Question

1. for each pair of figures, state whether the second figure represents a scale - drawing of the first figure. explain your answer.

Explanation:

Step1: Recall scale - drawing definition

A scale - drawing is a proportional representation of an object. All lengths in the scale - drawing are in the same ratio to the corresponding lengths in the original object.

Step2: Analyze part a

The shapes of the trees in the second figure are not in proportion to the first - figure trees. For example, the relative heights and widths of the trees are different. So, the second figure is not a scale - drawing of the first.

Step3: Analyze part b

The two owl - shaped figures are similar. The lengths of all the corresponding parts (like the distance between the eyes, the size of the beak) of the second owl are in the same ratio to the first owl. So, the second figure is a scale - drawing of the first.

Step4: Analyze part c

The second mountain - scene figure is not in proportion to the first. The relative heights and positions of the mountains, clouds, and the sun are different. So, the second figure is not a scale - drawing of the first.

Answer:

a. No, the shapes are not in proportion.
b. Yes, the figures are similar and in proportion.
c. No, the shapes are not in proportion.