7-3 Congruent Polygons. Naming & Comparing Polygons ♥List vertices in order, either clockwise or counterclockwise. ♥When comparing 2 polygons, begin at.

Slides:

Advertisements

Similar presentations

Corresponding Parts of Geometric Figures

Advertisements

7.4 A Postulate for Similar Triangles. We can prove that 2 triangles are similar by showing that all 3 corresponding angles are congruent, and all 3 sides.

Honors Geometry Section 4.1 Congruent Polygons

4-4 Using Congruent Triangles: CPCTC

4-2 Triangle Congruence by SSS and SAS

HW # 114- Review the posted ppt. STAR testing tomorrow (in your 2b class) Warm Up Pass your HW TOC forward. Check your HW and study quietly for 5 minutes.

4.1 Congruent Polygons.

Congruent Polygons Lesson 4.1. ABCDE AEDCB Naming polygons A B C D E Pick a letter. A Pick a direction. AB AE Keep going until you get back to the beginning.

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

Congruent Polygons 4.1.

3-1: Congruent Figures Honors Geometry.

Section 4-1 Congruent Polygons

S ECTION 1-4 P OLYGONS. A polygon is a closed figure in a plane, formed by connecting segments endpoint to endpoint with each segment intersecting exactly.

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 8.3 Similar Polygons

3-5 The Polygon Angle-Sum Theorems

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

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

Similar Triangle Proofs Page 5-7. A CB HF E Similar Triangle Proof Notes To prove two triangles are similar, you only need to prove that 2 corresponding.

Geometry Vocabulary 2.7 Substitution Property: When pairs of angles or segments are congruent to each other, one may be substituted into any statement.

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

Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.

Similar Polygons 8.2.

Unit 7 Congruency and Similarity 1 Congruent Figures and Triangles.

Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.

Congruent Triangles Congruency statements and why triangles are congruent.

Congruent Figures Figures are congruent if they are exactly the same size and shape. These figures are congruent because one figure can be translated onto.

Objectives:  To identify congruent polygons and their corresponding parts  To use congruent polygons to determine missing measures.

Congruent Figures Academic Geometry.

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.

EXAMPLE 3 Prove the Vertical Angles Congruence Theorem

Let’s grade homework Pg 138 – 143; 5-9, 17-21, not 8c.

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

4. 1 Apply Congruence and Triangles 4

Warm up No, the measures are not the same Yes, angle measures are the same and the rays go to infinity No, corresponding sides are not congruent, and we.

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

Chapter 8 Lesson 2 Objective: To identify similar polygons.

ASA AND AAS CONGRUENCE Section 4.5. Angle-Side-Angle (ASA) Congruence Postulate  If two angles and the included side of one triangle are congruent to.

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

GEOMETRY HELP Name the polygon. Then identify its vertices, sides, and angles. The polygon can be named clockwise or counterclockwise, starting at any.

 Transversal: a line that intersects two coplanar lines at two different points. T (transversal) n m

Section 7.3. DIRECTIONS 1)Draw a pentagon 2)Measure each side of the pentagon EXACTLY 3)Label each vertex

WARM UP Each table will write their definition on the white board as follows: Table 1: Linear Pair of angles Table 2: Acute angle Table 3: Obtuse angle.

Holt McDougal Geometry 7-1 Ratios in Similar Polygons Warm Up 1. If ∆ QRS  ∆ ZYX, identify the pairs of congruent angles and the pairs of congruent sides.

Prove triangles congruent by ASA and AAS

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

Do Now Find the value of x that will make a parallel to b. (7x – 8)°

(4.2) Triangle Congruence by SSS and SAS

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

Warm-Up Determine if the following triangles are congruent and name the postulate/definitions/properties/theorems that would be used to prove them congruent.

7-3 Similar Triangles.

7.1 Ratio and Proportions.

The Polygon Angle-Sum Theorems

Chapter 4.2 Notes: Apply Congruence and Triangles

Geometry Proofs Unit 12 AA1.CC.

Objective: To use a transversal in proving lines parallel.

2.6 Proving Statements about Angles

Objectives Use properties of congruent triangles.

Unit 5: Triangles 4-1 Congruent Figures.

Unit 5: Triangles 4-1 Congruent Figures.

2.6 Proving Statements about Angles

Unit 2: Congruence, Similarity, & Proofs

Section 3-3 Proving Lines Parallel, Calculations.

Warm Up 1 ( Write a congruence statement

Advanced Geometry Section 3.8 The HL Postulate

Chapter 4: Congruent Triangles 4.2: Proving Triangles Congruent

Presentation transcript:

7-3 Congruent Polygons

Naming & Comparing Polygons ♥List vertices in order, either clockwise or counterclockwise. ♥When comparing 2 polygons, begin at corresponding vertices; name the vertices in order and; go in the same direction. ♥By doing this you can identify corresponding parts. A D C B E DCBAE P I J K H IJKPH  D corresponds to  I AE corresponds to PH

Name corresponding parts Name all the angles that correspond: A D C B E P I J K H  D corresponds to  I  C corresponds to  J  B corresponds to  K  A corresponds to  P  E corresponds to  H DCBAEIJKPH Name all the segments that correspond: DC corresponds to IJ CB corresponds to JK BA corresponds to KP AE corresponds to PH ED corresponds to HI How many corresponding angles are there? How many corresponding sides are there? 55

How many ways can you name pentagon DCBAE? A D C B E 10 Do it. DCBAE CBAED BAEDC AEDCB EDCBA Pick a vertex and go clockwisePick a vertex and go counterclockwise DEABC CDEAB BCDEA ABCDE EABCD

Polygon Congruence Postulate If each pair of corresponding angles is congruent, and each pair of corresponding sides is congruent, then the two polygons are congruent.

Congruence Statements Given: These polygons are congruent. Remember, if they are congruent, they are EXACTLY the same. That means that all of the corresponding angles are congruent and all of the corresponding sides are congruent. DO NOT say that ‘all the sides are congruent” and “all the angles are congruent”, because they are not. G H F E C D B A CONGRUENCE STATEMENT ABCD = EFGH ~

Prove: ΔLXM = ΔYXM ~ X Y M L Statements Reasons XY = XLGiven LM = YMGiven XM = XMReflexive Property  LXM =  YXMGiven  L =  YGiven  XMY =  SMLRight angles ΔLXM = ΔYXMPolygon Congruence Postulate ~ ~ ~ ~ ~ ~ ~

Assignment Pg 214; not 30-34