2.11 – SSS, SAS, SSA.

Slides:



Advertisements
Similar presentations
4.5 Proving Δs are  : ASA and AAS & HL
Advertisements

Proving Triangles Congruent
4-2 Triangle Congruence by SSS and SAS
4.4 – Prove Triangles Congruent by HL
Proving Triangles Congruent: SSS and SAS
But first a little warm up… How much do you need to know? To prove two triangles are exactly alike? (congruent) If all 6 parts (3 corresponding sides.
4-4 & 4-5: Tests for Congruent Triangles
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
4.5 – Prove Triangles Congruent by ASA and AAS
Mrs. Rivas ∠
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
ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.
& 5.2: Proving Triangles Congruent
Thursday, January 10, 2013 A B C D H Y P E. Homework Check.
Name all the things that can you conclude from each diagram? things2. 3 things3.4 things Warm Up.
4.3 – Prove Triangles Congruent by SSS
Triangle Congruence: by SSS and SAS Geometry H2 (Holt 4-5) K. Santos.
Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,
Chapter 4: Triangle Congruence MISSY MCCARTHY OKEMOS HIGH SCHOOL MATH INSTRUCTOR.
4.4 – Prove Triangles Congruent by SAS Geometry Ms. Rinaldi.
Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.
8-3 Proving Triangles Similar M11.C B
4.4 - Prove Triangles Congruent by SAS and HL. Included Angle: Angle in-between two congruent sides.
Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
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.
SSS & SAS Congruence Postulates Mrs. McConaughy Geometry1 Daily Warm-Up 1. What two conditions must be met to show congruent polygons?  ___________________________.
CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.
4.2: Triangle Congruency by SSS and SAS
Proving Congruence – SSS, SAS Side-Side-Side Congruence Postulate (SSS) If the sides of one triangle are congruent to the sides of a second triangle, then.
Proving Triangles are Congruent: SSS and SAS Sec 4.3
4. 1 Apply Congruence and Triangles 4
4.2 Triangle Congruence by SSS and SAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.
Geometry Sections 4.3 & 4.4 SSS / SAS / ASA
Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.
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.
Before we start…let’s get a few things straight INCLUDED SIDE AB C XZ Y.
Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.
4.4 Proving Congruence – SSS and SAS What you’ll learn: 1.To use SSS Postulate to test for triangle congruence. 2.To use the SAS Postulate to test for.
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.
L.E.Q. How do you prove 2 triangles are congruent using the SSS and SAS postulates?
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
5.2 Proving Triangles are Congruent by SSS and SAS
Proving Triangles are Congruent
Week 4 Warm Up Tell whether each statement is needed to show congruence: 1) The figures must have the same size. 2) The figures must be polygons.
Warm Up m<L = m<L = 180 m<L =
Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?
EQ: How do you show 2 triangles are similar?
5.3 Proving Triangles are congruent:
Proving Triangles Congruent: SSS and SAS
Proving Triangles Congruent
Proving Triangles Congruent
Proving Triangles Congruent
(4.2) Triangle Congruence by SSS and SAS
More Proving Triangles Congruent
7-3 Similar Triangles.
Review: Chapter Test 2 CME Geometry.
Proving Triangles Congruent
Chapter 4.2 Notes: Apply Congruence and Triangles
4-2 Triangle Congruence by SSS & SAS
Proving Triangles Congruent
Proving Triangles Congruent
Proving Triangles Congruent
Chapter 4 Congruent Triangles.
4.5 Proving Triangles are Congruent: ASA and AAS
There are 5 ways to prove triangles congruent.
4-2 Triangle congruence by sss & sas
Proving triangles are congruent: sss and sas
Chapter 4: Congruent Triangles 4.2: Proving Triangles Congruent
Presentation transcript:

2.11 – SSS, SAS, SSA

If you were given three side lengths of a triangle, can you create two different triangles? _________ no

congruent congruent Side-Side-Side (SSS) Congruence Postulate   Side-Side-Side (SSS) Congruence Postulate If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________. congruent congruent

Angle formed where two sides meet Included Angle: Angle formed where two sides meet

Use the diagram to name the included angle between the given pair of sides.

1. Use the diagram to name the included angle between the given pair of sides.

1. Use the diagram to name the included angle between the given pair of sides.

If you were given two side lengths and the included angle measure, can you create two different triangles? ___________ no

SAS Congruence included If two sides and the _____________ angle of one triangle are __________ to two sides and the included angle of a second triangle, then the two triangles are ____________ congruent congruent

There is no ASS in geometry!

If you were given two side lengths and the angle not included, can you create two different triangles? _______ yes

Ex 1: Decide whether the triangles are congruent Ex 1: Decide whether the triangles are congruent. Explain your reasoning. a. ____________________

b. ____________________

c. ____________________

Δ______ ≅ Δ_______ by ____________ Ex 2: Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______   by ____________

Δ______ ≅ Δ_______ by ____________ Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______   by ____________

Δ______ ≅ Δ_______ by ____________ Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______   by ____________

Ex 3: Mark the picture with the given information and add marks for vertical angles or reflexive property, if needed. Then complete the congruence statement or state that there is not enough information.

a.

b.

c.

d.

e.