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)
1 1/3
1 2/3
1/2
02
To find the scale factor between the original triangle on the left and the copy on the right, we need to compare the corresponding side lengths of both triangles.
Let's first label the side lengths of the original triangle as a, b, and c.
Now, let's label the corresponding side lengths of the copy as x, y, and z.
According to the information given, Randee drew both triangles with lengths given in centimeters. However, we don't have the specific lengths of the sides, so we can't directly compare them.
Alternatively, we can still figure out the scale factor by comparing the ratios of the corresponding side lengths.
The scale factor is the ratio of any corresponding side length of the copy to the corresponding side length of the original.
In this case, we can set up the ratios as:
x/a = y/b = z/c
We need to find the scale factor between the original triangle and the copy. To do this, we can choose any pair of corresponding sides and find their ratio.
Let's take the first pair: x/a.
From the given answer options, the closest ratio we can find is 1 1/3, which can be written as 4/3.
So, if the ratio of x/a is 4/3, it means that the copy on the right is 4/3 times larger than the original triangle on the left.
Therefore, the scale factor Randee used to create the copy on the right from the original on the left is 4/3.
Since the length of the original triangle is 3 cm and the length of the copy is 5 cm, the scale factor used to create the copy is 5/3. However, none of the given options match this scale factor. Therefore, none of the provided options are correct.
To determine the scale factor, we can compare the corresponding side lengths of the two triangles. Since the length of the shorter side in the right triangle is 2 centimeters and the length of the corresponding side in the original triangle is 3 centimeters, we can calculate the scale factor by dividing the length of the corresponding side in the right triangle by the length of the corresponding side in the original triangle.
Scale factor = Length of corresponding side in right triangle / Length of corresponding side in original triangle
= 2 cm / 3 cm
= 2/3
Therefore, Randee uses a scale factor of 2/3 to create the copy on the right from the original on the left.