
Chapter 3
... Proposition: Given an equivalence relation on S, its equivalence classes form a partition of S. Conversely, given a partition, the condition “A and B belong to the same cell Si ” defines an equivalence relation. Remark: In an algebraic context equivalence classes are often called cosets. For example ...
... Proposition: Given an equivalence relation on S, its equivalence classes form a partition of S. Conversely, given a partition, the condition “A and B belong to the same cell Si ” defines an equivalence relation. Remark: In an algebraic context equivalence classes are often called cosets. For example ...
Chapter 8A - Geometric Properties
... B. One person in charge of vocabulary sheet and marking items as you go along C. Two people in charge of locating as many different vocabulary words as possible D. One person is charge of writing down which picture will go with which vocabulary ...
... B. One person in charge of vocabulary sheet and marking items as you go along C. Two people in charge of locating as many different vocabulary words as possible D. One person is charge of writing down which picture will go with which vocabulary ...
Handout Version
... Similarity Two figures A and B are similar if all lengths of one are proportional to the corresponding lengths of the other. Note that this means that the corresponding angles are equal. We write A ∼ B. Congruence Two figures are congruent if all lengths of one are equal to the corresponding lengths ...
... Similarity Two figures A and B are similar if all lengths of one are proportional to the corresponding lengths of the other. Note that this means that the corresponding angles are equal. We write A ∼ B. Congruence Two figures are congruent if all lengths of one are equal to the corresponding lengths ...
Propositions - Geneseo Migrant Center
... Proposition 17: Theorem 3.8 If three or more parallels intercept equal segments on one transversal, they intercept equal segments on every transversal. We’ll show this with just three parallel lines. Given h || w || z , cut by transversal line t1 at points A, B, and C, such that AB ≅ BC , then any t ...
... Proposition 17: Theorem 3.8 If three or more parallels intercept equal segments on one transversal, they intercept equal segments on every transversal. We’ll show this with just three parallel lines. Given h || w || z , cut by transversal line t1 at points A, B, and C, such that AB ≅ BC , then any t ...