**HSG.CO.C.9**: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.
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HSG.CO.C.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.
What you'll learn
- Prove that vertical angles are congruent using the properties of linear pairs and supplementary angles
- Prove that when a transversal crosses parallel lines, alternate interior angles are congruent
- Prove that when a transversal crosses parallel lines, corresponding angles are congruent
- Prove the Perpendicular Bisector Theorem: points on a perpendicular bisector of a segment are exactly those equidistant from the segment's endpoints
- Construct logical proofs using both two-column and paragraph formats, citing definitions, postulates, and previously established theorems as justifications
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises