Given the pre-image abcd and the image after a dilation, a'b'c'd', what is true about the polygons? check all that apply. the length ab is 2. the length a'b' is 3. the image is smaller than the pre-image. the scale factor is . the scale factor is .

You should check the following:

The length of AB is 2

The length of A'B' is 3

The scale factor is

- To find the length of AB, we will use the distance formula:

From the picture we can infer that and , so let's replace the values.

The length of AB is 2, so you should check the first answer

- To find the length of A'B', we will use the distance formula one more time:

From the picture we can infer that and , so let's replace the values.

Since the length of A'B' is 3, you should also check the second answer as well.

- In a transformation (in this case a dilation) the pre-image is the original shape and the image is the shape after the transformation.

Since the image is bigger than the pre-image, the third answer is false.

- Let be the scale factor

We know that the length of AB is 2 and we need to multiply that length by the scale factor to get length of A'B' i.e 3, so:

Since the scale factor is , you should check the fourth answer as well.

- We already prove that the scale factor is , so the fifth answer is false.

Transformation involves changing the size and position of a shape.

The true options are:

From the graph, we have the following observations:

(a)

(b)

The pre-image is ABCD, and it is smaller.

So, option (c) is false

The scale factor (k) from ABCD to A'B'C'D' is:

So, we have:

So, (d) is also true

Read more about dilations at:

link

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step-by-step explanation:

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step-by-step explanation: