Higher
Find areas of similar shapes given corresponding lengths
Higher
Find areas of similar shapes given corresponding lengths
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Lesson details
Key learning points
- In this lesson, we will use the linear scale factor to calculate the area scale factor and find areas of similar shapes.
Licence
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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3 Questions
Q1.
Shape A maps to shape B in an enlargement, calculate the scale factor.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707161599%2Ffesm9wnzanexbih2f0tx.png&w=640&q=75)
-1
1
2
Q2.
Why have corresponding vertices been joined up in shapes A and B with straight lines in this enlargement?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707161608%2Fla9u75fclukuuvtte1do.png&w=750&q=75)
They do not do anything useful.
They get extra marks in a test.
Q3.
The point at (-2,-1) is enlarged by a scale factor of -2 from the centre of enlargement at (0,0). What will the new coordinate of the point be?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707161612%2Frwkhp5uh0ff4f4gqtqfy.png&w=640&q=75)
(-4,-2)
(0,0)
(2,1)
4 Questions
Q1.
Shape A and shape B are similar. Calculate the area of shape B.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207985%2Fdfa8j1exe2f6rtdtgjjs.png&w=1080&q=75)
120 cm²
144 cm²
30 cm²
Q2.
Two similar triangles have heights of 2 cm and 10 cm. The area of the smaller triangle is 5 cm². Calculate the area of the larger triangle.
10 cm²
20 cm²
25 cm²
Q3.
Complete the missing word:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207996%2Fj1ecioyzu63gq4svmwvw.png&w=1920&q=75)
eight
four
two
Q4.
Triangle A and triangle B are similar. Calculate the base length of triangle B.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707208017%2Fyt3fynqfmfhowite90p1.png&w=640&q=75)
12 cm
24 cm
4 cm