Question

20. Given circle C with radius r and circle D with radius

s, what is an appropriate first step when proving

circle C is similar to circle D?

O A. Transform circle C with a dilation that has center

Cand scale factors.

B. Transform circle C with a dilation that has center

C and scale factor r.

O C. Transform circle C with the translation that maps

point Conto point D.

OD. Transform circle C with the translation that maps

point onto point C.

Answer 1

It's C

Transform circle C with the translation that maps point Conto point D.

Answer 2

A. Transform circle C with a dilation that has center C and scale factor s.

Explanation:

Given

Circle C

`radius = r`

Circle D

`radius = s`

Required

Map C to D

From the question, we can assume that:

`r \\e s`

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

Hence, (A) is correct