Question

Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point T lies on `bar(YZ)`, what can be said about `bar(Y'Z')` ?

A.
`bar(Y'Z')` passes through point T but has a different slope than `bar(YZ)`.

B.
`bar(Y'Z')` passes through point T and has the same slope as `bar(YZ)` .

C.
`bar(Y'Z')` does not pass through point T but has the same slope as `bar(YZ)`.

D.
`bar(Y'Z')` does not pass through point T and has a different slope than `bar(YZ)`.

Answer 1

The correct answer is choice B. Good luck :)

Step-by-step explanation:

Answer 2

B.

`bar(Y'Z')` passes through point T and has the same slope as `bar(YZ)`

Step-by-step explanation:

Let us understand what is dilation first.

A dilation is one type of transformation of a two-dimensional geometric figure that transforms a shape into an image, which is similar in form to the initial object but varies in size. The scale factor determines the degree or amount to which the object is increased or decreased. The origin of a coordinate plane with the points x = 0 and y = 0 is the most common center of dilation in geometry, but here we are given a point T on YZ

Since dilation does not change the shape but gives a similar image it follows that the centre of dilation T will still remain on the same bar Y'Z' enlarged part of YZ. Also slope would remain the same as the transformed figure would be similar to the original.