Topics
6. Similar Figures and Scale factors
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AustraliaAU
Year 11

6.03 Applications of scale factor to area, surface area and volume

Lesson
Worksheet
Practice

Interactive practice questions

Consider the two given triangles.

Two triangles displayed on a grid. The smaller triangle on the left has vertices labeled A, B, and C, with vertex C serving as the apex of triangle ABC, and vertices A and B located on the base. Vertex A is 4 units to the left of vertex B. Vertex C is 3 units above the base AB. The larger triangle on the right has vertices labeled D, E, and F, with vertex F as the apex of triangle DEF, and vertices D and E positioned on the base. Vertex D is 8 units to the left of vertex E. Vertex F is 6 units above base DE Triangle DEF is an enlarged version of triangle ABC.
a

What scale factor is used to enlarge the small triangle?

b

What scale factor is used to reduce the large triangle?

c

What is the area of the small triangle?

d

What is the area of the large triangle?

e

What is the enlargement factor for the area of the small triangle?

Easy
2min

A square with area $4$4 cm2 has its side lengths enlarged by a factor of $3$3.

Easy
1min

A triangle has side lengths of $7$7 cm, $10$10 cm and $16$16 cm. A similar triangle to it has $9$9 times the area of the first triangle.

Easy
2min

Find the value of $x$x in each of the following cases:

Easy
3min
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Outcomes

ACMGM024

obtain a scale factor and use it to solve scaling problems involving the calculation of the areas of similar figures

ACMGM025

obtain a scale factor and use it to solve scaling problems involving the calculation of surface areas and volumes of similar solids

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