Question

What figure is a dilation of Figure A by a factor of 12?

A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.




Note that the images are not necessarily drawn to scale.





A.A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.


B.A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.


C.A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.


D.A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.

Answer 1

D

Explanation:

Figure A is dilated by a scale factor of 1/2.

Hence, new dimensions will be :

⇒ 1/2 × 2 = 1 inch

⇒ 1/2 × 4 = 2 inches

⇒ 1/2 × 1 = 0.5 inch

⇒ 1/2 × 5 = 2.5 inches

Option D has the right dimensions

Answer 2

The dilation factor for the question should be 1/2 as per options

So

dilated lengths are

• 2(1/2)=1in
• 4/2=2in
• 1/2=0.5in
• 5/2=2.5in

Option D