Skip to content

Bisect Angle Steps

Run Fullscreen

About This Diagram

This reference diagram shows the four-panel construction of an angle bisector. The bisector ray BD divides angle ABC into two congruent angles.

The Four Panels

Panel Step Action
1 Given Angle ∠ABC to bisect (≈70°)
2 Step 1 Arc from vertex B, mark P and Q
3 Steps 2-3 Arcs from P and Q intersect at D
4 Result Ray BD bisects ∠ABC

Key Properties

  • ∠ABD ≅ ∠DBC: The angle is divided into two equal parts
  • Equal arcs from P and Q: Same compass radius ensures equal distances
  • Point D determines direction: The intersection point defines the bisector

How to Use

  1. Hover over each panel to highlight and examine
  2. Follow the arc colors - each step has a distinct color
  3. Notice the congruence marks in the final result

Learning Objectives

  • Construct an angle bisector using compass and straightedge
  • Understand how the construction creates two congruent angles
  • Apply the technique to divide any angle in half

Bloom's Taxonomy Level

Applying and Understanding - Construction technique application.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/bisect-angle-steps/main.html"
        height="382px"
        width="100%"
        scrolling="no"></iframe>