap: if one shape is an enlargement of another, then these shapes are called ________ shapes.

1/5

Q2.Fill in the gap: in all similar shapes, corresponding __________ are equal.

2/5

Q3.Fill in the gap: corresponding sides of similar shapes are all enlarged by the same __________.

3/5

Q4.Are triangles ABC and LMN similar?

4/5

Q5.What is the scale factor of enlargement from ABC to LMN?

5/5

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.Fill in the gap: if one shape is an enlargement of another, then these shapes are called ________ shapes.

1/5

Q2.Fill in the gap: in all similar shapes, corresponding __________ are equal.

2/5

Q3.Fill in the gap: corresponding sides of similar shapes are all enlarged by the same __________.

3/5

Q4.Are triangles ABC and LMN similar?

4/5

Q5.What is the scale factor of enlargement from ABC to LMN?

5/5

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

Quiz:

Nested triangles quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Fill in the gap: in two similar shapes, all corresponding _____ are equal.

1/5

Q2.Triangles DEF and GHI are similar. What is the scale factor of enlargement if GHI is the object and DEF is the image?

2/5

Q3.Triangles DEF and GHI are similar. What is the scale factor of enlargement if DEF is the object and GHI is the image?

3/5

Q4.Are PQR and SPR similar?

4/5

Q5.Are triangles PQS and SQR similar?

5/5

Quiz:

Nested triangles quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Fill in the gap: in two similar shapes, all corresponding _____ are equal.

1/5

Q2.Triangles DEF and GHI are similar. What is the scale factor of enlargement if GHI is the object and DEF is the image?

2/5

Q3.Triangles DEF and GHI are similar. What is the scale factor of enlargement if DEF is the object and GHI is the image?

3/5

Q4.Are PQR and SPR similar?

4/5

Q5.Are triangles PQS and SQR similar?

5/5

Lesson summary: Nested triangles

Time to move!

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