Question

1. image of two triangles: smaller triangle with side 5 and base 4; larger triangle with base 8 and side x scale factor= ______

Explanation:

Step1: Identify corresponding sides

The base of the small triangle is 4, and the base of the large triangle is 8.

Step2: Calculate scale factor

Scale factor is the ratio of corresponding sides. So, scale factor $= \frac{8}{4} = 2$.

Step3: Find the missing side \( x \)

The side of length 5 in the small triangle corresponds to \( x \) in the large triangle. Using the scale factor, \( x = 5 \times 2 = 10 \).

Answer:

Scale Factor = 2, Missing side \( x = 10 \)