Question

Which scale drawing is a dilation that decreased the size of the original object it represents? Figure 1 is the star with scale 1:5
1
:
5
, Figure 2 is the octagon with scale 2:0.5
2
:
0.5
, Figure 3 is the triangle with scale 10:1
10
:
1
, and Figure 4 is the pentagon with scale 1:0.1
1
:
0.1
.

Answer 1

Figure 1 only.

Reason: a dilation decreases size when the scale factor < 1. Compute each scale factor (first number ÷ second number):
- Fig. 1: 1 ÷ 5 = 0.2 (< 1) — decreased.
- Fig. 2: 2 ÷ 0.5 = 4 (> 1) — enlarged.
- Fig. 3: 10 ÷ 1 = 10 (> 1) — enlarged.
- Fig. 4: 1 ÷ 0.1 = 10 (> 1) — enlarged.