University:
High School
Course:
High School Mathematics
Academic year:

2024
Views:

340

Pages:

5
Author:

Cierra S

Proving Statements about Segments & Angles Core Concepts Writing a Two-Column Proof In a proof, you make one statement at a time until you reach the conclusion. Because you make statements based on facts, you are using deductive reasoning. Usually the first statement-and-reason pair you write is given �nformation. Copy or draw diagrams and label given Proof of the Symmetric Property of Angle Congruence Given LI = L2 Prove L2 = LI not mark or label the information in the STATEMENTS 1. LI L2 2. mLI = mL2 3. mL2 = mLl 4. L2 = Ll The number of statements will vary. Prove statement on the diagram. REASONS = statements based on facts that you know or on conclusions from deductive reasoning information to help develop proofs. Do 1. Given definitions, postulates, or proven theorems that allow you to state the corresponding statement 2. Definition of congruent angles 3. Symmetric Property of Equality 4. Definition of congruent angles ,t- Remember to give a reason for the last statement. Extra Practice Complete the proof. 1. Given AB and CD bisec each other at pointMand BM Prove AB = AM+ DM STATEMENTS REASONS 1. BM 1. 2. CM= DM 2. 3. BM=DM 3. 4. BM = DM 4. =C ,en 5. A�� AM-+ MB 6. AB = AM+ D M CM. ve det-t'-noA oi ·b,.sec+ I °('l)lf?, D�:A" � -r� :,,..._ / ,- �� I .-"'lr ....... #IQ,,-.t,'11! or b C S1)��h � I \. t�9 kV'-! l'lt,S 5. Segment Addition 6. 5" bi 1\,\.,4"'o" ?n) f?'½':1'-J or Tr&i �s't-h ve.