4.1 Triangles and Angles Pg 194. Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS)

Slides:

Advertisements

Similar presentations

Chapter 4a: Congruent Triangles By: Nate Hungate, Gary Russell, J. P

Advertisements

Parallel Lines and Planes Section Definitions.

Triangles. A triangle is a polygon with three sides.

Classifying Triangles

4.2: Measuring Angles in Triangles

Bell Work Find the measure of the missing variables and state what type of angle relationship they have(alt. interior, alt. ext, same side interior, corresponding).

4.1 Triangles and Angles.

Basic Definitions in Geometry

Review: Begin at the word “We”. Every Time you move, write down the word(s) upon which you land. We in seven days! break another have will 1. Move to the.

Chapter 4 Congruent Triangles. 4.1 & 4.6 Triangles and Angles Triangle: a figure formed by three segments joining three noncollinear points. Classification.

Lesson 2.1 Classifying Triangles Triangle- a closed figure in a plane that is the union of three segments endpoint to endpoint. Interior Angle- an angle.

Warm Up Week 3 State the number of sides: 1) Equilateral Triangle 2) Rhombus 3) Rectangular Prism.

Classifying Triangles

Chapter 4 Congruent Triangles In this chapter, you will: classify triangles by their parts, apply the Angle Sum Theorem and the Exterior Angle Theorem,

Triangles and Angles Students will classify triangles by their sides and by their angles. Students will apply the Triangle-Angle Sum Theorem, the Isosceles.

Classifying Triangles & Angles of Triangles

5-1 Classifying Triangles

4.1 Triangles and Angles Geometry Mrs. Spitz Fall 2004.

Classifying Triangles Angle Measures of Triangles.

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

2.1:Triangles Properties - properties M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems.

Triangles and Angles Sec 4.1 GOALS: To classify triangles by their angles and sides To find missing angle measures in triangles.

4.1 & 4.2 A Notes. Type of ∆DefinitionPicture Equilateral Triangle CLASSIFICATION BY SIDES All sides are 

Classifying triangles

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 +

Lesson: Objectives: 4.1 Classifying Triangles  To IDENTIFY parts of triangles  To CLASSIFY Triangles by their Parts.

Bell Work Find the measure of the missing variables and state what type of angle relationship they have(alt. interior, alt. ext, same side interior, corresponding).

4.1 & 4.2 A Notes. Type of ∆DefinitionPicture Equilateral Triangle CLASSIFICATION BY SIDES All sides are 

4.1 Triangles and Angles. 2 Standard/Objectives: Objectives: Classify triangles by their sides and angles. Find angle measures in triangles DEFINITION:

Triangles and Angles “I can classify triangles by sides and angles.” “I can find angle measures inside triangles.” By PresenterMedia.comPresenterMedia.com.

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

Angles of a Triangle and Congruent Triangles April 24, 2008.

Find the value of x. 1. x + 2x + 3x = 180 6x = x + x + 40 = x + (x + 1) + 35 = x + 40 = 180 x = 70 3x + 36 = x = 48.

Classifying Triangles How many degrees can be found in all triangles? 180 We can classify triangles 2 ways: By their angles By their sides.

4.1 Classifying Triangles textbook page 173 Classification by Sides  Equilateral – 3 congruent sides  Isosceles – 2 congruent sides  Scalene – no.

Review: Begin at the word “Tomorrow”. Every Time you move, write down the word(s) upon which you land. Tomorrow it is homecoming! because spirit your show.

3-4: Angles of a Triangle. A triangle is the figure formed by 3 segments joining 3 noncollinear points. The points are called vertices (plural of.

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

Triangles and Their Angles Geometry – Section 4.1.

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.

Applying Triangle Sum Properties

Section 4-1 Triangles and Angles.

3.6 Types of Triangles Objective:

Chapter 4: Congruent Triangles

Geometry 4.1 Triangle and Angles.

Angles of Triangles 4.2.

Section 3-4 Angles of a Triangle.

Types of Triangles and Their Properties

Chapter 4: Congruent Triangles

November 7, Angles of Triangles.

Chapter 4 Section 4.1 – Part 1 Triangles and Angles.

4.1 Triangles and Angles.

Parallel Lines and Planes

Session 5 Warm-up.

Objectives -triangle names -remote interior -exterior

Unit 4 – Lesson 1 Apply Triangle Sum Properties

Triangles and Angles Section 4.1 and 4.2.

4.1 Triangles and Angles October 6, 2011.

3-3 Parallel Lines & the Triangle Angle Sum Theorem

Classifying Triangles

Chapter 4 Congruent Triangles.

4.1 – Apply triangle sum properties

5-7 Isosceles and Equilateral Triangles

Triangles and Angles.

Geometry 3.4 Angles of a Triangle.

Presentation transcript:

4.1 Triangles and Angles Pg 194

Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS) Q R S

Classifying Δs by Angles or Sides Angles Acute Obtuse Right Equiangular Sides Scalene Isosceles Equilateral

Each of the three points are vertices Adjacent sides- 2 sides sharing a common vertex Third side is opposite the given vertex. A B C

Parts of a Right Triangle Leg Hypotenuse

Parts of an Isosceles Triangle Leg Base __ ___

How can ΔABC be right and isosceles? A B C ____ _____

Interior Angles )) ))) ( A B C

Exterior Angles (formed by extending the sides) ( )) (( D E F An exterior angle and its corresponding interior angle add up to 180 ⁰.

How do we measure an angle with a protractor?

Thm 4.1:Triangle Sum Thm The sum of the measures of the interior angles of a triangle is 180 o. m  A + m  B+ m  C=180 o A BC

Thm 4.2: Exterior Angles Thm The measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 nonadjacent interior angles. m  1=m  A+ m  B 1 A B C

Corollary to triangle sum thm (Corollary- a statement easily proved using a thm.) * The acute angles of a right triangle are complementary. A B C  A is comp. to  C

Assignment Geometry Textbook p (1-9, 31-39)