Question

Consider line segment UV.Which statements are true?Select ALL that apply.If line segment UV is translated 5 units right, the new line segment lies on the same line as line segment UV.If line segment cap u cap v is translated 5 units right, the new line segment lies on the same line as line segmentIf line segment UV is translated 4 units down, the new line segment is parallel to line segment UV.If line segment cap u cap v is translated 4 units down, the new line segment is parallel to line segment cap u cap v.If line segment UV is rotated 270° clockwise about the origin, the new line segment is parallel to line segment UV.If line segment cap u cap v is rotated clockwise about the origin, the new line segment is parallel to line segmentIf line segment UV is rotated 270° counterclockwise about the origin, the new line segment is perpendicular to line segment UV.If line segment cap u cap v is rotated counterclockwise about the origin, the new line segment is perpendicular to line segment cap u cap v.If line segment UV is rotated 180° clockwise about the origin, the new line segment is perpendicular to line segment UV.If line segment cap u cap v is rotated clockwise about the origin, the new line segment is perpendicular to line segment cap u cap v.

Answer 1

To find the statements are true.

UV is the given line segment.

Option 1:

If line segment UV is translated 5 units right, the new line segment lies on the same line as line segment UV

The above statement is not true, since it is translated 5 units right, the graph is shifted.

Option 2:

If line segment UV is translated 4 units down, the new line segment is parallel to line segment UV

The above statement is true.

Option 3:

If line segment UV is rotation 270° clockwise about the origin, the new line segment is parallel to line segment UV.

The above statement is not true, since it is rotated 270° clockwise about the origin, the new line segment is perpendicular to line segment UV.

Option 4: