Question

the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.
images of two right triangles: left triangle with horizontal side 18 and vertical side 18; right triangle with horizontal side 36 and vertical side 36
answer attempt 2 out of 2
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Explanation:

Step1: Recall scale factor formula

The scale factor from the original (left triangle) to the copy (right triangle) is the ratio of a corresponding side length of the copy to the original.

Step2: Identify corresponding sides

Take the vertical sides: original length is 18, copy length is 36. Or horizontal sides: original is 18, copy is 36.

Step3: Calculate scale factor

Scale factor \( = \frac{\text{Length of copy}}{\text{Length of original}} = \frac{36}{18} = 2\)

Answer:

2