Year 9

Year 9

# Nested triangles

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## Lesson details

### Key learning points

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

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## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Fill in the gap: if one shape is an enlargement of another, then these shapes are called ________ shapes.
congruent
opposite
the same
Q2.
Fill in the gap: in all similar shapes, corresponding __________ are equal.
Areas
Corners
Sides
Q3.
Fill in the gap: corresponding sides of similar shapes are all enlarged by the same __________.
Amount
Bigger
Multiplication
Q4.
Are triangles ABC and LMN similar?
No
Q5.
What is the scale factor of enlargement from ABC to LMN?
1
2
2.5

## Exit quiz

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### 5 Questions

Q1.
Fill in the gap: in two similar shapes, all corresponding _____ are equal.
Areas
Perimeters
Sides
Q2.
Triangles DEF and GHI are similar. What is the scale factor of enlargement if GHI is the object and DEF is the image?
0.3
1/3
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?
0.3