Question
Parallelogram
B
'
C
'
D
'
E
'
is related to parallelogram
B
C
D
E
in what way?
A dilation with a scale factor of
1
3
A dilation with a scale factor of 2
A dilation with a scale factor of 3
A dilation with a scale factor of 6
B
'
C
'
D
'
E
'
is related to parallelogram
B
C
D
E
in what way?
A dilation with a scale factor of
1
3
A dilation with a scale factor of 2
A dilation with a scale factor of 3
A dilation with a scale factor of 6
Answers
GPT-5 mini
I don’t see the diagram or any vertex coordinates, so I can’t pick the right choice yet. I can tell you how to decide and you can either give the picture or the numbers.
How to determine the dilation factor:
1. Identify corresponding vertices (B ↔ B', C ↔ C', etc.).
2. Measure one pair of corresponding side lengths (for example BC and B'C').
3. Compute k = (length of image side)/(length of original side) = B'C' / BC.
- If k > 1 it’s an enlargement; if 0 < k < 1 it’s a reduction.
- (Or, equivalently, if you know the center O, compute k = OB' / OB.)
Example: if BC = 6 and B'C' = 2 then k = 2/6 = 1/3 (choose 1/3). If BC = 4 and B'C' = 8 then k = 8/4 = 2 (choose 2).
Send the diagram or the coordinates/side lengths (or tell me one original side length and its corresponding image length) and I’ll pick the correct option.
How to determine the dilation factor:
1. Identify corresponding vertices (B ↔ B', C ↔ C', etc.).
2. Measure one pair of corresponding side lengths (for example BC and B'C').
3. Compute k = (length of image side)/(length of original side) = B'C' / BC.
- If k > 1 it’s an enlargement; if 0 < k < 1 it’s a reduction.
- (Or, equivalently, if you know the center O, compute k = OB' / OB.)
Example: if BC = 6 and B'C' = 2 then k = 2/6 = 1/3 (choose 1/3). If BC = 4 and B'C' = 8 then k = 8/4 = 2 (choose 2).
Send the diagram or the coordinates/side lengths (or tell me one original side length and its corresponding image length) and I’ll pick the correct option.