Question

A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.

Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.

Answer 1

Explanation:

I am not sure this is typed all correctly.

what I understand here :

there is an original triangle ABC in inches.

then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.

the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.

due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.

and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).

that means that all side lengths are divided by 16 for the resulting triangle.

8 inches /16 = 0.5 inches

19.2 inches / 16 = 1.2 inches

20.8 inches / 16 = 1.3 inches

so, the second answer option is correct.