Question

Which statement is correct? A.) WX is parallel to XY B.) XY is a transversal of WX and YZ. C.) WX and YZ intersect at a 90 angle D.) WX is perpendicular to YZ

Answer 1

Answer: The correct statement is D.) WX is perpendicular to YZ.

Explanation: A transversal is a line that intersects two or more lines. In this case, XY is the transversal of WX and YZ. When two lines intersect at a 90-degree angle, they are said to be perpendicular. Therefore, WX and YZ intersect at a 90-degree angle.

When two lines are perpendicular, they form four right angles. Therefore, if WX is perpendicular to YZ, then WX and YZ are not parallel.

Hope this helps, and have a great day!

Answer 2

Based on the statement provided, the correct option is D.) WX is perpendicular to YZ.

Parallel lines are lines that are always the same distance apart and never intersect. Transversal lines are lines that intersect two or more other lines at different points. Therefore, option B is incorrect because a line cannot be both a transversal and parallel to another line at the same time.

Option C is also incorrect because if two lines intersect at a 90-degree angle, they are perpendicular, not parallel.

Therefore, the only option left is D, which states that WX is perpendicular to YZ, meaning they intersect at a 90-degree angle.