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Instructor Overview

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.

Key Concepts

  • 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.