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Name _______________________________________ Date __________ Block _____ Unit 5 Chapter 4 – Congruent Triangles Chapter 5 – Relationships in Triangles Standards: G.CO.7, G.CO.8, G.CO.10 In this unit students will be able to understand congruence in terms of rigid motions, prove geometric theorems, make geometric constructions, include CPCTC, midsegment theorems, triangle angle sum, triangle congruence theorems. UNIT GOAL: Students will understand how to: determine if two figures are congruent by comparing corresponding; prove triangles are congruent without having to compare all corresponding parts; apply the special relationships of the angles and sides of Isosceles and Equilateral triangles. ESSENTIAL QUESTIONS: 1) How do you identify corresponding parts of congruent triangles? 2) How do you show that 2 triangles are congruent? 3) How can you tell whether a triangle is isosceles or equilateral? 4) How do you solve problems that involve measurements of triangles? Students will know… ►How to prove that angles are congruent ►Parts of a right triangle and congruent corresponding parts ►The sum of the angle measures of triangles is always the same i.e. 180 degrees ►Understand the parts of a right triangle Standard Daily Objective/Vocabulary G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G.CO.8 G.CO.10 ***** 3-5 4-1 4-2, 4-3, & 4-6 4-4 4-5 5-1 Use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria for SSS, SAS, AAS, ASA, and HL. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180º; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point (Geo book: 3-5, 4-5, & 5-1) Pearson Geometry Textbook Topics for Unit 5 Triangle Sum Theorem Congruent Figures Triangle Congruence by SSS, SAS, ASA, AAS, HL Using Corresponding Parts of Congruent Triangles Isosceles & Equilateral Triangles Midsegments of Triangles Date - Classwork or Homework Assignment UNIT 5 CONTINUED…. QUIZ: TBA TEST: TBA Unit 5: Congruence Types of Angles Angle Relationships Congruence Theorems Midsegments Proofs o Triangle Congruence Theorems (include CPCTC) o Midsegment Theorem o Triangle Angle Sum Theorem (using parallel lines) Isosceles/Equilateral Triangles CCSS: G.Co.7, 8, 10