Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?

coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3

segment AB over segment A double prime B double prime equals one half
segment C double prime A double prime over segment CA equals one half
segment AB equals zero point two segment A double prime B double prime
segment C double prime A double prime equals zero point two segment CA

Given figure ABC and its dilated transformation A"B"C", since the dilation factor is 2, we can say that segment AB over segment A"B" equals one half.

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

If the scale factor is more than 1, then the image stretches.

If the scale factor is between 0 and 1, then the image shrinks.

If the scale factor is 1, then the original image and the image produced are congruent.

Since, the scale of factor for the given dilation is 2, the image stretches. Or we may say that, the length of the corresponding sides on the new figure are double the given figure.

This implies that, segment AB over segment A"B" equals one half.

Learn more about dilation here

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