Question

1. choose the best answer.

which is the best definition for vertical angles?
○ two nonadjacent angles formed by two intersecting lines
○ two angles that share a common vertex and one common side but have no common interior points
○ two angles in which the sum of their measures equals 180°
○ pair of adjacent angles whose noncommon sides are two opposite rays that form a straight line

1. matching.

the relationships between angle pairs are based on their dropdown or on their dropdown in relation to each other.

1. drag and drop the words to the sentences.

any two angles are blank if the sum of their measures is 90° or blank if the sum of their measures is 180°.
choices
complementary
vertical angles
supplementary
adjacent angles
right angles

Explanation:

Question 3

• Analyze each option:
• Option 1: Vertical angles are formed when two lines intersect, and they are nonadjacent (opposite each other). This matches the definition of vertical angles.
• Option 2: This defines adjacent angles (sharing a vertex and side, no common interior points).
• Option 3: Angles with a sum of \(180^\circ\) are supplementary, not vertical angles.
• Option 4: This defines a linear pair (adjacent angles forming a straight line), not vertical angles.

The relationships between angle pairs are based on their measures (like whether they are complementary, supplementary) or on their positions (like adjacent, vertical) in relation to each other.

• Complementary angles are defined as two angles whose sum of measures is \(90^\circ\).
• Supplementary angles are defined as two angles whose sum of measures is \(180^\circ\).

Answer:

A. two nonadjacent angles formed by two intersecting lines

Question 4