Randen draws These two triangles with lengths given in centimeters. What factor does she use to create the copy on the right from the original on the left.

2
1/2
1 2/3
1 1/3

1 answer

To determine the factor used to create the copy on the right from the original on the left, we need to compare the lengths of corresponding sides.

Let's analyze each option:

1. If the factor is 2, it means the sides of the right triangle would be twice as long as the corresponding sides on the left triangle.
- Example: If the left triangle has a side length of 3 cm, the corresponding side on the right triangle would be 6 cm.

2. If the factor is 1/2, it means the sides of the right triangle would be half the length of the corresponding sides on the left triangle.
- Example: If the left triangle has a side length of 4 cm, the corresponding side on the right triangle would be 2 cm.

3. If the factor is 1 2/3, it means the sides of the right triangle would be 1 and 2/3 times (or 5/3 times) the length of the corresponding sides on the left triangle.
- Example: If the left triangle has a side length of 5 cm, the corresponding side on the right triangle would be approximately 5 cm * (5/3) ≈ 8.33 cm.

4. If the factor is 1 1/3, it means the sides of the right triangle would be 1 and 1/3 times (or 4/3 times) the length of the corresponding sides on the left triangle.
- Example: If the left triangle has a side length of 6 cm, the corresponding side on the right triangle would be approximately 6 cm * (4/3) ≈ 8 cm.

Based on these comparisons, the factor used to create the copy on the right from the original on the left is 1 1/3 or 4/3.