Question

segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0). It was dilated at a scale factor of one half from center (2, 0). Which statement describes the pre-image?

segment AB is located at A (−2, 0) and B (2, 0) and is half the length of segment A prime B prime.
segment AB is located at A (−2, 0) and B (2, 0) and is twice the length of segment A prime B prime.
segment AB is located at A (−1, 0) and B (1, 0) and is half the length of segment A prime B prime.
segment AB is located at A (−1, 0) and B (1, 0) and is twice the length of segment A prime B prime.

Answer 1

Answer:

the answer 2

Step-by-step explanation:

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Answer 2

Segment AB is located at A (−1, 0) and B (1, 0) and is twice the length of segment A prime B prime.

Given that,

Segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0).

It was dilated at a scale factor of one-half from the center (2, 0).

We have to determine,

Which statement describes the pre-image?

According to the question,

Segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0).

The coordinates are given as:

A' (0, 0) and B' (2, 0).

Since,

Center of dilation = B = (2,0)

Here, AB seems to be the dilated image of AB by something like a factor of two. It follows that M must have been at (0,0).

It's one-half units left from the center of dilated.

Then,

$A' = \dfrac{1}{2}\times 2\\\\A'= 1$

Since the dilation is (2, 0),

$A= (2-1, \ 0)\\\\A= (1, 0)$

Hence, Segment AB is located at A (−1, 0) and B (1, 0) and is twice the length of segment A prime B prime.

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