To find the scale factor, we need to compare the corresponding side lengths of the two triangles.
For the first pair of side lengths:
Original triangle left side length = 10 in.
Copy triangle right side length = 18 in.
The scale factor for this pair of side lengths is 18/10 = 1.8.
For the second pair of side lengths:
Original triangle left side length = 15 in.
Copy triangle right side length = 36 in.
The scale factor for this pair of side lengths is 36/15 = 2.4.
For the third pair of side lengths:
Original triangle left side length = 20 in.
Copy triangle right side length = 30 in.
The scale factor for this pair of side lengths is 30/20 = 1.5.
Since we have three different scale factors, we can take the average to find the overall scale factor.
Average scale factor = (1.8 + 2.4 + 1.5) / 3 = 1.9.
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is 1.9.
10 in.
18 in.
15 in.
36 in.
30 in.
20 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?
3 answers
10 in.
18 in.
15 in.
36 in.
30 in.
20 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?
18 in.
15 in.
36 in.
30 in.
20 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?
To find the scale factor, we need to compare the corresponding side lengths of the two triangles.
For the first pair of side lengths:
Original triangle left side length = 10 in. = 25.4 cm
Copy triangle right side length = 18 in. = 45.72 cm
The scale factor for this pair of side lengths is 45.72/25.4 = 1.8.
For the second pair of side lengths:
Original triangle left side length = 15 in. = 38.1 cm
Copy triangle right side length = 36 in. = 91.44 cm
The scale factor for this pair of side lengths is 91.44/38.1 = 2.4.
For the third pair of side lengths:
Original triangle left side length = 20 in. = 50.8 cm
Copy triangle right side length = 30 in. = 76.2 cm
The scale factor for this pair of side lengths is 76.2/50.8 = 1.5.
Since we have three different scale factors, we can take the average to find the overall scale factor.
Average scale factor = (1.8 + 2.4 + 1.5) / 3 = 1.9.
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is approximately 1.9.
For the first pair of side lengths:
Original triangle left side length = 10 in. = 25.4 cm
Copy triangle right side length = 18 in. = 45.72 cm
The scale factor for this pair of side lengths is 45.72/25.4 = 1.8.
For the second pair of side lengths:
Original triangle left side length = 15 in. = 38.1 cm
Copy triangle right side length = 36 in. = 91.44 cm
The scale factor for this pair of side lengths is 91.44/38.1 = 2.4.
For the third pair of side lengths:
Original triangle left side length = 20 in. = 50.8 cm
Copy triangle right side length = 30 in. = 76.2 cm
The scale factor for this pair of side lengths is 76.2/50.8 = 1.5.
Since we have three different scale factors, we can take the average to find the overall scale factor.
Average scale factor = (1.8 + 2.4 + 1.5) / 3 = 1.9.
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is approximately 1.9.