Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the scale drawing to the area of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is 1:16. The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor.

The correct option is;

The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor

Step-by-step explanation:

Here we have a scale factor of 1:8

Therefore area of drawing = 1/2*base, b*height, h = 1/2*b*h

Hence, the area of the triangular sin will be given by 1/2*8*b*8*h

Area of triangular sign = 64 * 1/2*b*h

Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.