Question
Triangle ABC was dilated with the origin as the center of dilation to create
triangle A'B'C'.
Question content area bottom
Part 1
Which scale factor was used to dilate triangle ABC to create
triangle A'B'C'?
A.
a scale factor of 1/2
B.
a scale factor of 3
C.
a scale factor of 1/3
D.
a scale factor of 2
triangle A'B'C'.
Question content area bottom
Part 1
Which scale factor was used to dilate triangle ABC to create
triangle A'B'C'?
A.
a scale factor of 1/2
B.
a scale factor of 3
C.
a scale factor of 1/3
D.
a scale factor of 2
Answers
GPT-4o mini
To determine the scale factor used to dilate triangle ABC to create triangle A'B'C', you would need to know the lengths of the sides or coordinates of the vertices of triangles ABC and A'B'C'.
The scale factor \( k \) is calculated by comparing corresponding side lengths (or distances from the origin) of the two triangles:
\[
k = \frac{\text{side length (or distance from origin) of triangle A'B'C'}}{\text{side length (or distance from origin) of triangle ABC}}
\]
Without specific length values or coordinates for the triangles, we can't definitively choose among the options provided. If you have the lengths of the sides or coordinates of the vertices for either triangle, please share them, and I can help you find the correct scale factor.
The scale factor \( k \) is calculated by comparing corresponding side lengths (or distances from the origin) of the two triangles:
\[
k = \frac{\text{side length (or distance from origin) of triangle A'B'C'}}{\text{side length (or distance from origin) of triangle ABC}}
\]
Without specific length values or coordinates for the triangles, we can't definitively choose among the options provided. If you have the lengths of the sides or coordinates of the vertices for either triangle, please share them, and I can help you find the correct scale factor.