Geo Quiz. You have 20 min. 1. Find mABD. 2. Find mN and mP.

Slides:



Advertisements
Similar presentations
Ways to Prove Triangles Congruent
Advertisements

Do Now Are triangles ABC and DEF congruent? A(-2,-2) B(4,-2) C(4,6) and D(5,7) E(5,1) F(13,1) –What types of lines make up the triangle?
WARM-UP. SECTION 4.3 TRIANGLE CONGRUENCE BY ASA AND AAS.
Congruence in Right Triangles
2.6 Proving Statements about Angles
4.3 Proving Triangles are Congruent Side-Side-SideSide-Angle-Side.
4-6 Congruence in Right Triangles M.11.C B
2.6 Proving Statements about Angles Geometry. Standards/Objectives Students will learn and apply geometric concepts. Objectives: Use angle congruence.
4.2 Congruence and Triangles Geometry Ms. Reser. Standards/Objectives: Standard 2: Students will learn and apply geometric concepts Objectives:  Identify.
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 Polygons Sec 6.5 GOALS: To identify congruent polygons.
4.2 Congruence and Triangles
Unit 1B2 Day 2.   Tell whether it is possible to create each of the following:  acute scalene triangle  obtuse equilateral triangle  right isosceles.
Chapter 4.2 Notes: Apply Congruence and Triangles
Congruent Triangles Chapter 4-3. Lesson 3 CA Standard 5.0 Students prove that triangles are congruent or similar, and they are able to use the concept.
5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.
Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.
2.6 Proving Statements about Angles Mrs. Spitz GeometryFall 2004.
73° 1; Parallel Post. Warm Up 1. What is the complement of an angle with measure 17°? 2. How many lines can be drawn through N parallel to MP? Why?
4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.
Bellwork 1)When are two angles congruent? 2)In, if m ∠ A=64° and m ∠ B=71°, what is m ∠ C? 3)What property of angle congruence is illustrated by this statement?
Warm Up Check homework answers with each other!. Ch : Congruence and Triangles Students will prove triangles congruent using SSS, SAS, ASA, AAS,
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.
Lesson oning-diagonals-angles-and-parallel- lines/vertical-angles-problem-3/ Quick review:
Prove triangles congruent by ASA and AAS
Proving Triangles are Congruent
Proving Triangles Similar
Triangle Similarity: 7-3 AA, SSS, and SAS Warm Up Lesson Presentation
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?
5.3 Proving Triangles are congruent:
7-3 Triangle Similarity: AA, SSS, SAS Warm Up Lesson Presentation
Warm UP.
4.2-Congruence & Triangles
Objectives Apply SSS and SAS to construct triangles and solve problems. Prove triangles congruent by using SSS and SAS.
Apply Congruence and Triangles
4-3: Congruent Triangles
4.2 APPLY CONGRUENCE AND TRIANGLES
3.5 Overlapping Triangles
4.4 Proving Triangles are Congruent by ASA and AAS
5.3 Proving Triangles Congurent using SAS
5.2 Congruent Polygons.
4.2 Congruence and Triangles
Chapter 4.2 Notes: Apply Congruence and Triangles
Check Homework.
2.6 Proving Statements about Angles
Z Warm Up W U 5 V X Y 6 XYZ 5/
Geometry Proofs Unit 12 AA1.CC.
Lesson 13.2 Similar Triangles pp
Chapter 9 Review NEW!.
4.2 Congruence & Triangles
2.6 Proving Statements about Angles
8.3 Methods of Proving Triangles Similar
4.2 Congruence & Triangles
4-5 Proving Congruence Included side: the side between the 2 angles used. AB is the included side between angles A and B. BC is the included side between.
Warm Up 1. What is the complement of an angle with measure 17°?
4-3: Congruent Triangles
Congruence and Triangles
Get out your Module 4 quiz and
4.2 Congruence & Triangles
Congruence in Right Triangles
Apply Congruence and Triangles:
Lesson 5-2 Congruent Polygons.
Congruence Congruent () figures have the same size and shape.
DRILL Given: Prove: B C A D.
Verifying Segment Relationships
Congruent Triangles.
Objectives Find the measures of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles.
Warm Up Find the measures of the sides of ∆ABC and classify the triangle by its sides. A(-7, 9) B(-7, -1) C(4, -1) AB = 10 BC = 11 AC = √221 The triangle.
7.3 Similar Triangles (~s)
Presentation transcript:

Geo Quiz. You have 20 min. 1. Find mABD. 2. Find mN and mP. 3. The diagram is a map showing John's house, Kay's house, and the grocery store. What is the angle the two houses make with the store?

Homework Questions???

4.3 Congruent Triangles

What Standard will I learn? What will I be able to do? Prove triangles congruent What Standard will I learn? 5.0 Students prove triangles are congruent

corresponding parts are congruent When you write a statement such as ABC  DEF, you are also stating which parts are congruent. Helpful Hint

If Δ ABC is  to Δ XYZ, which angle is  to C? Which side is  to XZ? Ex 1 If Δ ABC is  to Δ XYZ, which angle is  to C? Which side is  to XZ? <C  Z XZ  AC

Ex 2: A B C D E C  Are the two triangles above congruent? If so, write a congruence statement? Yes the triangles are congruent because all the corresponding angles and corresponding sides are congruent. A B C D E C 

Theorem 4.3

Ex 3: find x ) )) ) 22o 22o )) 87o 87o (4x+15)o

Theorem 4.4 Reflexive prop of Δ  ΔABC  ΔABC. Symmetric prop of Δ  If ΔABC  ΔPQR, then ΔPQR  ΔABC. Transitive prop of Δ  If ΔABC  ΔPQR & ΔPQR  ΔXYZ, then ΔABC  ΔXYZ.

SUMMARY

CLASSWORK HOMEWORK Pages 258- 262 #’s 2, 4, 6, 10 – 20 even, 39