Download Unit 5

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