Angle Relationships in Triangles

Slides:



Advertisements
Similar presentations
Lesson 3-4 (Parallel & Perpendicular Lines) perpendicula r parallel.
Advertisements

Angle Relationships in Triangles
3.5 Parallel Lines and Triangles
Warm Up 1. Find the measure of exterior DBA of BCD, if mDBC = 30°, mC= 70°, and mD = 80°. 2. What is the complement of an angle with measure 17°?
4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.
An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem.
4-3 Angle Relationship in triangles
3-5 Parallel Lines and Triangles
4-2 Angles of Triangles Objectives: The student will be able to: 1. Apply the Triangle-Sum Theorem. 2. Apply the Exterior Angle Theorem.
HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE
Use the diagram to find mMJK.
Classifying Triangles and the Sum of the Measures in a Triangle Day 4.
3.4 parallel Lines and the Triangle Angle-Sum Theorem
Angle Relationships in Triangles
Angle Relationships in Triangles
Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem
Holt McDougal Geometry 4-3 Angle Relationships in Triangles Warm Up 1. Find the measure of exterior DBA of BCD, if mDBC = 30°, mC= 70°, and mD = 80°.
Geometry Lesson 4 – 2 Angles of Triangles Objective: Apply the triangle Angle-Sum Theorem. Apply the Exterior Angle Theorem.
Angle Relationships in Triangles
Geometry Triangles. Vocabulary  Theorem 4-1 (angle sum theorem): The sum of the measures of the angles of a triangle is 180 In order to prove the angle.
3.5 Parallel Lines and Triangles
73° 1; Parallel Post. Warm Up 1. What is the complement of an angle with measure 17°? 2. How many lines can be drawn through N parallel to MP? Why?
Angles of Triangles Angle Sum Theorem The sum of the measures of the angles of a triangle is 180 degrees. Third Angle Theorem If two angles of one triangle.
Holt McDougal Geometry 4-3 Angle Relationships in Triangles 4-3 Angle Relationships in Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Holt McDougal Geometry 4-3 Angle Relationships in Triangles 4-3 Angle Relationships in Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Angle Relationships in Triangles
Holt McDougal Geometry Angle Relationships in Triangles.
Parallel Lines and Triangles Chapter 3 Section 5.
Chapter 3 Lesson 3 Objective: To use exterior angles of triangles.
+ Angle Relationships in Triangles Geometry Farris 2015.
Angle Relationships in Triangles
Angles of Triangles.
Objectives Find the measures of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles.
Section 4-1 Triangles and Angles.
Angles of Triangles 4.2.
Exterior Angles of Triangles
3-3 & 3-4 Parallel Lines & the Triangle Angle-Sum Theorem
Angle Relationships in Triangles
Objectives Find the measures of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles.
Warm Up 1. Find the measure of exterior DBA of BCD, if mDBC = 30°, mC= 70°, and mD = 80°. 2. What is the complement of an angle with measure 17°?
Angle Relationships in Triangles
2.?? Drill 11/ 27/12 1. Find the measure of exterior DBA of BCD, if mDBC = 30°, mC= 70°, and mD = 80°. 2. What is the complement of an angle with.
Warm Up Triangle Activity.
Angle Relationships in Triangles
Angle Relationships in Triangles
Warm Up 1. What is the complement of an angle with measure 17°?
Warm-up Find x a) b).
Class Greeting.
Angle Relationships in Triangles
Exterior Angles of Triangles
Warm-up Find x a) b).
Angle Relationships in Triangles
Warm-up Find x a) b).
V L T The sum of the interior angles of a triangle is 180 degrees.
Warm Up 1. What is the complement of an angle with measure 17°?
Base Angles & Exterior Angles
Correcting Assignment #24 (6, 7, 11-15, 19-24, 27, 29, 31-32)
Angle Relationships in Triangles
Angle Relationships in Triangles
Angle Relationships in Triangles
An auxiliary line used in the Triangle Sum Theorem
Angle Relationships in Triangles
CN#2 Angle Relationships in Triangles
Angle Relationships in Triangles
Math Humor Q: How many feet are in a yard? A: It depends on how many people are in the yard!
Angle Relationships in Triangles
Module 15: Lesson 1 Interior & Exterior Angles
Objectives Find the measures of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles.
Angle Relationships in Triangles
Introduction to Triangles
Presentation transcript:

Angle Relationships in Triangles 4-2 Angle Relationships in Triangles Holt Geometry Warm Up Lesson Presentation Lesson Quiz

Objectives TSW find the measures of interior and exterior angles of triangles. TSW apply theorems about the interior and exterior angles of triangles.

Vocabulary auxiliary line corollary interior exterior interior angle exterior angle remote interior angle

An auxiliary line used in the Triangle Sum Theorem An auxiliary line is a line that is added to a figure to aid in a proof. An auxiliary line used in the Triangle Sum Theorem

A corollary is a theorem whose proof follows directly from another theorem. Here are two corollaries to the Triangle Sum Theorem.

The interior is the set of all points inside the figure The interior is the set of all points inside the figure. The exterior is the set of all points outside the figure. Exterior Interior

An interior angle is formed by two sides of a triangle An interior angle is formed by two sides of a triangle. An exterior angle is formed by one side of the triangle and extension of an adjacent side. 4 is an exterior angle. Exterior Interior 3 is an interior angle.

Each exterior angle has two remote interior angles Each exterior angle has two remote interior angles. A remote interior angle is an interior angle that is not adjacent to the exterior angle. 4 is an exterior angle. The remote interior angles of 4 are 1 and 2. Exterior Interior 3 is an interior angle.