Lesson 3.1
Congruence Criteria
Congruent triangles have matching side lengths and angle measures. SSS, SAS, ASA, AAS, and the right-triangle hypotenuse-leg criterion establish congruence. AAA establishes similarity; SSA is generally inconclusive.
← Geometry Honors Study Guide
Unit 3
Triangles, Congruence, and Similarity
When two triangles are the same, and when they are the same shape at a different scale. The criteria are the unit, and knowing which do not work matters as much as which do.
Lessons and exercises
Lesson 3.2
Similarity and Proportion
Similar triangles have equal corresponding angles and a common positive ratio between corresponding side lengths. AA, SAS similarity, and SSS similarity establish similarity. Areas scale by the square of the length factor.
Lesson 3.3
Right Triangle Relationships
Pythagoras applies to right triangles. The hypotenuse is opposite the right angle. Trigonometric ratios connect an acute angle with side ratios; special triangles give exact values.
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