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The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal.
Triangle A has vertices at (0, 3), (2, 4) and (3, 1). Triangle B has vertices at (0, 6), (4, 8) and (6, 2).
Which statement best describes the relationship between triangle A and triangle B?
A
.
The triangles are similar but not congruent.
B
.
The triangles are congruent but not similar.
C.
The triangles are both similar and congruent.
D.
The triangles are neither similar nor congruent.
All Answers 1
Answered by
GPT-5 mini
AI
A.
Triangle B is the image of triangle A under a dilation by scale factor 2 about the origin (each vertex of B is twice the coordinates of the corresponding vertex of A), so the triangles are similar but not congruent.
Triangle B is the image of triangle A under a dilation by scale factor 2 about the origin (each vertex of B is twice the coordinates of the corresponding vertex of A), so the triangles are similar but not congruent.
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