15 in.
36 in.
20 in.
18 in.
30 in.
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)
1/2
1 1/2
02
0 1 2/3
To find the scale factor, we can compare the corresponding side lengths of the original triangle and the copy.
Original triangle side lengths: 15 in., 36 in., 20 in.
Copy triangle side lengths: 18 in., 30 in., 20 in.
Let's compare the first pair of side lengths: 15 in. and 18 in.
18 in. is 1.2 times bigger than 15 in.
Now let's compare the second pair of side lengths: 36 in. and 30 in.
30 in. is 0.8333 (rounded to four decimal places) times smaller than 36 in.
Lastly, let's compare the third pair of side lengths: 20 in. and 20 in.
Both side lengths are equal, so the scale factor for this pair of side lengths is 1.
Since the scale factor for the first pair is 1.2 and the scale factor for the second pair is 0.8333, we can average these two scale factors to find the overall scale factor:
(1.2 + 0.8333) / 2 = 1.01665 (rounded to five decimal places)
Therefore, the scale factor Randee used to create the copy on the right from the original on the left is approximately 1.01665 or 1 1/2.