Question

1. if the scale factor is one, the new figure will bea) smallerb) largerc) a scaled) same size7.what is the scale factor?a) you are multiplying each side by 3b) you are multiplying each side by 2c) you are multiplying each side by 58.what is the scale factor used to go from small fry to large fry?a) you are multiplying each side by 1b) you are multiplying each side by 2c) you are multiplying each side by 39.what is the scale factor? be careful you will end up with a ratio this time.a) $8:12=2:3$b) $10:12=5:6$c) $9:8$

Explanation:

Step1: Analyze scale factor = 1

When scale factor $k=1$, new dimension = $1\times$ original dimension.

Step2: Verify triangle scale factor

Take corresponding sides: $\frac{20}{10}=2$, $\frac{14}{7}=2$, $\frac{12}{6}=2$.

Step3: Calculate fry scale factor

Scale factor = $\frac{\text{large fry size}}{\text{small fry size}}=\frac{12}{4}=3$.

Step4: Find triangle ratio scale factor

Take corresponding sides: $\frac{12}{8}=\frac{3}{2}$, $\frac{15}{10}=\frac{3}{2}$, $\frac{9}{6}=\frac{3}{2}$, which matches $8:12=2:3$ (ratio of original to new).

Answer:

1. d) same size
2. b) You are multiplying each side by 2
3. c) You are multiplying each side by 3
4. a) $8:12 = 2:3$