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)

Question

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

Answer 1

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 \( \frac{2}{3} \).