Randy draws these two triangles with links given in centimeters. What scale factor does she used to create the copy on the right from the original on the left?
To determine the scale factor, we need to compare the corresponding sides of the two triangles. Let's select a side from the original triangle on the left and its corresponding side on the copy on the right.
Let's choose the side that has a length of 4 centimeters on the original triangle. Looking at the copy, we can see that the corresponding side has a length of 8 centimeters.
To find the scale factor, we divide the length of the corresponding side on the copy (8 centimeters) by the length of the corresponding side on the original (4 centimeters):
Scale factor = length of side on copy / length of side on original
Scale factor = 8 cm / 4 cm
Scale factor = 2
Therefore, Randy used a scale factor of 2 to create the copy on the right from the original on the left.
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 triangles.
Let's denote the scale factor as "k."
Looking at the two triangles, we can compare the lengths of the corresponding sides. Suppose the length of a particular side in the original triangle (on the left) is "x" centimeters, and the corresponding side in the copied triangle (on the right) is "y" centimeters.
By observing the lengths, we can determine that "y" is equal to "k" times "x."
So, the scale factor (k) can be calculated by dividing the length of the corresponding side in the copied triangle by the length of the corresponding side in the original triangle.
k = y / x
This scale factor should be the same for all corresponding sides of the triangles.
To determine the scale factor used to create the copy on the right, we need to compare the corresponding lengths of the sides of both triangles. Let's call the original triangle on the left Triangle A, and the copy on the right Triangle B.
To find the scale factor, we need to compare the lengths of corresponding sides. Let's examine the given link measurements for each side of Triangle A and Triangle B:
Triangle A:
- Side A1: X cm
- Side A2: Y cm
- Side A3: Z cm
Triangle B:
- Side B1: P cm
- Side B2: Q cm
- Side B3: R cm
To find the scale factor, we can set up ratios comparing each pair of corresponding sides of Triangle A and Triangle B:
Scale factor = (P cm / X cm) = (Q cm / Y cm) = (R cm / Z cm)
By comparing the lengths of the corresponding sides, we can calculate the scale factor used to create the copy on the right from the original triangle on the left.