Question

XYZ is a dilation of ABC by a scale factor of 5. Which of the followingproportions verifies that ABC and XYZ are similar?eAсNA.ABXZАС些 --АВXYCABAC=X2D.ACYZBCX2

Answer 1

If the triangles are similar, then the 3 pairs of corresponding sides should have the same proportion.

In this case, the corresponding sides are:

- AB and XY

- BC and YZ (the largest sides)

- AC and XZ (the shortes sides)

Then, if they are similar we have:

$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

From the options, the only option that match with our previous equality of proportions is:

$\frac{AB}{XY}=\frac{AC}{XZ}$

Answer: AB/XY = AC/XZ [Option B]