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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
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
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
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 skip 10, 11.
Warm UP Given that the following two pentagons are similar, find x. 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)
Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for 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 GOAL: To prove triangles are congruent by using the SSS and SAS Congruence Postulates.
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 Objective: Use SSS, SAS, ASA & AAS to prove triangle congruence.
7-3 Proving Triangles Similar Objective To use the AA ~ Postulate and the SAS ~ and SSS ~ Theorems To use similarity to find indirect measurements.
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 Objectives: 1) To use and apply AA, SAS and SSS similarity statements.
Holt Geometry 4-5 Triangle Congruence: ASA and AAS 4-5 Triangle Congruence: ASA and AAS Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
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 Objective: to prove two triangles congruent using the SSS and SAS Postulates.
Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.
Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
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 (AA~, SSS ~, SAS ~ )
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)
Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent.
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 Lesson 4-1. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. Yes; corresponding sides and corresponding.
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.
WEEK 1 You have 10 seconds to name…
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.
1 Objectives Prove that two triangles are similar using AA, SAS, and SSS.
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
GEOMETRY – SECTION 4.3 Proving Triangles Congruent: SSS and SAS.
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