Question

In the figure below, AX'Y'Z' is a dilation of AXYZ. Find the scale factor of the dilation, andspirit as an enlargement or a reduction. What is the scale factor?What is the Classify?

Answer 1

The scale factor can be obtained by determining the ratio of the length of the sides of the old and new figures.

In other words, it can be obtained by stating that:

`\text{scale factor=}\frac{lengthofsideoftriangleX^IY^IZ^I}{\text{length of side of triangle XYZ}}\text{ }`

Specifically, we can say that:

`\text{scale factor=}(X^IY^1)/(XY)=(X^IZ^I)/(XZ)=(Y^IZ^I)/(YZ)`

Now, if each block (or cell) on the graph represents 1 units, we have that:

X'Y' = 10 units and XY = 5 units

Therefore: