Question

Dilation stretches or shrinks a figure. The image created by dilation is similar to

the original figure. The scale factor (k) of dilation is the ratio of corresponding side

lengths. The centre of dilation is a fixed point in the plane about which all points are

expanded or contracted.



(a) From the above given information, triangles ABC and A' B' C ' are similar.

Which of the following options will hold good?

(i) Δ BAC ~ Δ A' B' C ' (ii) Δ BCA ~ Δ C' B' A '

(iii) Δ CBA ~ Δ B' C' A ' (iv) Δ CAB ~ Δ C' A' B'

(b) The dimensions of the model of a multi-storeyed building are 1.2 m x 75 cm x 2 m.

If the scale factor is 1: 30, what are the actual dimensions of the building?

(i) 36 m x 22. 5 m x 60 m (ii) 10.2 m x 2 m x 15 m

(iii) 120 cm x 150 cm x 200 cm (iv) 24 m x 14.4 m x 80 m

(c) With what scale factor BC= 0.9 m is to be multiplied to get the value of ‘h’ which is

B' C' in the above given real life situation (shown in the figure)?

(i) 3 : 1 (ii) 1 : 2 (iii) 1 : 3 (iv) 2 : 1

(d) If two similar triangles have a scale factor of a: b,which statement regarding the

two triangles is true?

(i)The ratio of their perimeters is a: b

(ii)Their altitudes have a ratio a: 3b

(iii)Their medians have a ratio

2

: b

(iv)Their angle bisectors have a ratio a²: b ²​

Answer 1

Answer:

answer is 1

answer is 4

answer is 3

Step-by-step explanation: