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
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.