10 in.
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 two triangles.
The corresponding side lengths from the left triangle to the right one are:
10 in. to 20 in. (doubled)
15 in. to 30 in. (doubled)
36 in. to 18 in. (halved)
So, the scale factor is 2.
Hence, the correct answer is 2.
To determine the scale factor used to create the copy on the right from the original on the left, we need to compare the corresponding side lengths of the two triangles.
Let's label the original triangle's side lengths as A, B, and C, and the corresponding side lengths of the copy on the right as A', B', and C' respectively.
Original triangle side lengths:
A = 10 inches
B = 15 inches
C = 36 inches
Copy triangle side lengths:
A' = 20 inches
B' = 18 inches
C' = 30 inches
Now, let's compare the corresponding side lengths:
Scale factor for side A' compared to A:
A' / A = 20 / 10 = 2
Scale factor for side B' compared to B:
B' / B = 18 / 15 = 6/5 = 1 1/5
Scale factor for side C' compared to C:
C' / C = 30 / 36 = 5/6 = 5/6
Since the scale factor should be the same for all corresponding side lengths, we need to find the greatest common factor (GCF) of the scale factors calculated above.
The GCF of 2, 1 1/5 (or 6/5), and 5/6 is 1/2.
So, the scale factor Randee used to create the copy on the right from the original on the left is 1/2.
Therefore, the correct answer is 1/2
To determine the scale factor, we need to compare the corresponding side lengths of the two triangles.
Original triangle:
Side A: 10 in.
Side B: 15 in.
Side C: 36 in.
Copy triangle:
Side A: 20 in.
Side B: 18 in.
Side C: 30 in.
To find the scale factor, we can compare the ratios of the corresponding side lengths.
For side A:
Ratio = (Length of side A in the copy triangle) / (Length of side A in the original triangle)
Ratio = 20 in. / 10 in.
Simplifying the ratio:
Ratio = 2
For side B:
Ratio = (Length of side B in the copy triangle) / (Length of side B in the original triangle)
Ratio = 18 in. / 15 in.
Simplifying the ratio:
Ratio = 6/5
Since we want the scale factor as a single number, we can take the average of the two ratios:
Average ratio = (2 + 6/5) / 2
Simplifying the average ratio:
Average ratio = 3/2
Therefore, the scale factor used by Randee to create the copy triangle is 1 1/2 or 1.5