Left triangle
10 in.
15 in.
18 in.
Right Triangle
20 in.
36 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)
A. 1/2
B. 2
C. 1 1/3
D. 1 2/3
To determine the scale factor, we can compare the corresponding sides of the two triangles. The corresponding sides are:
Left triangle:
10 in.
15 in.
18 in.
Right triangle:
20 in.
36 in.
30 in.
To find the scale factor, we can compare the length of the corresponding sides.
First, let's compare the shortest side of the left triangle (10 in) to the shortest side of the right triangle (20 in).
10 in * (scale factor) = 20 in
Divide both sides of the equation by 10 in to solve for the scale factor:
(scale factor) = 20 in / 10 in = 2
Therefore, the scale factor used to create the copy on the right from the original on the left is 2.
Answer: B. 2
To find the scale factor used to create the copy of the triangle on the right from the original on the left, we need to compare the corresponding sides of the two triangles.
In the left triangle, the corresponding sides are:
- The side opposite the 10 in. angle is 15 in.
- The side opposite the 15 in. angle is 18 in.
- The side opposite the 18 in. angle is 10 in.
In the right triangle, the corresponding sides are:
- The side opposite the 20 in. angle is 36 in.
- The side opposite the 36 in. angle is 30 in.
- The side opposite the 30 in. angle is 20 in.
To find the scale factor, we divide the lengths of the corresponding sides of the right triangle by the lengths of the corresponding sides of the left triangle.
For the side opposite the 20 in. angle:
Scale factor = 36 in. / 15 in. = 2.4
For the side opposite the 36 in. angle:
Scale factor = 30 in. / 18 in. = 1.67 (approximately)
For the side opposite the 30 in. angle:
Scale factor = 20 in. / 10 in. = 2
Since the scale factors are not all the same, we need to find the average of the scale factors. Adding the three scale factors and dividing by 3 gives us:
Average of scale factors = (2.4 + 1.67 + 2) / 3 = 1.69 (approximately)
Therefore, the scale factor used to create the copy of the triangle on the right from the original on the left is approximately 1.69.
The correct answer is:
D. 1 2/3
To determine the scale factor, we need to compare corresponding sides of the two triangles.
The corresponding sides are:
Left Triangle: 10 in., 15 in., 18 in.
Right Triangle: 20 in., 36 in., 30 in.
To find the scale factor, we divide the length of a corresponding side of the right triangle by the length of the corresponding side of the left triangle.
For the first corresponding side:
Scale factor = (20 in.)/(10 in.) = 2
For the second corresponding side:
Scale factor = (36 in.)/(15 in.) = 2.4
For the third corresponding side:
Scale factor = (30 in.)/(18 in.) = 1.67
Since the scale factors are not equal for all corresponding sides, the overall scale factor will be the average of the individual scale factors.
Average scale factor = (2 + 2.4 + 1.67)/3 = 2.02
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is approximately 2.
The correct answer is:
B. 2