11MAG Scale Factor Quiz

What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 2:3?

• A) 1:9

• B) 4:9

• C) 2:3

• D) 1:4

Which pair of rectangles are similar?

• A) Two rectangles 10 cm by 2 cm and 20 cm by 8 cm

• B) Two rectangles 6 cm by 9 cm and 12 cm by 18 cm

• C) Two rectangles 5 cm by 8 cm and 15 cm by 30 cm

• D) Two rectangles 7 cm by 14 cm and 21 cm by 40 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which pair of triangles are similar?

• A) Two triangles, one with sides measuring 2 cm, 3 cm and 5 cm and the other 4 cm, 6 cm and 8 cm.

• B) Two triangles, one with sides measuring 3 cm, 5 cm and 6 cm and the other 8 cm, 10 cm and 12 cm.

• C) Two triangles, one with sides measuring 3 cm, 4 cm and 5 cm and the other 6 cm, 8 cm and 10 cm.

• D) Two triangles, one with sides measuring 2 cm, 3 cm and 3.5 cm and the other 5 cm, 6 cm and 7 cm.

Tags

CCSS.HSG.SRT.A.2

The two equilateral triangles shown are similar. The side lengths are 6 cm and 18 cm respectively. Calculate the area of the larger triangle if the area of the smaller triangle is 4 cm².

• 18 cm²

• 12 cm²

• 8 cm²

• 36 cm²

If a poster is 10 cm by 5 cm and it is enlarged and then framed such that the dimensions are doubled, what will be the area of the new poster?

• 40 cm²

• 100 cm²

• 200 cm²

• 50 cm²

Tags

CCSS.7.G.A.1

What is the scale factor if a map has been reduced from 40 cm by 20 cm to 16 cm by 8 cm? Give your answer correct to two decimal places.

Tags

CCSS.7.G.A.1

Two spherical balloons are similar, with the radius of the larger balloon being 2 times the radius of the smaller balloon. How many times larger is the volume of the larger balloon than the volume of the smaller balloon?

• 2 times

• 4 times

• 6 times

• 8 times

Two cones are similar and have radii of 6 cm and 18 cm respectively. What is the ratio of their heights?

• 1:3

• 3:1

• 1:2

• 2:1

Two spheres are similar and have diameters of 10 cm and 20 cm respectively. What is the ratio of their volumes?

Calculate the volume ratio of two cuboids if their dimensions are in the ratio 2:4.

• 1:2

• 1:4

• 1:8

• 2:1