Question

If square LMNO is dilated by a scale factor of two about the center of the square to create square L'M'N'O', dilated line P'Q' will (5 points) Question 6 options: 1) be parallel to line PQ and pass through point N 2) contain the points P and Q 3) be perpendicular to line PQ and pass through point L 4) shift two units to the right

Answer 1

Line PQ is vertical thru the middle of the original square. The new square is dilated with a scale factor of 2 at the center, so the dilated line P'Q' would also be vertical running through the middle, so it would contain the points P and Q.

The answer is 2) contain the points P and Q

Answer 2

Solution:

As given Square L M NO is dilated by  a scale factor of two about the center of the square to create square L'M'N'O'.

Original line of Dilation = Along P Q

New Dilated line = P'Q'

As scale factor > 1

1. Image Size > Pre image size

2. The two images will be similar.

3. Length of Dilated Line P' Q' = 2 × Length of PQ

As you can see from the diagram drawn below, Dilated line P'Q'  will contain the point P and Q.

All four points P,Q,Q',P' are collinear , lie in the same line.

Option (2) dilated line P'Q' will contain the points P and Q is true.