Question

What is the scale factor of ABC XYZ

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Answer 1

Answer: The correct option is (A) 6.

Step-by-step explanation: We are given to find the scale factor of dilation from triangle ABC to triangle XYZ.

From the figure, we note that

The lengths of the sides of triangles ABC and XYZ are as follows :

AB = 5 units, BC = 4 units, AC = 3 units, XY = 30 units, YZ = 24 units and XZ = 18 units.

We know that

`\textup{Scale factor}=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.`

Therefore, for the given triangles, we get

`\textup{Scale factor}=(XY)/(AB)=(30)/(5)=6.`

Thus, the required scale factor of dilation is 6.

Option (A) is CORRECT.

Answer 2

A

Explanation:

To calculate the scale factor k, find the ratio of corresponding sides

`(XZ)/(AC)` =
`(18)/(3)` = 6

`(YZ)/(BC)` =
`(24)/(4)` = 6

Hence the scale factor k = 6 → A