Types of Triangles Geometry 3.6.

Slides:

Advertisements

Similar presentations

Report by Jennifer Johnson

Advertisements

7/3/2015 Geometry 1 Classifying Triangles Free powerpoints at

ADVANCED GEOMETRY 3.6 Types of Triangles LEARNER OBJECTIVE: Students will classify triangles by sides and by angles and will complete problems and proofs.

Triangle Fundamentals

Classifying Triangles Students will classify triangles using the lengths of the sides and the angles. S. Calahan October 2010.

Triangles 1 The Basics. 2 Naming Triangles For example, we can call the following triangle: Triangles are named by using its vertices. ∆ABC∆BAC ∆CAB∆CBA∆BCA.

Classify Triangles Standard 4C.

Triangles Review.

Wednesday, September 26, 2012 Homework: p. 185 #31, 34, 43 & 44 (36-42 mentally)

Section 4.1 Classifying Triangles

Classifying Triangles Angle Measures of Triangles.

Triangle Fundamentals

GEOMETRY 4-1 Classifying Triangles. 4-1 Classifying Triangles By angle measures: Acute Triangle: 3 acute angles Right Triangle: 1 right angle Obtuse Triangle:

Triangle A polygon with three sides and three angles. A triangle can be names by its’ side lengths and angles. – Side lengths: isosceles, equilateral,

4-1 Classifying Triangles

Triangle Classification. Objectives Classify triangles by their angle and side measures Find the sum of the measure of the interior and exterior angles.

GEOMETRY 4-1 Classifying Triangles. Acute Triangle Three acute angles Triangle Classification By Angle Measures.

TRIANGLES AND TYPES OF TRIANGLES. A triangle has three sides.

Classifying Triangles Classifying by Angles: Acute - 3 acute angles Obtuse - 1 obtuse angle Right - 1 right angle Equiangular – An acute triangle with.

Warm Up # 4 Classify and name each angle. 1 ab c d.

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

Holt Geometry 4-1 Classifying Triangles 4-1 Classifying Triangles Holt Geometry.

Classifying Triangles. Two Ways to Classify Triangles  By Their Sides  By Their Angles.

Scalene triangle: A scalene triangle is a triangle that has no equal sides. The following is a scalene triangle.

Lesson 8.3 Concept: How to classify triangles by their sides and angles. An equilateral triangle has three sides of the same length. An isosceles triangle.

Geometry Triangles What is a Triangle? A three sided convex polygon. A three sided convex polygon. Its three segments are called sides. Its three segments.

Triangles and Their Angles Geometry – Section 4.1.

3.6 Types of Triangles Advanced Geometry. Definitions (Index Cards)  Scalene triangle – a triangle in which no two sides are congruent.  Isosceles triangle.

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

Lesson 4 – 1 Classifying Triangles

Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

Section 4-1 Triangles and Angles.

Warm Up 5-1 Classify each angle as acute, obtuse, or right

Triangle Fundamentals

3.6 Types of Triangles Objective:

IDENTIFYING TRIANGLES

Geometry 4.1 Triangle and Angles.

Section 3-4 Angles of a Triangle.

Triangles: Classifications, Angles and More

CLASSIFICATIONS, ANGLES AND MORE!!

Classifying Triangles

Classifying Triangles

Chapter 4: Congruent Triangles

Do Now: What is the distance between (1, -3) and (5, -4)?

Triangle Fundamentals

Triangles Review.

CLASSIFICATIONS, ANGLES AND MORE!!

Classifying Triangles

Triangle Fundamentals

IDENTIFYING TRIANGLES

Right Triangle Definition: A triangle with one 90 degree angle.

Lesson 3-2 Isosceles Triangles.

Classifying Triangles

Classifying Triangles

Add up all the sides Perimeter of Area of a Rectangle: ANY polygon:

Triangle Fundamentals

Triangle Fundamentals

Polygons: Triangles and Quadrilaterals

Classifying Triangles

Classifying Triangles

Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

Chapter 4: Triangles Classifying Triangles by sides:

3-3 Parallel Lines & the Triangle Angle Sum Theorem

4-1 Vocabulary Acute triangle Equiangular triangle Right triangle

Naming Triangles Triangles are named by using its vertices.

Classifying Triangles

Classifying Triangles

Geometry 3.4 Angles of a Triangle.

Classifying Triangles

4-1 Classifying Triangles

Presentation transcript:

Types of Triangles Geometry 3.6

Classification by Sides with Flow Charts & Venn Diagrams polygons Polygon triangles Triangle scalene isosceles Scalene Isosceles equilateral Equilateral Lesson 3-1: Triangle Fundamentals

Classification by Angles with Flow Charts & Venn Diagrams polygons Polygon triangles Triangle right acute equiangular Right Obtuse Acute obtuse Equiangular Lesson 3-1: Triangle Fundamentals

Types of Triangles by Lengths of Sides. Definition: SCALENE a triangle in which no sides are congruent.

Types of Triangles by Lengths of Sides. Vertex Angle Definition: ISOSCELES a triangle in which at least 2 sides are congruent. Base Angles

Types of Triangles by Lengths of Sides. Definition: EQUILATERAL a triangle in which all sides are congruent. **EQUILATERAL applies to any figure in which all sides are congruent**

Types of Triangles by Lengths of Sides. An Equilateral Rectangle is a SQUARE.

Types of Triangles by Size of Angles. Definition: ACUTE Triangle a triangle in which all angles are acute.

Types of Triangles by Size of Angles. Definition: RIGHT Triangle a triangle in which one of the angles is a right angle.

Types of Triangles by Size of Angles. Definition: OBTUSE Triangle a triangle in which one of the angles is an obtuse angle.

Types of Triangles by Size of Angles. EQUIANGULAR: a triangle in which all angles are congruent. **EQUIANGULAR applies to any figure in which all angles are congruent**

Example: Given: m<CBD = 70 Prove: Triangle ABC is obtuse Proof: m<CBD = 70º and <ABD is a straight angle, so m<ABC = 110º. Since ΔABC contains an obtuse angle, it is an obtuse triangle.

Homework Help…#15 There are three possible diagrams that satisfy this description.