Students learn about four types of angles: adjacent, vertical, supplementary, and complementary. They explore the relationships between these types of angles by folding paper, measuring angles with a protractor, and exploring interactive sketches.
- Adjacent angles are two angles that share a common vertex and a common side, but do not overlap. Angles 1 and 2 are adjacent angles.
- Supplementary angles are two angles whose measures have a sum of 180°. Angles 3 and 4 are supplementary angles.
- Complementary angles are two angles whose measures have a sum of 90°. Angles 5 and 6 are complementary angles.
- Vertical angles are the opposite angles formed by the intersection of two lines. Vertical angles are congruent. Angles 1 and 2 are vertical angles. Angles 3 and 4 are also vertical angles.
Goals and Learning Objectives
- Measure angles with a protractor and estimate angle measures as greater than or less than 90°.
- Understand the definition of vertical, adjacent, supplementary, and complementary angles.
- Explore the relationships between these types of angles.