Question 1

Which statement is true about the ratio of corresponding sides of similar shapes?

Accepted Answer

The ratio of corresponding sides of similar shapes is proportional.

Answer

The ratio of corresponding sides of similar shapes is always 0.

Answer

The ratio of corresponding sides of similar shapes is random.

Answer

The ratio of corresponding sides of similar shapes is always 1.

Question 2

A triangle has a scale factor of 2 compared to a smaller similar triangle. If the length of one side in the smaller triangle is 5 cm, what is the length of the corresponding side in the larger triangle?

Accepted Answer

10 cm

Answer

15 cm

Answer

2.5 cm

Answer

7.5 cm

Question 3

Two triangles are similar. The ratio of their corresponding sides is 3:5. If the length of one side in the smaller triangle is 10 cm, what is the length of the corresponding side in the larger triangle?

Accepted Answer

16.67 cm

Answer

6 cm

Answer

30 cm

Answer

12 cm

Question 4

Two rectangles are similar. The width of one rectangle is 6 meters. If the scale factor between the two rectangles is 2, what is the width of the corresponding rectangle?

Accepted Answer

12 meters

Answer

9 meters

Answer

3 meters

Answer

18 meters

Question 5

If the rectangle is enlarged by a scale factor of 3, what will be the length of new rectangle formed.

Accepted Answer

18m

Answer

24m

Answer

2m

Answer

12 m

Question 6

Are these television screens similar?

Accepted Answer

yes ,as the ratio of corresponding sides are equal and corresponding angles are equal

Answer

yes, as all angles are equal

Answer

no ,as corresponding sides are not equal

Answer

no, as corresponding sides ratio are not equal

Question 7

In the diagram, ΔKLM ~ ΔNPQ. Find the value of y.

Accepted Answer

24 m

Answer

24 km

Answer

12m

Answer

24 mm

Question 8

Quadrilateral ABCD has vertices A(-1, -1), B(0, 1), C(2, 2), and D(3, 0). Dilate using a scale factor of 3.

Accepted Answer

A(-3,-3); B(0,3); C( 6,6),; D(9,0)

Answer

A(-1,-3) ;B( 0,-3) ;C( 2,6) ; D( 1,0)

Answer

A( $\frac{-1}{3}$ , $\frac{-1}{3}$ );B( 0, $\frac{1}{3}$ );C( $\frac{2}{3},\frac{2}{3}$ ); D(1,0)

Question 9

ΔLMN is similar to ΔPQR. Find the value of x.

Accepted Answer

12 ft

Answer

18ft

Answer

15 ft

Answer

6 ft

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