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15 points!!!
Two right triangles are shown below.
Which statement is true?
There is a dilation centered at the origin with scale factor 2 transforming triangle I into triangle III.
There is a dilation centered at (-2,0) with scale factor 2 transforming triangle I into triangle III.
There is a dilation centered at a point off of the x-axis transforming triangle I into triangle III.
There is no dilation transforming triangle I into triangle III.

15 points Two right triangles are shown below Which statement is true There is a dilation centered at the origin with scale factor 2 transforming triangle I int class=

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Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

[tex]\frac{1}{1}\neq \frac{1}{2}[/tex]

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

Answer:

There is no dilation transforming triangle I into triangle II.

Step-by-step explanation:

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