Question

Question When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why. Responses All of the angles are supplementary so they form 90° angles. All of the angles are supplementary so they form 90° angles. All of the angles are corresponding so they form 90° angles. All of the angles are corresponding so they form 90° angles. They are all right angles because perpendicular lines form 90° angles. They are all right angles because perpendicular lines form 90° angles. They are all right angles because parallel lines form 90° angles. They are all right angles because parallel lines form 90° angles.

Answer 1

When a transversal is perpendicular to two parallel lines, all angles formed are right angles measuring 90°, due to the properties of parallel lines and the definition of perpendicular lines. The correct answer is option: They are all right angles because perpendicular lines form 90° angles.

Step-by-step explanation:

When a transversal is perpendicular to two parallel lines, the reason all the angles formed measure 90° is because of the properties of parallel lines and the definition of perpendicular lines. Perpendicular lines intersect at right angles, which are 90° angles.

Since the transversal is perpendicular to the parallel lines, it will form right angles with both lines at the points of intersection. With both parallel lines being straight and the transversal intersecting them at right angles, all angles formed will be 90° by definition.

In the context of other geometric entities, such as vectors or coordinate systems, when two figures are described as being perpendicular, this also implies that they form a 90° angle between them. Remember, the term orthogonal often is used synonymously with perpendicular in different branches of mathematics and physics. It implies the same thing: a 90° angle.