Unit 9
Angles and Pythagorean Theorem
Objectives
By the end of this chapter, you will be able to:

Classroom Handouts
Please talk to your teacher. Extra Practice / Resources
Vocabulary
acute angle alternate interior angles adjacent angles complementary angles corresponding angles exterior angle (of a triangle) hypotenuse legs (or a triangle) perfect square Pythagorean Theorem parallel perpendicular radical right angle square root straight angle supplementary angle square number transversal vertex vertical angle 
Guiding Questions
How are they related?
Can I make a triangle?What if it is a right triangle?
What do I know about this triangle?
How are they related?
Can I make a triangle?What if it is a right triangle?
What do I know about this triangle?
Chapter Outline
Section 9.1
You will look at angles formed when a third line intersects a set of parallel lines, identifying the relationships between certain pairs of angles. You will also learn about the special relationships between the angles inside and outside a triangle and how to tell if two triangles are similar without knowing anything about their side lengths.
Section 9.2
You will learn how to determine if any three lengths will form a triangle, and, if they do, whether that triangle will be acute, obtuse, or right. You will find missing sides of right triangles using the Pythagorean Theorem. You will also learn about the square root operation and irrational numbers.
Section 9.1
You will look at angles formed when a third line intersects a set of parallel lines, identifying the relationships between certain pairs of angles. You will also learn about the special relationships between the angles inside and outside a triangle and how to tell if two triangles are similar without knowing anything about their side lengths.
Section 9.2
You will learn how to determine if any three lengths will form a triangle, and, if they do, whether that triangle will be acute, obtuse, or right. You will find missing sides of right triangles using the Pythagorean Theorem. You will also learn about the square root operation and irrational numbers.