Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

Slides:

Advertisements

Similar presentations

Do Now 2/22/10 Take out your HW from last week. Take out your HW from last week.  Text p. 285, #1-10 all Copy HW in your planner. Copy HW in your planner.

Advertisements

Congruent Polygons. Congruent segments have the same length.

Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.

6.4 Similar and Congruent Figures Similar Figures - t wo figures that have the same shape but not necessarily the same size We use this symbol to show.

Tests for Parallelograms Advanced Geometry Polygons Lesson 3.

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

Aim: How can we review similar triangle proofs? HW: Worksheet Do Now: Solve the following problem: The length of the sides of a triangle are 9, 15, and.

Solve the following proportions. a = 9 b = 7 c = 6 d = 6.

7.2 Similar Polygons. Similar Polygons In geometry, two figures that have the same shape are called similar. Two polygons are similar polygons if corresponding.

Similar Figures Notes. Solving Proportions Review  Before we can discuss Similar Figures we need to review how to solve proportions…. Any ideas?

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.

 When figures have the same size and shape we say they are congruent.  In this lesson I will focus on congruent triangles.

Warm-Up If ∆QRS  ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.

 If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.  If AB = DE, BC = EF, AC.

Section 5.6 The Law of Sines Objective: Students will be able to: 1.Solve triangles using the Law of Sines if the measures of 2 angles and a side are given.

Geometry 6.3 I can recognize the conditions that ensure a quadrilateral is a parallelogram.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

Warm Up Solve each proportion If ∆QRS ~ ∆XYZ, identify the pairs of congruent angles and write 3 proportions using pairs of corresponding.

Math 8 Ms. Stewart Unique Triangles.

 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

Ratios in similar polygons

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

Similarity Postulates

Take a warm-up from the ChromeBook, calculator, and compass

Section 6.5: Prove Triangles are Similar by SSS and SAS

Section 5.1: Multipliying Polynomial Expressions by Monomials

Section 18.3: Special Right Triangles

Section 8.3: Using Special Factors to Solve Equations

Section 17.1: Translations

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

Ways to Prove Quadrilaterals are Parallelograms

Section 14.4: Perpendicular Lines

Section 21.2: AAS Triangle Congruence

Section 13.3: Solving Absolute Value Equations

Section 11.2: Solving Linear Systems by Substitution

Section 16.1: Dilations.

Similarity, Congruence, & Proofs

Section 21.3: HL Triangle Congruence

Section 24.1: Properties of Parallelograms

Section 15.6: Properties of Parallelograms

4.4: Congruent triangles.

Warm Up Circle ONE!.

MU = 122 mW = 119 x = 8.

Section 24.3: Properties of Rectangles, Rhombuses, and Squares

Section 13.1: Understanding Piecewise-Defined Functions

Section 20.1: Exploring What Makes Triangles Congruent

Section 18.1: Sequences of Transformations

Section 17.3: Rotations.

Section 16.4: Reasoning and Proof

Section 9.3: Histograms and Box Plots

Section 20.2: ASA Triangle Congruence

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

8.3 Methods of Proving Triangles Similar

Section 2.2: Solving Absolute Value Equations

Section 20.4: SSS Triangle Congruence

Section 13.2: Absolute Value Functions and Transformations

Section 15.1: Interior and Exterior Angles

Section 18.2: Proving Figures are Congruent Using Rigid Motions

Congruence Congruent () figures have the same size and shape.

Section 12.2: Graphing Systems of LInear Inequalities

SIMILARITY AND CONGRUENCY

Quadrilaterals Sec 12 – 1D pg

Advanced Geometry Section 3.7 The Isosceles Triangle Theorem/Converse/Inverse/Contrapositive Learner Objective: Students will solve proofs and problems.

Defining Similarity (5.3.1)

Section 2.3: Solving Absolute Value Inequalities

Section 3.1: Understanding Rational Exponents and Radicals

Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Presentation transcript:

Section 18.3: Corresponding Parts of Congruent Figures are Congruent (CPCFC)

Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

Congruent Parts of Congruent Figures are Congruent If two figures are congruent, then corresponding sides are congruent and corresponding angles are congruent.

explain 1A △ABC ⩭ △DEF. FInd the given side length or angle measure.

explain 1B △ABC ⩭ △DEF. FInd the given side length or angle measure. m∠ B

Your-Turn #1 △STU ⩭ △VWX. FInd the given side length or angle measure. m∠ S SU

explain 2A △ABC ⩭ △DEF. FInd the given side length or angle measure.

explain 2B △ABC ⩭ △DEF. FInd the given side length or angle measure. m∠ D

Your-Turn #2 Quadrilateral GHJK ⩭ △ quadrilateral LMNP. FInd the given side length or angle measure. m∠ H LM

explain 3A Write each proof.

explain 3B Write each proof.

Revisit Objective(s): Did we... Discover that the corresponding parts of congruent figures are congruent?

HW: Sec 18.2 pg 736 #s 2-16, 25