Warm Up 1. Name all sides and angles of ∆FDE. 2. What is true about  K and  L? Why? 3. What does it mean for two segments to be congruent?

Slides:

Advertisements

Similar presentations

4-4 Using Congruent Triangles: CPCTC

Advertisements

4-1 Congruent Figures. Congruent Figures Whenever two figures have the same size and shape, they are called Congruent. We already know about congruent.

3-1: Congruent Figures Honors Geometry.

I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.

4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.

SWBAT: Recognize Congruent Figures and Their Corresponding Parts

Day 2 I can understand the concept of congruent figures. I can accurately identify the corresponding parts of figures. Find the number of triangles in.

Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts.

ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.

Advanced Geometry Section 2.7 Transitive and Substitution Properties

Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.

Proving angles congruent. To prove a theorem, a “Given” list shows you what you know from the hypothesis of the theorem. You will prove the conclusion.

Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.

Inequalities Involving Two Triangles SAS Inequality/Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle and the included.

Warm Up Week 3 Tell whether it is possible to draw each triangle: 1) right isosceles triangle 2) scalene equiangular triangle 3) right scalene.

Congruent Triangles Congruency statements and why triangles are congruent.

4.2 Congruence and Triangles

4.2 Congruent Figures In congruent figures, all corresponding parts of one figure are congruent to the corresponding parts of the other. Corresponding.

Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 3.1 Congruent Triangles.

Unit 1B2 Day 2.   Tell whether it is possible to create each of the following:  acute scalene triangle  obtuse equilateral triangle  right isosceles.

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.

Chapter 4.2 Notes: Apply Congruence and Triangles

4.3 Congruent Triangles Then: You identified and used congruent angles. Now: 1. Name and use corresponding parts of congruent triangles. 2. Prove triangles.

Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed.

4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.

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.

Warm Up. 4.3 Congruent Triangles Unit 2 Chapter 4.

4.4 Proving Triangles are Congruent: ASA and AAS Geometry.

Using Special Quadrilaterals

4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.

CONGRUENT TRIANGLES. Congruence We know… Two SEGMENTS are congruent if they’re the same length. Two ANGLES are congruent if they have the same measure.

Solve for x and y: 43° 75° y° x° 75° = y + 43° 75 – 43 = y 32° = y z° x and 43° are Alternate Interior Angles 43° = x.

Prove triangles congruent by ASA and AAS

4-2 Triangle Congruence by SSS and SAS

Proving Triangles are Congruent

Similarity Postulates

Inequalities in two triangles

5.3 Proving Triangles are congruent:

4-2 Triangle Congruence by SSS and SAS

4.2-Congruence & Triangles

Apply Congruence and Triangles

4-3: Congruent Triangles

5-1: The Idea of Congruence 5-2: Congruences Between Triangles

7-3 Similar Triangles.

Similarity, Congruence, & Proofs

Triangle Congruence.

Chapter 4.2 Notes: Apply Congruence and Triangles

End Warm Up Find the missing angles below

Check Homework.

Geometry Proofs Unit 12 AA1.CC.

5.1 Congruence and Triangles Day 2

Chapter 4: Corresponding Parts in Congruence

4.2 Congruence & Triangles

Objectives Use properties of congruent triangles.

Congruent Triangles.

Congruence and Triangles

Triangle Congruences Day 2.

4-6 Congruence in Right Triangles

Apply Congruence and Triangles:

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Warm Up Take out your placemat and discuss it with your neighbor.

Unit 2: Congruence, Similarity, & Proofs

2.7 Prove Theorems about Lines and Angles

Congruent Triangles Section 4.2.

Warm Up 1 ( Write a congruence statement

Congruent Triangles.

Congruent Triangles. Congruence Postulates.

Integrated Math One Task 6.9

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Presentation transcript:

Warm Up 1. Name all sides and angles of ∆FDE. 2. What is true about  K and  L? Why? 3. What does it mean for two segments to be congruent?

Warm Up 1. Name all sides and angles of ∆FDE. 2. What is true about  K and  L? Why? 3.What does it mean for two segments to be congruent? They all have the same measurement: angles and side lengths are the same. ∠FDE, ∠DEF, ∠EFD Angles K and L are congruent Because of the Third angles theorem.

4.3: Assignment p. 234 #13-18, and 38-45

4.3: Congruent Triangle Objectives: To apply properties of congruent triangles. To prove triangles congruent by using the definition of congruence. Supplies: Math Notebook notes

4.3: Congruent Triangle Diagram Corresponding Angles Corresponding Sides B A C F E D ∠ABC≅∠FDE ∠BCA≅∠DEF ∠CAB≅∠EFD AB length of the side AB=FD

4.3: Congruent Triangle Consecutive Vertices Parts in the same location of two different figures. Congruent Triangles: 3 pairs of  corresp. sides. 3 pairs of  corresp. Angles.

4.3: Assignment p. 234 #13-18, and 38-45