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Grade 7
Shape and Space
15. Perform geometric constructions
15.3 Angle bisectors
Angle Bisectors
An angle bisector is a ray that divides an angle into two equal smaller angles.
What You'll Learn
An angle bisector is a ray that divides an angle into two equal smaller angles.
Every point on the bisector is equidistant from the two sides of the angle.
You can construct one with a compass and straightedge from the vertex.
The angle bisector theorem: it divides the opposite side in proportion to the other two sides.
The three angle bisectors of a triangle meet at the incenter.
What You'll Practice
1
Measuring angles with a protractor and recording degree values
2
Dividing angle measurements in half and marking the halfway point
3
Drawing angle bisectors using a ruler and protractor
4
Bisecting angles using compass and straightedge construction
Why This Matters
Angle bisectors are essential in geometry and appear throughout architecture, engineering, and design. You'll use this skill in construction projects, creating symmetrical designs, and solving advanced geometry problems involving triangles and polygons.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Angle Measurement
Protractor Use
Bisectors
Compass Construction
Geometric Drawing
Division
Symmetry
NB Curriculum Aligned