Geometry Thursday 3 5 15 WarmUps Pythagorean Theorem

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Geometry Thursday 3 -5 -15 • Warm-Ups • Pythagorean Theorem review problems • Check

Geometry Thursday 3 -5 -15 • Warm-Ups • Pythagorean Theorem review problems • Check in and discuss A#7. 2 pg 354 #12 -35 • Discussion/Notes/Guided Practice • Section 7. 3: Special Right Triangles • Assignment • A#7. 3 Worksheet Today: 4: 00 -6: 30 cafeteria Parent-Teacher Conferences Monday 3/9/15 Quiz: 7. 2/7. 3 Monday we learned. . . • Why the Pythagorean Theorem is true • How to use the Pythagorean Theorem and its Converse to solve triangle problems • How to identify if 3 side lengths of a triangle are considered a Pythagorean Triple • How to determine if 3 side lengths form a right triangle Today we are learning to. . . • Identify and use properties of the special 30 -60 -90 and 45 -45 -90 triangles We will show that we can do this by. . . • Asking and answering questions • Finding triangle side lengths given either a 30 -60 -90 or 45 -45 -90 triangle (7. 3 Worksheet) To know how well we are learning this we will look for. . . • Correct side lengths (or answers) It is important for us to learn this (or be able to do this) because. . Solving triangles can help determine heights or distances of objects in real life. Using these properties are “short-cuts” and will save time when solving triangles. Tomorrow we will learn about. . . Applying what we’ve learned about the Pythagorean Theorem, its converse, and special triangle properties.

Warm-ups: 1. Take out A#7. 2 page 354 #12 -35 and put on your

Warm-ups: 1. Take out A#7. 2 page 354 #12 -35 and put on your desk for check-in. 2. Complete this slide during check in.

7 -3 Special Right Triangles • 45°-90°

7 -3 Special Right Triangles • 45°-90°

45°-90° Triangle Theorem

45°-90° Triangle Theorem

Example #1: Find side lengths of a 45 -45 -90 triangle • Find x

Example #1: Find side lengths of a 45 -45 -90 triangle • Find x and y Your turn… • Find x and y

Example #2 Find side lengths of a 45 -45 -90 triangle • Find x

Example #2 Find side lengths of a 45 -45 -90 triangle • Find x and y Your turn… • Find x and y 32

Properties of 30°-60°-90° Triangle

Properties of 30°-60°-90° Triangle

30°-60°-90° Triangle Theorem

30°-60°-90° Triangle Theorem

Example #3 Find side lengths of a 30 -60 -90 triangle • Find x

Example #3 Find side lengths of a 30 -60 -90 triangle • Find x and y Your turn… • Find x and y

Example #4 Find side lengths of a 30 -60 -90 triangle • If c

Example #4 Find side lengths of a 30 -60 -90 triangle • If c = 8, find a and b.

7. 3 Worksheet

7. 3 Worksheet