Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
10 in. 18 in. 15 in. 36 in. 20 in. 30 in.
1 1/3
1 2/3
1/2
02
The scale factor can be found by comparing the lengths of corresponding sides of the two triangles.
Comparing the corresponding sides of the two triangles:
Left triangle: 10 in., 18 in., 15 in.
Right triangle: 30 in., 36 in., 20 in.
To find the scale factor, we can divide the lengths of the corresponding sides of the right triangle by the lengths of the corresponding sides of the left triangle:
30 in. / 10 in. = 3
36 in. / 18 in. = 2
20 in. / 15 in. = 4/3
The scale factor is the average of these ratios:
(3 + 2 + 4/3) / 3 = (9/3 + 6/3 + 4/3) / 3 = 19/9 ≈ 2.11111 ≈ 2
Therefore, the scale factor is 2.