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 10 in, 15, in, 18 in, 20 in, 30 in, 36 in.
To find the scale factor, we need to compare the corresponding sides of the original triangle and the copy. Let's denote the original triangle as triangle ABC, and the copy as triangle A'B'C'.
From the given lengths, we can determine the corresponding sides of the triangles:
Original triangle ABC: AB = 10 in, BC = 15 in, AC = 18 in
Copy triangle A'B'C': A'B' = 20 in, B'C' = 30 in, A'C' = 36 in
Now, we can compare the sides of the triangles:
To find the scale factor, we can divide the corresponding side lengths of the copy triangle by the corresponding side lengths of the original triangle:
A'B' / AB = 20 in / 10 in = 2
B'C' / BC = 30 in / 15 in = 2
A'C' / AC = 36 in / 18 in = 2
Since all three ratios are equal to 2, the scale factor is 2.
To determine the scale factor used to create the copy on the right, we need to compare the corresponding side lengths of the original triangle and the copy.
Let's denote the original triangle as Triangle A and the copy as Triangle B.
Given the side lengths of Triangle A as follows:
- 10 in
- 15 in
- 18 in
And the side lengths of Triangle B as follows:
- 20 in
- 30 in
- 36 in
To find the scale factor, we divide the corresponding side lengths of Triangle B by the respective side lengths of Triangle A.
Scale factor for the first pair of side lengths:
- 20 in ÷ 10 in = 2
Scale factor for the second pair of side lengths:
- 30 in ÷ 15 in = 2
Scale factor for the third pair of side lengths:
- 36 in ÷ 18 in = 2
As you can see, the scale factor for all three pairs of corresponding side lengths is 2. Therefore, Randee used a scale factor of 2 to create the copy on the right from the original triangle.
To determine the scale factor Randee uses to create the copy of the triangle on the right, we need to compare the corresponding side lengths of the two triangles.
Let's denote the original triangle as Triangle A and the copy as Triangle B.
To find the scale factor, we divide the corresponding side length of Triangle B by the corresponding side length of Triangle A.
Triangle A: 10 in, 15 in, 18 in
Triangle B: 20 in, 30 in, 36 in
We can start by comparing the first side lengths:
Scale factor for the first side: 20 in ÷ 10 in = 2
Next, we compare the second side lengths:
Scale factor for the second side: 30 in ÷ 15 in = 2
Finally, we compare the third side lengths:
Scale factor for the third side: 36 in ÷ 18 in = 2
Since all the ratios are equal to 2, we can conclude that Randee uses a scale factor of 2 to create the copy on the right from the original triangle.