Unit 4 Congruent Triangles ~ Lesson Objective To recognize congruent figures and their corresponding parts.

Slides:

Advertisements

Similar presentations

4.1 Congruent Figures Chapter 4 Congruent Triangles.

Advertisements

4-1: Congruent Figures. Congruency Congruent figures have the same size and shape.

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.

4.2 Congruence & Triangles Geometry Mrs. Spitz Fall 2005.

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.

4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

L.E.Q. How do you identify congruent figures and their corresponding parts?

Lesson: Pages: Objectives: 4.3 Exploring CONGRUENT Triangles 196 – 197  To NAME and LABEL Corresponding PARTS of CONGRUENT Triangles  To STATE the CPCTC.

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

Chapter 7 Similarity. Definition: Ratio The angles of a pentagon are in ratio 4:2:5:5:2, find the measure of each angle 4x+2x+5x+5x+2x = x.

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

Section 4-1 Congruent Figures SPI 31A: identify corresponding parts of congruent geometric figures SPI 32C: determine congruence or relations between triangles.

Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.

4.2 Congruence and Triangles

Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Congruent Figures Academic Geometry.

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

Isosceles Triangle Theorem (Base Angles Theorem)

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

Lesson 4 – 3 Congruent Triangles

Then/Now You identified and used congruent angles. Name and use corresponding parts of congruent polygons. Prove triangles congruent using the definition.

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

Congruent Figures. Congruent figures have the same size and shape. Congruent polygons have congruent corresponding parts - their matching sides and angles.

Bell Work A regular hexagon has a total perimeter of 120 inches. Find the measure of each side of the polygon. A hexagon has 6 sides. Since it’s a regular.

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.

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.

4.2 Congruence & Triangles

2.2 Proofs Involving Congruence

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.

Congruent and Similar Figures

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?

Each side measures 20 inches.

4.2-Congruence & Triangles

Identifying Congruent Figures

4-3: Congruent Triangles

4.2 APPLY CONGRUENCE AND TRIANGLES

7-3 Similar Triangles.

5.2 Congruent Polygons.

Proving Triangles Congruent

Chapter 4.2 Notes: Apply Congruence and Triangles

CONGRUENT TRIANGLES 2 Triangles are CONGRUENT if they have:

Chapter 4: Corresponding Parts in Congruence

Proving Triangles Congruent

4.2 Congruence & Triangles

Lesson 4-2: Congruent Triangles

4.2 Congruence & Triangles

Lucas Dougherty.

4.2 Congruence & Triangles

4-3: Congruent Triangles

Congruence and triangles

Congruence and Triangles

4.2 Congruence & Triangles

Apply Congruence and Triangles:

Proving Triangles Congruent

Prove Triangles Congruent by SAS

Ex: Given: Prove: CPCTC:

Proving Triangles Congruent

Congruence Lesson 9-5.

4.4 Prove Triangles Congruent by SAS and HL

Intro to G.6 Congruent Triangles.

Congruent Triangles Section 4.2.

Congruent Triangles.

Congruent Triangles.

Presentation transcript:

Unit 4 Congruent Triangles ~ Lesson Objective To recognize congruent figures and their corresponding parts.

Congruent Figures Congruent Polygons: Congruent polygons are polygons that have corresponding sides that are congruent and corresponding angles that are congruent. Ex. Of corresponding: AX corresponds to PY AX PY XB YQ BC QR CA RP

Congruent Figures To be congruent, figures must have the same: Shape Size You can slide, flip or turn them so that one fits exactly over the other

List the congruent corresponding parts. Congruent Figures List the congruent corresponding parts.

Congruent Figures Given that the following pentagons are congruent, find the value of C A R W 132° E B 95° P S T D

Congruent Figures 92° 40° Theorem 4-1: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

Decide whether the triangles are congruent. Justify! Congruent Figures Decide whether the triangles are congruent. Justify! 3 4 A B C D E

Proving Triangles Congruent Statements Reasons 1. 2. 3. 4. 5. ; Reflexive Property ; Definition of polygons