Triangle SRT is similar to triangle GFH.

Question

S

G

X

5 cm

F

8 cm

8 cm

Tnot drawn to scale

4 cm

H

R

Which scale factor was used to create triangle SRT?

OAI

D. 2

8. 1.25

E. 3

C. 1.6

Answer 1

To find the scale factor, we can compare the corresponding sides of the two similar triangles.

In triangle SRT, the side SR is 5 cm and the corresponding side GF is 8 cm.

So, the scale factor for SR to GF is 5/8 = 0.625.

Similarly, for side RT to GH, the scale factor is 4/8 = 0.5.

Since the sides SR and RT are corresponding sides in triangle SRT, the scale factor is the same for both sides.

Therefore, the scale factor used to create triangle SRT is 0.625 or 1.6 (as 0.625 is equivalent to 1.6 when rounded to one decimal place).

So, the answer is C. 1.6.