lesson
Perpendicular Lines and Angle Bisector Theorems
Apply the definition of perpendicularity, linear pairs of congruent angles, and angle bisector theorems in geometric problem-solving.
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Angle Relationships and Parallel Line Proofs
9 lessons
Goal
Calculate unknown angle measures and formally prove parallel line properties and their converses.
9 lessons
0 of 9 done
- Supplementary, Complementary, and Adjacent AnglesUp next
- Finding Unknown Vertically Opposite AnglesNot started yet
- Perpendicular Lines and Angle Bisector TheoremsYou are here
- Parallel Lines and Transversals: Alternate Interior and Exterior AnglesNot started yet
- Parallel Lines and Transversals: Corresponding AnglesNot started yet
- Parallel Lines and Transversals: Same-Side Interior AnglesNot started yet
- Using Transversal Angle Relationships to Find Missing AnglesNot started yet
- Proving Angle Relationships in Parallel LinesNot started yet
- Proving Lines Are Parallel Using Angle RelationshipsNot started yet
Learning standards covered
OGM.9.GEO.1Open Global Math Standards 2026™ · 8th GradeUnderstand and apply geometric axiomatic facts and definitions (points, lines, planes, segments, angles, perpendiculars, transversals); solve problems using angle relationships (supplementary, complementary, vertically opposite, alternate interior, corresponding, interior consecutive angles).
OGM.9.GEO.2Open Global Math Standards 2026™ · 8th GradeEstablish and prove triangle properties (interior angle sum theorem = 180°, exterior angle theorem, triangle inequality, medians, altitudes, centroid, perpendicular bisector, angle bisector) and classify isosceles, equilateral, and right triangles.