Area of similar shapes

Area of similar shapes

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Lesson details

Key learning points

  1. In this lesson, we will identify similar shapes and subsequently work out areas of similar shapes using our knowledge of scale factors.

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5 Questions

Q1.
Fill in the gap: in two similar shapes, all corresponding _____ are equal.
Correct answer: Angles
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?
An image in a quiz
0.3
1/3
2.5
Correct answer: 3
Q3.
Triangles DEF and GHI are similar. What is the scale factor of enlargement if DEF is the object and GHI is the image?
An image in a quiz
0.3
Correct answer: 1/3
2.5
3
Q4.
Are PQR and SPR similar?
An image in a quiz
No
Correct answer: Yes
Q5.
Are triangles PQS and SQR similar?
An image in a quiz
Correct answer: No
Yes

5 Questions

Q1.
The two rectangles below are similar. What is the scale factor of enlargement if the object is on the left and the image on the right?
An image in a quiz
2
Correct answer: 2.5
3
3.5
Q2.
The two rectangles below are similar. What is the scale factor for the area if the object is on the left and the image on the right?
An image in a quiz
2
2.5
4
Correct answer: 6.25
Q3.
The two rectangles below are similar. What is the scale factor of enlargement if the object is on the right and the image on the left?
An image in a quiz
0.16
Correct answer: 0.4
16
4
Q4.
The two rectangles below are similar. What is the scale factor for the area if the object is on the right and the image on the left?
An image in a quiz
Correct answer: 0.16
0.4
16
4
Q5.
Fill in the gap: to find the area scale factor, you must ______ the scale factor of enlargement.
cube
double
find the reciprocal
Correct answer: square

Lesson appears in

UnitMaths / Similarity and enlargement