Question

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

Explanation:

Part a

Step1: Recall scale drawing definition

A scale drawing is a proportional enlargement or reduction, so all corresponding parts (like tree shapes, sizes, proportions) should be scaled by the same factor.

Step2: Analyze the tree pairs

In the first figure, the trees have certain shapes (e.g., the small trees, the medium and large trees). In the second figure, the trees’ shapes (like the trunk details, canopy proportions) are not consistent with a proportional scale. For example, the small trees in the first have simple trunks, but in the second, the trunks and canopies are distorted in a non - proportional way. So the second figure is not a scale drawing.

Part b

Step1: Recall scale drawing definition

A scale drawing must maintain the same shape (proportional) when resized.

Step2: Analyze the owl figures

The first owl and the second owl have the same shape: the head shape (cat - like ears, rounded face), the eye shape (crescent - like), and the beak shape (diamond - like) are all proportional. The second owl is a smaller (scaled - down) version of the first, with all parts reduced by the same scale factor. So the second figure is a scale drawing.

Part c

Step1: Recall scale drawing definition

A scale drawing requires all corresponding elements (mountains, sun, clouds, birds) to be scaled proportionally.

Step2: Analyze the landscape figures

In the first figure, the mountains have a certain number of peaks, the sun has a specific appearance, the clouds have a size, and the birds have a count. In the second figure, the mountains’ shapes (more rounded, different peak counts), the sun’s shape (more flattened), the clouds’ sizes (longer cloud), and the birds’ arrangement are not proportional to the first. So the second figure is not a scale drawing.

Answer:

s:
a. No. The tree shapes, trunk details, and canopy proportions are not scaled proportionally (different parts have inconsistent scaling).
b. Yes. The owl’s head, eyes, and beak maintain the same shape and are scaled down proportionally.
c. No. The mountains’ shapes, sun’s appearance, cloud sizes, and bird arrangement are not scaled proportionally.