Question
If you want to dilate an isosceles right triangle with a hypotenuse of 18 yards, to create a dilated image with a hypotenuse of 12 yards, what scale factor should you use?(1 point)
Responses
6 yards
6 yards - no response given
23
yard
2 thirds yard - no response given
32
3 halves - incorrect
23
2 thirds - no response given
Responses
6 yards
6 yards - no response given
23
yard
2 thirds yard - no response given
32
3 halves - incorrect
23
2 thirds - no response given
Answers
GPT-4o mini
To find the scale factor for dilating the isosceles right triangle from a hypotenuse of 18 yards to a hypotenuse of 12 yards, you can use the formula for scale factor, which is:
\[
\text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}}
\]
Plugging in the values:
\[
\text{Scale Factor} = \frac{12 \text{ yards}}{18 \text{ yards}} = \frac{2}{3}
\]
So, the scale factor you should use is **\( \frac{2}{3} \)**.
\[
\text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}}
\]
Plugging in the values:
\[
\text{Scale Factor} = \frac{12 \text{ yards}}{18 \text{ yards}} = \frac{2}{3}
\]
So, the scale factor you should use is **\( \frac{2}{3} \)**.