Geometry Section 4.1 Apply Triangle Sum Properties.

Slides:

Advertisements

Similar presentations

4.2 Angles of Triangles.

Advertisements

3.5 Parallel Lines and Triangles

Triangles. A triangle is a polygon with three sides.

4.2: Measuring Angles in Triangles

3-5 Parallel Lines and Triangles

 Classify each angle as acute, obtuse or right 90 o 72 o 116 o  How do we know that angle 1 and angle 2 are congruent? 1 2.

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Applying Triangle Sum Properties

HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE

1 The Polygon angle- sum theorems Chapter 6 Section 1.

4.1 – Apply Triangle Sum Properties

Chapter 4.1 Notes: Apply Triangle Sum Properties Goal: You will classify triangles and find measures of their angles.

Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.

Triangles and Lines – Sum of the Angles in a Triangle The sum of the angles in any triangle = 180°

Angles of Triangles Chapter 4, Section 2. Angle Sum Theorem The sum of angles in a triangle is 180 o

Chapter 4.1 Notes: Apply Triangle Sum Properties

3.4 parallel Lines and the Triangle Angle-Sum Theorem

Geometry Section 8.1 Find Angle Measures in Polygons.

Section 3-4: Parallel Lines and the Triangle Angle-Sum Theorem.

ANGLES OF A TRIANGLE Section 4.2. Angles of a Triangle Interior angles  Original three angles of a triangle Exterior angles  Angles that are adjacent.

Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.

Goal, to classify triangles by their sides and by their angles.

4-1 Triangles and Angles. Theorem 4.1: Triangle Sum The sum of the measures of the interior angles of a triangle is 180 . xx yy zz  x +

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Section 3.3 Triangles Thompson. Triangle Sum Theorem The sum of the measures --?--.

Geometry Lesson 4 – 2 Angles of Triangles Objective: Apply the triangle Angle-Sum Theorem. Apply the Exterior Angle Theorem.

Geometry Section 4.1 Triangle Sum Theorem. A triangle is the figure formed by three line segments joining three noncollinear points. A B C.

Warm Up Week 4. Section 11.1 Day 1 I will find the measures of interior and exterior angles of a polygon. 180 ⁰ 360 ⁰ 540 ⁰ 720 ⁰ 3 sides 4 sides.

Do Now. Section 8.2 Angles in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex polygon with n sides.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

 4.1 Classifying Triangles. Example 1 Example 2.

1. Please complete the last sections of your SKILL BUILDER now. 2. Please turn in your HOMEWORK to the box. 3.Pick up your WEEKEND SKILL BUILDER.

Angles Outside the Triangle 4-1B What are remote interior angles? What is the relationship between an exterior angle and the remote interior angles?

Applying Parallel Lines to Polygons Lesson 3.4 Pre-AP Geometry.

Chapter 3 Lesson 3 Objective: To use exterior angles of triangles.

3.4.  The sum of the measures of the angles of a triangle is 180.

+ Angle Relationships in Triangles Geometry Farris 2015.

3-4 Angles of a Triangle. A Triangle is a figure formed by three segments joining three noncollinear points. 1) Classifying triangles by their sides.

Classify These Triangles by Sides and Angles. Chapter 4 Congruent Triangles Section 4.1: Triangle Sum Properties Todays Objective: Determine if a right.

4.1 Triangle Angle Sum and Properties. How many degrees in a triangle? The sum of the angles in any triangle is exactly 180 degrees.

Applying Triangle Sum Properties

 Scalene Triangle No sides congruent  Isosceles Triangle Exactly 2 sides congruent  Equilateral Triangle All sides congruent.

CH. 4.1 APPLY TRIANGLE SUM PROPERTIES. VOCAB Interior Angles : angles inside the triangle (sum = 180) Exterior Angles: angles outside the triangle Interior.

4.1: Apply Triangle Sum Properties

Exterior Angles.

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Do Now Classify the following triangles as acute, right, or obtuse. 2.

4.1 Apply Triangle Sum Properties

Section 3-5 Parallel lines and Triangles.

Angles of Triangles.

Week 3 Warm Up State the number of sides: 1) Trapezoid

Section 4-1 Triangles and Angles.

Chapter 4: Congruent Triangles

Name the type of triangle shown below.

WARM UP What is the sum of the angle measures of each triangle?

Geometry 4.1 Triangle and Angles.

Angles of Triangles 4.2.

Notecards Unit 4 Triangle Properties.

A C B Triangle Sum Theorem (4.1)

Types of Triangles and Their Properties

Warmup Triangle Sum Theorem – if you add up the measures of all interior angles of any triangle, you will get 180⁰ For each triangle, find the measure.

Chapter 4: Congruent Triangles

V L T The sum of the interior angles of a triangle is 180 degrees.

Base Angles & Exterior Angles

Exterior Angle Theorem

4.1 – Apply triangle sum properties

4.1 Apply Triangle Sum Properties

Module 15: Lesson 1 Interior & Exterior Angles

Section 3-5 Parallel lines and Triangles.

Presentation transcript:

Geometry Section 4.1 Apply Triangle Sum Properties

Angles of a Triangle When the sides of a polygon (triangle) are extended, other angles are formed. The original angles are the interior angles. The angles that form linear pairs with the interior angles are the exterior angles

Triangle Sum Theorem The sum of the measures of the interior angles is 180° A B C

Exterior Angle Theorem The measure of an exterior triangle is equal to the sum of the measures of the two nonadjacent interior angles A B C 1

Corollary to the Triangle Sum Theorem The acute angles of a right triangle are complementary A BC

Examples Page 221 #15, 17, 33, 37

Assignment Section 4.1 Page 221 Problems #1-6 all, 8-18 even, 21-26, 32, 34