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Activity 3.8
Assignment 5.14
Definitions and Theorems in Proofs: Two Column
Objective
Complete and create proofs of congruent triangles involving definitions and theorems (midpoints, isosceles triangles, angle bisectors, perpendicular lines) using two column form.
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Assignment 3.9
Assignment 5.15
Assignment 5.13
About Geometry Worksheet Assignment 5.14: This assignment can be downloaded for free.
Assignment 5.14 is an introduction to writing proofs for congruent triangles that include basic definitions and theorems using two column format.
Prerequisite Skills: Identify conditions for triangle congruence (SSS, SAS, ASA, AAS, HL) (Assignment 5.5). Complete and write proofs using two-column form (Assignment 5.12).
Definitions: Definition of Isosceles Triangle: An isosceles triangle is a triangle that has two congruent sides.
Definition of Midpoint: A midpoint of a line segment is a point that divides the line segment into two congruent line segments.
Definition of Angle Bisector: The bisector of an anglet divides the angle into two congruent angles.
Theorem: Perpendicular Lines Theorem: Perpendicular Lines are lines that intersect at right angles. Right angles are congruent.