Question

Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?

Answer 1

Answer:

$\frac{AB}{A''B''} = \frac{1}{4}$

Step-by-step explanation:

Given the information:

• A'B'C' reflection over x = −1
• dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= $\frac{AB}{A''B''} = \frac{1}{4}$

We choose C.

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