Question

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.

Answer 1

Answer:

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.