Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2

Question

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Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2

and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5. Is triangle A'B'C' a dilation of triangle ABC? Explain. Yes, it is an enlargement with a scale factor of 3. Yes, it is an enlargement with a scale factor of Eight-thirds. No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally. No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.

Mathematics

1 answer:

Orlov [11] · Answer 1 · 2022-01-23T03:58:35+03:00

Answer:

C. No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Step-by-step explanation:

Dilation is the process in which the size i.e dimensions of a given figure is either increased or decreased by a scale factor, without changing the shape of the figure.

Given that: PA = 2, PB = 3, A $A^{I}$ = 4, B $B^{I}$ = 5.

So that: P $A^{I}$ = 6, P $B^{I}$ = 8.

Therefore, triangle A'B'C' is not an exact dilation of triangle ABC. So that the correct option is; No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.