Geometry
Chapter 5 Congruent Triangles
Unit 5-1 Angles of Triangles
- Standard 5a: Classify Triangles by Sides and Angles.
- Standard 5b: Find interior and exterior angle measures of triangles
Outline
- Identifying Triangles by Sides and Angles
- Identifying Right Triangles by Their Side Lengths
- Solving for Missing Sides & Angles
- Assignment 5-1: Pg. 236 #4-26 Even
Unit 5-2 Congruent Polygons
- Standard 5c: Identify and Use Corresponding Parts
- Standard 5d: Use the Third Angles Theorem
Outline
- Third Angle Theorem
- Revisiting the Exterior Angles Theorem
- Corresponding Parts of Congruent Polygons
- Assignment 5-2: Pg. 243 #4-10, 13, 14, 23, 24
Unit 5-3 Proving Triangle Congruence by SAS
Outline
- Assignment 5-3:
Unit 5-4 Equilateral & Isosceles Triangles
Outline
- Midsegment Properties
- Bisects two sides of the triangle
- Creates a triangle half the area but with congruent angles
- Assignment 5-4: Pg 256 #3-16, 21-24, 34, 35
Unit 5-5 Proving Triangle Congruence by SSS
- Standard 5f:
- Standard 5g: Using Hypotenuse-Leg Postulate to Prove Right Triangles Congruent
Outline
- Inequalities in a Triangle
- The sum of any two sides must exceed the length of the third
- Assignment 5-5: Part A Pg. 266 #4, 8, 10, 18, 24a), 26, 28 Part B Pg. 266 #5, 6, 23a) , 31
Unit 5-6 Proving Triangle Congruence by ASA and AAS
Outline
- Hinge Theorem
- SAS without the angle
- The larger the angle, the longer the opposite side
- Assignment 5-6: Pg 274 #3-12, 33 a)
Unit 5-7 Using Congruent Triangles
- Standard 5i:
- Standard 5j:
Outline
- Pythagorean Theorem
- Solving for Missing Lengths in a Right Triangle
- Converse of the Pythagorean Theorem
- Pythagorean Inequalities
- Pythagorean Triples
- 3-4-5 Right Triangle
- Finding Other Triples
- Assignment 5-7:
Unit 5-8 Coordinate Proofs
Outline
- Special Angle Triangles
- 30-36-90 Triangle
- 45-45-90 Triangle
- Assignment 5-8: Pg. 372 #1-21, 30-32, 34