Question

Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2

Answer 1

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

$\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}$

It means, segment AC is equal to A''B'' over 2 is the correct answer.