What scale factor is applied to triangle BCD to produce triangle EFG?

Question

the bcd box has sides with 28cm 36cm and 32cm

the efg box has sides with 14cm 18cm and 16cm

(1 point)
Responses

12
1 half

2
2

14
14

16

Answer 1

To find the scale factor that converts triangle BCD to triangle EFG, you can compare the corresponding sides of each triangle.

The sides of triangle BCD are:

• 28 cm
• 36 cm
• 32 cm

The sides of triangle EFG are:

• 14 cm
• 18 cm
• 16 cm

Now we calculate the scale factor by dividing the sides of triangle EFG by the corresponding sides of triangle BCD:

1. For the side lengths:
   • \( \frac{14}{28} = \frac{1}{2} \)
   • \( \frac{18}{36} = \frac{1}{2} \)
   • \( \frac{16}{32} = \frac{1}{2} \)

In each case, the scale factor is \( \frac{1}{2} \).

Therefore, the scale factor applied to triangle BCD to produce triangle EFG is 1 half.