Question

10 in. 15 in. 36 in. 20 in. 18 in. 30 in. 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) 2 1 2/3 1/2 1 1/3

Explanation:

Step1: Identify corresponding sides

Find pairs of corresponding sides (original on left, copy on right). For example, 10 in (original) and 20 in (copy); 15 in and 30 in; 18 in and 36 in.

Step2: Calculate scale factor

Scale factor = \(\frac{\text{Length of copy}}{\text{Length of original}}\). Using 10 and 20: \(\frac{20}{10} = 2\)? Wait, no, wait. Wait 15 and 30: \(\frac{30}{15} = 2\)? Wait 18 and 36: \(\frac{36}{18} = 2\)? Wait no, wait the left triangle has sides 10, 15, 18. The right has 36, 20, 30? Wait maybe I mixed up. Wait original is left: sides 10, 15, 18. Copy is right: 36, 20, 30? Wait no, maybe the corresponding sides are 10 and 20? No, 15 and 30? 18 and 36? Wait 10 (original) and 20 (copy): 20/10=2. 15 and 30: 30/15=2. 18 and 36: 36/18=2. Wait but the options have 2 as an option. Wait but let's check again. Wait maybe I flipped. Wait scale factor from original (left) to copy (right). So copy length / original length. So 20/10=2, 30/15=2, 36/18=2. So scale factor is 2? Wait but the options have 2. Wait the options are 2, \(1\frac{2}{3}\), \(\frac{1}{2}\), \(1\frac{1}{3}\). Wait maybe I mixed up the triangles. Wait left triangle: 10, 15, 18. Right triangle: 36, 20, 30. Wait maybe the corresponding sides are 10 and 20? No, 15 and 30? 18 and 36? Wait 10 (left) and 20 (right): 20/10=2. 15 (left) and 30 (right): 30/15=2. 18 (left) and 36 (right): 36/18=2. So scale factor is 2. Wait but let's check again. Wait maybe the original is right? No, the problem says "create the copy on the right from the original on the left". So original is left, copy is right. So scale factor is copy/original. So 20/10=2, 30/15=2, 36/18=2. So scale factor is 2.

Wait but wait, maybe I made a mistake. Wait the left triangle has sides 10, 15, 18. The right has 36, 20, 30. Wait 10 and 20: 20/10=2. 15 and 30: 30/15=2. 18 and 36: 36/18=2. So yes, scale factor is 2.

Answer:

2 (Option: 2)