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Vertical Angles at Intersection

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About This MicroSim

This static diagram illustrates how vertical angles are formed when two lines intersect. The four angles are labeled and color-coded to show the two pairs of vertical angles, demonstrating that vertical angles are always congruent.

Key Concepts

  • Two intersecting lines create four angles at the point of intersection
  • Vertical angles are the pairs of opposite angles (∠1 & ∠3, ∠2 & ∠4)
  • Vertical angles are always congruent (equal in measure)
  • Adjacent angles at an intersection are always supplementary (sum to 180°)

Lesson Plan

Grade Level: 9-12 Duration: 5-10 minutes Prerequisite: Understanding of angles and angle measurement

Activities

  1. Identify which pairs of angles are vertical angles
  2. Verify that vertical angle pairs have equal measures
  3. Verify that adjacent angle pairs sum to 180°

Embed Code

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