Question

(Please help HURRY!) (Don't delete this!) (I WILL GIVE BRAINY!)

1. ABC undergoes a dilation, with a scale factor of 8, to form A'B'C'.

Side A'B' is 8 times the length of side AB.

What is the area of A'B'C', compared to the area of ABC?

A. The area of A'B'C' is 1/8 of the area of ABC

B. The area of A'B'C' is 1/64 of the area of ABC

C. The area of A'B'C' is 8 times the area of ABC

D. The area of A'B'C' is 64 times the area of ABC






2. DEF undergoes a dilation, with a scale factor of 4, to form D'E'F'.

Side D'E' is 8 times the length of side DE.

What is the area of D'E'F', compared to the area of DEF?

A. The area of D'E'F' is 1/4 of the area of DEF

B. The area of D'E'F' is 1/16 of the area of DEF

C. The area of D'E'F' is 4 times the area of DEF

D. The area of D'E'F' is 16 times the area of DEF






3. ABC undergoes a dilation, with a scale factor of 3, to form A'B'C'.

Side A'B' is 3 times the length of side AB.

What is the area of A'B'C', compared to the area of ABC?

A. The area of A'B'C' is 1/3 of the area of ABC

B. The area of A'B'C' is 1/9 of the area of ABC

C. The area of A'B'C' is 3 times the area of ABC

D. The area of A'B'C' is 9 times the area of ABC

Answer 1

1. A or B

2. C

3. I think B

Answer 2

area of triangle is = 1/2 * base * altitude

1- each side is made 8 times

so the net change in area is 64 times

The area of A'B'C' is 64 times the area of ABC

2- each side is made 4 times

so the net change in area is 16 times

The area of D'E'F' is 16 times the area of DEF

3- each side is made 3 times

so the net change in area is 9 times

The area of A'B'C' is 9 times the area of ABC