Congruence

Progress
Transformations & congruence
Triangle congruence
Theorems concerning triangle properties
Working with triangles
Theorems concerning quadrilateral properties
Proofs of general theorems that use triangle congruence
Constructing bisectors of lines & angles
Unit test
10 questions
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Lessons
Transformations & congruenceTriangle congruenceTheorems concerning triangle propertiesWorking with trianglesTheorems concerning quadrilateral propertiesProofs of general theorems that use triangle congruenceConstructing bisectors of lines & anglesUnit test
Practice
Unit test
Transformations & congruence
Learn
Congruent shapes & transformations
Non-congruent shapes & transformations
Practice
Congruence & transformations
4 questions
Practice
Triangle congruence
Learn
Congruent triangles & the SSS postulate/criterion
Triangle congruence postulates/criteria
Why SSA isn't a congruence postulate/criterion
Determining congruent triangles
Triangle congruence review
Practice
Determine congruent triangles
7 questions
Practice
Theorems concerning triangle properties
Learn
Angles in a triangle sum to 180° proof
Proofs concerning isosceles triangles
Proofs concerning equilateral triangles
Working with triangles
Learn
Corresponding angles in congruent triangles
Isosceles & equilateral triangles problems
Finding angles in isosceles triangles
Finding angles in isosceles triangles (example 2)
Practice
Find angles in congruent triangles
4 questions
Practice
Find angles in isosceles triangles
4 questions
Practice
Theorems concerning quadrilateral properties
Learn
Proof: Opposite sides of a parallelogram
Proof: Diagonals of a parallelogram
Proof: Opposite angles of a parallelogram
Proof: The diagonals of a kite are perpendicular
Proof: Rhombus diagonals are perpendicular bisectors
Proof: Rhombus area
Proofs of general theorems that use triangle congruence
Learn
Geometry proof problem: midpoint
Geometry proof problem: congruent segments
Geometry proof problem: squared circle
Constructing bisectors of lines & angles
Learn
Geometric constructions: perpendicular bisector
Geometric constructions: perpendicular line
Geometric constructions: angle bisector
Test your understanding of Congruence with these 10 questions.
About this unit
Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.