Question

Triangle ABC is shown below with line DE passing through the center:

Triangle ABC is shown with line DE running horizontally through the center of the figure.

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)


be parallel to the original line

shift three units to the right

be perpendicular to the original line

pass through points D and E

Answer 1

D'E' be parallel to the original line

Explanation:

Given

`\triangle ABC`

Line
`DE`

`k = 3` -- scale factor

Required

The relationship between
`DE` and
`D'E'`

When
`\triangle ABC` is dilated by a scale factor of 3,
`\triangle A'B'C'` will be three times as big as
`\triangle ABC`.

Also:

Line
`D'E'` will be three times as long as
`DE`

Since no further transformation is done on
`\triangle ABC` and line
`DE`, then
`D'E'` will be parallel to
`DE`