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?
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?
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.
To determine the scale factor between the original triangle on the left and the copy on the right, we need to compare the corresponding side lengths.
In the original triangle:
The corresponding side lengths are 10 in., 18 in., and 15 in.
In the copy triangle:
The corresponding side lengths are 36 in., 30 in., and 20 in.
To find the scale factor, we need to divide the length of the corresponding sides in the copy triangle by the corresponding sides in the original triangle.
For the first corresponding side:
Scale factor = length in copy triangle / length in original triangle
= 36 in. / 10 in.
= 3.6
For the second corresponding side:
Scale factor = length in copy triangle / length in original triangle
= 30 in. / 18 in.
= 1.67 (rounded to two decimal places)
For the third corresponding side:
Scale factor = length in copy triangle / length in original triangle
= 20 in. / 15 in.
= 1.33 (rounded to two decimal places)
Therefore, the scale factor Randee used to create the copy triangle on the right from the original triangle on the left is approximately 3.6, 1.67, and 1.33 for the sides, respectively.
To determine the scale factor, we need to compare the corresponding side lengths of the two triangles. Let's label the original triangle on the left as Triangle ABC and the copied triangle on the right as Triangle A'B'C'.
First, let's identify the corresponding sides of the two triangles. Based on the given measurements, we can match the sides as follows:
Side AB (original) ≈ Side A'B' (copied)
Side BC (original) ≈ Side B'C' (copied)
Side CA (original) ≈ Side C'A' (copied)
Now, let's calculate the scale factor between the corresponding sides. To do this, we divide the length of the corresponding side of the copied triangle by the length of the corresponding side of the original triangle.
Scale factor = Length of corresponding side of copied triangle / Length of corresponding side of original triangle
Using the given measurements, we have:
Scale factor = (36 in. / 10 in.) ≈ 3.6
Scale factor = (30 in. / 18 in.) ≈ 1.67
Scale factor = (20 in. / 15 in.) ≈ 1.33
Since each side pair has a different scale factor, we need to consider the average scale factor. We can calculate the average by summing up the scale factors and dividing by the number of sides:
Average scale factor = (3.6 + 1.67 + 1.33) / 3
Average scale factor ≈ 2.2
Therefore, the scale factor Randee used to create the copy on the right from the original on the left is approximately 2.2.