Question

The options for the first drop-down menu:

a) 1.2
b) -1.2
c) -3.6

The options for the second drop-down menu:

a) 1/3 q
b) 3 q
c) -1.2 p
d) (p + q + r)

Answer 1

dilatation doesn't change slope, so the slope same b) -1.2.

for the length, just multiply with scale and obtain b) 3q

Answer 2

1. The correct option is b.

2. The correct option is b.

Explanation:

It is given that triangle ABC dilated by scale factor 3 and the center of dilation is origin.

Dilation shows the enlargement and compression of the figure. Both image and preimge are similar.

1. The slopes of corresponding sides are same, therefore slope of side AB is equal to the slope of side A'B'. i.e., -1.2. Option b is correct.

2. The corresponding sides are proportional.

`k=(A'C')/(AC)`

`3=(A'C')/(q)`

multiply both sides by q.

`3q=A'C'`

Therefore option b is correct.