200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Angles in Triangles Triangle Congruency Isosceles.

Slides:

Advertisements

Similar presentations

Proving Triangles Congruent

Advertisements

Proving Triangles Congruent

Hypotenuse – Leg Congruence Theorem: HL

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

1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.

Congruent Triangles Geometry Chapter 4.

Identifying Congruent Triangles

Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles.

Chapter 4 Congruent Triangles.

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Congruent Triangles.  Standard 25: Identify interior and exterior angles of a triangle and identify the relationships between them.  Standard 26: Utilize.

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

4.6 The Isosceles Triangle Theorems Base Angles and Opposite Sides Hypotenuse - Leg.

4.6 Isosceles Triangles.

1. 2 Definition of Congruent Triangles ABCPQR Δ ABC Δ PQR AP B Q C R If then the corresponding sides and corresponding angles are congruent ABCPQR, Δ.

Classifying Triangles

Isosceles, Equilateral, and Right Triangles Sec 4.6 GOAL: To use properties of isosceles, equilateral and right triangles To use RHL Congruence Theorem.

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

Chapter 4 Notes. 4.1 – Triangles and Angles A Triangle  Three segments joining three noncollinear points. Each point is a VERTEX of the triangle. Segments.

Isosceles and Equilateral Triangles Isosceles Triangle Vocabulary: Vertex Angle – The angle formed by the congruent sides of an isosceles triangle. Base.

September 30, 2009 Congruent Triangles. Objectives Content Objectives Students will review properties of triangles. Students will learn about congruent.

Chapter 4 Triangle Congruence By: Maya Richards 5 th Period Geometry.

DO NOW!!! Solve for “x”..

Chapter 4 Triangle Congruence By: Emily Gorges, Janie Eyerman, Andie Jamison, and Maria Ong.

GE = 2x – 7 GF = x + 4. What is GD? Solve for the variable Bellringer P 23 top 10 lines.

Triangle Properties - Ch 4 Triangle Sum Conjecture The sum of the measures of the angles of a triangle is…. …180 degrees. C-17 p. 199.

Triangles : a three-sided polygon Polygon: a closed figure in a plane that is made of segments, called sides, that intersect only at their endpoints,

Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

Warm-up AAS SSS Not possible HL Not possible SAS.

POINTS, LINES AND PLANES Learning Target 5D I can read and write two column proofs involving Triangle Congruence. Geometry 5-3, 5-5 & 5-6 Proving Triangles.

Bell Work 12/2, 12/3 Work the triangle congruency worksheet. Due in about 15 minutes. I will check for completion before we go over it. Be sure to work.

Chapter 4 Presentation CONGRUENT TRIANGLES. 4.1 Apply Triangle Sum Properties  A triangle is classified by its angles and sides.  Angles: Right=90°

Triangle Congruence 4.5 Isosceles and Equilateral Triangles.

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

Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES

By Shelby Smith and Nellie Diaz. Section 8-1 SSS and SAS  If three sides of one triangle are congruent to three sides of another triangle, then the triangles.

Geometry - Unit 4 $100 Congruent Polygons Congruent Triangles Angle Measures Proofs $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

4-4 Using Corresponding Parts of Congruent Triangles I can determine whether corresponding parts of triangles are congruent. I can write a two column proof.

Triangles and Their Angles Geometry – Section 4.1.

 List the Congruent sides and angles:. Unit Essential Question: How do you use given information to construct a proof involving congruent triangles?

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

Chapters 2 – 4 Proofs practice. Chapter 2 Proofs Practice Commonly used properties, definitions, and postulates  Transitive property  Substitution property.

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

 Objective: we will be able to classify triangles by their angles and by their sides. A B C The vertices of a triangle are labeled with upper case letters.

Isosceles and Equilateral Triangles

Geometry-Part 7.

Warm Up Yes, ASA. Yes, AAS. Not enough info. Yes, SAS.

Proving Triangles Congruent

Proving Triangles Congruent

Proving Triangles Congruent

Types of Triangles and Their Properties

November 30, 2016 Review: Triangle Congruence

Chapter 4: Congruent Triangles

Congruent Triangles Unit 3.

More Proving Triangles Congruent

Objective: To use and apply properties of isosceles triangles.

Congruent Triangles 4-1: Classifying Triangles

Identifying types and proofs using theorems

Congruent Triangles.

Triangles and Angles Section 4.1 and 4.2.

8.3 Methods of Proving Triangles Similar

Proving Triangles Congruent

Proving Triangles Congruent

Congruent Triangles Unit 3.

Isosceles, Equilateral, and Right Triangles

Isosceles/ Equilateral

Postulates and Theorems to show Congruence SSS: Side-Side-Side

5.4 Isosceles and Equilateral Triangles.

G9 - Congruence Postulates for Triangles

Presentation transcript:

Angles in Triangles Triangle Congruency Isosceles And Equilateral Proofs More Triangle Congruency

The exterior angle of a triangle is equal to the sum of what?

What is the two remote interior angles?

$200: In an isosceles triangle what is measure of x? 38 x

What is 71?

$300: If triangeABC is congruent to triangle PQR and the measure of <B is 3v + 4 and m<Q is 8v – 6, find the measure of <B.

What is 10?

$400: In an A-frame house, two congruent sides extend from the ground to form a 24 degree angle at the peak. What angle does each side form with the ground?

What is 78?

$500: In an equilateral triangle the measure of one angle is 3x. What is the value of x?

What is 20?

$100: What Does the “S” stand for in the congruency Theorems?

What is side?

$200: What does the “L” stand for in the HL congruence Theorem?

What is Leg?

$300: How many congruence Theorems are possible?

What is 5

$400: What does CPCTC stand for?

What is Corresponding parts of congruent triangles are congruent?

$500: What is the condition for using CPCTC in a proof?

What is It can only be used after two triangle are already proven to be congruent

$100: An isosceles triangle has two equal ___ and ___?

What is sides and angles?

$200: A triangle that is both equilateral and equilangular has how many equal sides and angles?

What is 3?

$300: If one of the base angles in an isosceles triangle is 65 degrees, what is the vertex angle?

What is 50?

$400: If the base angles of an isosceles triangle are equal to 4x and the vertex angle is 20 degrees, what is the value of x?

What is 20?

$500: The base angles of an isosceles triangle are 3x-50 and the vertex angle is x. Solve for X

What is 40?

$100: A shared side in a proof is referred to as the ____.

What is reflexive property?

$200: a “bow-tie” shaped proof will most likely include this type of angles.

What is vertical?

$300: The first lines of a two-column proof should be filled with the ____.

What is givens?

$400: What are the conditions for using the HL Theorem?

What is right triangles, equal hypotenuse, and one other pair of sides equal?

$500: What reason would you give for why <A is congruent to <D if triangle ABC is congruent to triangle DEF?

What is CPCTC?

$100: Which Theorem makes these triangle congruent?

What is SSS?

$200: Which Theorem makes these triangle congruent?

What is SAS?

$300: Which Theorem makes these triangle congruent?

What is AAS?

$400: Which Theorem makes these triangle congruent?

What is HL?

$500: Which Theorem makes these triangle congruent?

What is no theorem? These triangles are not congruent