Geometry. Congruent polygons have corresponding sides that are congruent and corresponding angles that are congruent.

Slides:



Advertisements
Similar presentations
Congruent Figures Congruent Polygons have congruent corresponding parts- their matching sides and angles.
Advertisements

Congruent Polygons Have congruent corresponding parts. Have congruent corresponding parts. When naming congruent polygons, always list corresponding vertices.
Section 4-3 Triangle Congruence (ASA, AAS) SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram.
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
4.4 & 4.5 Proving Triangles Congruent
Caitlin Bryant Learning Triangle Congruence Postulates using TRI-FID.
Congruent Polygons. Congruent segments have the same length.
Proving Triangles Congruent
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
Congruent and Similar. Similar and Congruent Figures Congruent polygons have all sides congruent and all angles congruent. Similar polygons have the same.
Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. Review of Congruence A C B DE F.
4.3 & 4.4 Proving Triangles are Congruent
Ways to prove Triangles Congruent. Method: Side-Side-Side (SSS) Description: Three corresponding sides are congruent from one triangle to another. (SSS.
Triangle Congruence Postulates T.2.G.1 Apply congruence (SSS …) and similarity (AA …) correspondences and properties of figures to find missing parts of.
Triangle Congruence Students will be able to apply the Triangle Congruence Postulates in order to solve problems.
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
Proving Triangles Congruent Geometry Ch 04 A BowerPoint Presentation.
Similarity in Triangles. Similar Definition: In mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure)
Honors Geometry Section 8.3 Similarity Postulates and Theorems.
Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?
Chapter 4: Congruent Triangles
Math 1 February 27 th Turn in homework – page 34.
Benchmark 37 I can identify two triangles as similar using SSS, SAS, or AA triangle proportionality theorem.
Triangle Congruence: SSS, SAS, ASA, AAS, and HL
Using Proportions to Solve Geometry Problems Section 6.3.
Triangles- The Ambiguous Case Lily Yang Solving Triangles If you are given: Side-Side-Side (SSS) or Side-Angle-Side (SAS), use the Law of Cosines.
CONGRUENT TRIANGLES UNIT 2 LESSON 1. Triangle Style.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 9-4 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem.
Objectives: Use properties of isosceles and equilateral triangles
Geometry 4-5 ASA, AAS, and HL. Vocab. Word An included side is the common side of two consecutive angles in a polygon. (The side in between two angles)
Proving Triangles Congruent
(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs.
Exploring Congruent Triangles. Congruent triangles: Triangles that are the same size and shape – Each triangle has six parts, three angles and three sides.
Monday, October 22, 2012 Homework: p. 211 #28-34 even.
WHAT IS A CONGRUENT TRIANGLE??. Definition Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles.
Congruent Triangles have six sets of corresponding parts! Three sets of corresponding sides Three sets of corresponding angles.
Geometry Warm-Up 1/19/11 1.Find the scale factor. 2.Find the length of DE. 3.Find the measure of  E. ∆ABC ~ ∆EDF.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm up 1.What is the ratio of the corresponding side lengths for two congruent triangles?
(AA, SSS, SAS). AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
8-3 Proving Triangles Similar M11.C B
Postulates and Theorems to show Congruence SSS: Side-Side-Side
4.2: Triangle Congruency by SSS and SAS Objectives: To prove two triangles congruent using the SSS and SAS Postulates.
3.2 Three Ways to Prove a Triangle Congruent Kaylee Nelson Period: 8.
Question about homework? Any questions on the homework? (choose random problems)
4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.
Triangle Congruency Classifying Triangles by Sides Equilateral Triangle 3 congruent sides Isosceles Triangle At least 2 congruent sides Scalene Triangle.
Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 3.1 Congruent Triangles.
Then/Now You proved triangles congruent using the definition of congruence. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate.
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.
U W VX Z Y XYZ 5/ Warm Up.
 There are 3 ways to show two triangles are similar to each other. Those 3 ways are: 1. Angle-Angle Similarity Postulate. (AA~) 2. Side-Angle-Side Similarity.
For 9 th /10 th grade Geometry students Use clicker to answer questions.
4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.
DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.
Unit 3: Properties of Triangles Congruent: identical in size and shape S-A-S - 2 sides and the angle in between them are the same. A-S-A – 2 angles and.
Proving Triangles Congruent. How much do you need to know... need to know about two triangles to prove that they are congruent?
Geometry Sections 4.3 & 4.4 SSS / SAS / ASA
4.4 Proving Triangles are Congruent: ASA and AAS Geometry.
Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.
Drill Write your homework in your planner Take out your homework What postulate would you use to prove the triangles below congruent?
Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.
1 2 Parallel lines Corresponding angles postulate: If 2 parallel lines are cut by a transversal, then corresponding angles are congruent….(ie.
Do Now: Identify two congruent triangles in the figure below. H N A D.
Congruent Triangles Unit 4-5 Congruent Triangle Theorems.
Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x ° 1) Find the value of x. 4x x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.
Side-side-side (SSS) postulate If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Warm Up: March 27th Translate Left 5 and down 4Left 3 and up 2 A B CD.
Review: Solving Systems x 2y+3 x+y 12 Find the values of x and y that make the following triangles congruent.
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
Presentation transcript:

Geometry

Congruent polygons have corresponding sides that are congruent and corresponding angles that are congruent.

Geometry A C D E F G H J K L M B └A =└G └B =└H └C =└J └D =└K └E =└L └F =└M AB = GH

Geometry A C D E F G H J K L M B └A =└G └B =└H └C =└J └D =└K └E =└L └F =└M AB = GH

Geometry A C D E F G H J K L M B └A =└G └B =└H └C =└J └D =└K └E =└L └F =└M AB = GH

Geometry A C D E F G H J K L M B └A =└G └B =└H └C =└J └D =└K └E =└L └F =└M AB = GH

Geometry Showing That Triangles Are Congruent A B C X Y Z

Geometry Showing That Triangles Are Congruent Side-Side-Side SSS A B C X Y Z

Geometry Showing That Triangles Are Congruent Side-Angle-Side SAS A B C X Y Z

Geometry Showing That Triangles Are Congruent Angle-Side-Angle ASA A B C X Y Z

Geometry Showing That Triangles Are Congruent Angle-Angle-Side AAS A B C X Y Z

Geometry Showing That Triangles Are Congruent Hypotenuse-Leg HL A B C X Y Z

Geometry Showing That Triangles Are Similar AB C X Y Z

Geometry Showing That Triangles Are Similar AB C X Y Z Similar triangles are the same shape but different sizes.

Geometry Showing That Triangles Are Similar AB C X Y Z Similar triangles are the same shape but different sizes. Angle-Angle AA └A = └X └B = └Y

Geometry Showing That Triangles Are Similar AB C X Y Z Similar triangles are the same shape but different sizes. Side-Side-Side SSS AB BC CA XY YZ ZX

Geometry Showing That Triangles Are Similar AB C X Y Z Similar triangles are the same shape but different sizes. Side-Angle-Side SAS AB BC XY YZ