Objectives: Use properties of isosceles and equilateral triangles

Slides:

Advertisements

Similar presentations

Congruent Figures Congruent Polygons have congruent corresponding parts- their matching sides and angles.

Advertisements

Congruent Polygons Have congruent corresponding parts. Have congruent corresponding parts. When naming congruent polygons, always list corresponding vertices.

By, Alyssa Fountaine Sarah Dimick Spencer Mercure.

Congruent Polygons. Congruent segments have the same length.

Proving Triangles Congruent

Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.

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

4.3 & 4.4 Proving Triangles are Congruent

CHAPTER 8 Geometry Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.1Basic Geometric Figures 8.2Perimeter 8.3Area 8.4Circles 8.5Volume.

Triangle Congruence Students will be able to apply the Triangle Congruence Postulates in order to solve problems.

4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.

6.3 Congruent Triangles: SSS and SAS

Proving Triangles Congruent Geometry Ch 04 A BowerPoint Presentation.

Geometry – Chapter 4 Congruent Triangles.

4.6 Isosceles, Equilateral, and Right Triangles Geometry Mrs. Spitz Fall 2009.

Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?

4.3 Proving Triangles are Congruent Side-Side-SideSide-Angle-Side.

Triangle Congruence: SSS, SAS, ASA, AAS, and HL

C. N. Colon Geometry St. Barnabas HS. Introduction Isosceles triangles can be seen throughout our daily lives in structures, supports, architectural details,

Triangles- The Ambiguous Case Lily Yang Solving Triangles If you are given: Side-Side-Side (SSS) or Side-Angle-Side (SAS), use the Law of Cosines.

CONGRUENT TRIANGLES UNIT 2 LESSON 1. Triangle Style.

ISOSCELES TRIANGLES 1 Modified by Lisa Palen. PARTS OF AN ISOSCELES TRIANGLE An isosceles triangle is a triangle with at least two congruent sides. The.

4.1: Apply Triangle Sum Properties

1 Chapter 4 Review Proving Triangles Congruent and Isosceles Triangles (SSS, SAS, ASA,AAS)

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

4-6 Isosceles & Equilateral Triangles

5.4 – Equilateral and Isosceles Triangles

Isosceles, Equilateral, and Right Triangles Geometry Mrs. Kinser Fall 2012.

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

Proving Triangles Congruent

(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs.

Monday, October 22, 2012 Homework: p. 211 #28-34 even.

WHAT IS A CONGRUENT TRIANGLE??. Definition Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles.

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

Chapter 4.1 Common Core - G.SRT.5 Use congruence…criteria for triangles to solve problems and prove relationships in geometric figures. Objectives – To.

4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.

Triangle Congruency Classifying Triangles by Sides Equilateral Triangle 3 congruent sides Isosceles Triangle At least 2 congruent sides Scalene Triangle.

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.

5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

4.3 Isosceles & Equilateral Triangles Geometry Big Daddy Flynn 2013.

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.

4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.

Triangle Congruence 4.5 Isosceles and Equilateral Triangles.

For 9 th /10 th grade Geometry students Use clicker to answer questions.

DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.

Unit 3: Properties of Triangles Congruent: identical in size and shape S-A-S - 2 sides and the angle in between them are the same. A-S-A – 2 angles and.

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

Geometry Sections 4.3 & 4.4 SSS / SAS / ASA

Proving Triangles Similar by AA , SAS, & SSS

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.

CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,

Chapter 4. If DOG CAT then: DG _______ G _______ OGD __________ = ~ ~ ~ ~ = = =

Geometry. Congruent polygons have corresponding sides that are congruent and corresponding angles that are congruent.

Do Now: Identify two congruent triangles in the figure below. H N A D.

Side-side-side (SSS) postulate If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Warm Up: March 27th Translate Left 5 and down 4Left 3 and up 2 A B CD.

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

Review: Solving Systems x 2y+3 x+y 12 Find the values of x and y that make the following triangles congruent.

Use isosceles and equilateral triangles

Objectives: Use properties of isosceles and equilateral triangles

4.7 – Use Isosceles and Equilateral Triangles

Proving Triangles Congruent

Three ways to prove triangles congruent.

Objective: To use and apply properties of isosceles triangles.

Lesson 3-2 Isosceles Triangles.

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

7.2 Isosceles and Equilateral Triangles

Equilateral TRIANGLES

Presentation transcript:

Objectives: Use properties of isosceles and equilateral triangles Use properties of right triangles

Properties of Isosceles Triangles In lesson 4.1, you learned that a triangle is an isosceles if it has at least two congruent sides. The two angles adjacent to the base are the base angles. The angle opposite the base is the vertex angle.

Remember: An EQUILATERAL triangle is a special type of isosceles triangle.

Equilateral and Isosceles Triangles Find the value of x Find the value of y 3x = 180 X = 60 y° x°

Ex. 2: Using Equilateral and Isosceles Triangles Find the value of x Find the value of y 120° + 2y° = 180° 2y = 60 y = 30 y° x° 60°

Using Properties of Right Triangles You have learned four ways to prove that triangles are congruent. Side-Side-Side (SSS) Side-Angle-Side (SAS) Angle-Side-Angle (ASA) Angle-Angle-Side (AAS)

Solve: Solution: Isosceles Triangle X = 180-54-54 X=72

Solve: Solution: Two Isosceles Triangles 90- 28 = 62 180-62-62 = 56 90- 28 = 62 180-62-62 = 56 X=56

Solve: Solution: Two Isosceles Triangles 180 – 65-65 = 50 180 – 50-50 = 80 X= 80 50 50 =80 50

Solve: Solution: 120 = 60+60 60= 60 vertical angles X = 60 60 60 60 60

Try this one: Solution: 12 = 2x -12 24 = 2x X = 12

One More: Solution: 180-68-68 = 44 90 - 44 = 46 4x – 2 = 46 Solve for x 4x = 48 X = 12 44 68

Last One: Solution: 146 = 13x + 3 143 = 13x 11