We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byRobert Robertson
Modified over 3 years ago
GT Geometry 3/2/11 Turn in CW/HW from yesterday by the time the bell rings. Pick up a ditto and complete 1-6
#3.16 Geo. Drill 3/2/11 Given that the following two pentagons are similar, find x. x 4 6 7 5 12 8 4 14 10
Geometry Drill Can you list the 5 ways to prove triangles congruent
Objective Students will use the AA, SAS and SSS similarity postulates to decide which triangles are similar and find unknowns.
Congruence vs. Similarity Congruence implies that all angles and sides have equal measure whereas...
Congruence vs. Similarity Similarity implies that only the angles are of equal measure and the sides are proportional
AA Similarity Postulate Two triangles are similar if two pairs of corresponding angles are congruent
AA Similarity Postulate A B C D E F
SAS Similarity Postulate Two triangles are similar if two pairs of corresponding sides are proportional and the included angles are congruent
SAS Similarity Postulate A B C D E F 4 6 8 12
SSS Similarity Postulate Two triangles are similar if all three pairs of corresponding sides are proportional.
SSS Similarity Postulate A B C D E F 7 21 9 27 13 39
Example 1 APE ~ DOG. If the perimeter of APE is 12 and the perimeter of DOG is 15 and OG=6, find the PE.
Conclusion Congruence vs. Similarity AA SAS SSS
Classwork/Homework Page 433-434 5-19 skip 10, 11.
Warm UP x Given that the following two pentagons are similar, find x.
Drill Write your homework in your planner Take out your homework Find all angle measures:
CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
Date: Topic: Proving Triangles Similar (7.6) Warm-up: Find the similarity ratio, x, and y. The triangles are similar. 6 7 The similarity ratio is: Find.
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
Lesson: 9 – 3 Similar Triangles
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.
Proving Triangles are Congruent: SSS and SAS Sec 4.3
Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.
S ECTIONS 6.4 & 6.5 – P ROVING S IMILAR T RIANGLES HW #27 Pg. 384 #10, 12, 14, 16, 20 Pg. 392 #6, 28.
4-4 & 4-5: Tests for Congruent Triangles
7-3 Proving Triangles Similar
Honors Geometry Section 8.3 Similarity Postulates and Theorems.
Students will apply the SSS & SAS Similarity Theorems to determine similarity in triangles. Why? So you can show that triangles are similar, as seen.
8-3 Proving Triangles Similar M11.C B
4-5 Warm Up Lesson Presentation Lesson Quiz
CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,
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.
ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.
Thursday, January 10, 2013 A B C D H Y P E. Homework Check.
4-2 Triangle Congruence by SSS and SAS
Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.
Proving Triangles Congruent
Using Proportions to Solve Geometry Problems Section 6.3.
Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.
(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.
Bellwork Determine whether the two triangles are similar Determine whether the two triangles are similar Set 1 Set 1 ΔABC: m A=90 o, m B=44 o ΔABC:
G.7 Proving Triangles Similar
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
The product of the means equals the product of the extremes.
Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Similarity in Triangles. Similar Definition: In mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure)
Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.
WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
Mrs. Rivas ∠
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.
Triangle Congruence by ASA and AAS Chapter 4 Section 3.
Question about homework? Any questions on the homework? (choose random problems)
Warm Up For both right triangles, find the value of x. x x
Test For Congruent Triangles. Test 1 3 cm 4 cm 3 cm Given three sides : SSS Two triangles are congruent if the three sides of one triangle are equal to.
Objectives Prove that two triangles are similar using AA, SAS, and SSS.
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
Proving Triangles Congruent: SSS and SAS
© 2017 SlidePlayer.com Inc. All rights reserved.