Question

define and give an example of: vertical angles: transversal:

Explanation:

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure. For example, if two lines \(AB\) and \(CD\) intersect at point \(O\), then \(\angle AOC\) and \(\angle BOD\) are vertical angles.

A transversal is a line that intersects two or more other lines. For example, in a figure with two parallel lines \(l_1\) and \(l_2\), a line \(t\) that cuts across both \(l_1\) and \(l_2\) is a transversal.

Answer:

Vertical Angles: Opposite angles formed by intersecting lines, e.g., \(\angle AOC\) and \(\angle BOD\) when \(AB\) and \(CD\) intersect at \(O\).

Transversal: A line intersecting two or more lines, e.g., a line cutting two parallel lines.