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Warm UP Given that the following two pentagons are similar, find x. x
Objective SWBAT use the AAA, SAS and SSS similarity postulates to decide which triangles are similar and find unknowns.
Homework P. 433 – 434: # 5 – 9, 12 – 19
Congruence vs. Similarity The match of the century! Who will win?
Congruence vs. Similarity Congruence implies that all angles and sides are equal/identical whereas...
Congruence vs. Similarity Similarity implies that only the angles are congruent and the sides are proportional
Congruence vs. Similarity What can be congruent? What can be similar?
Back to Triangles Since we talked about congruent triangles so much, we should mention similar triangles.
Back to Triangles How could triangles be congruent? SSS SAS ASA AAS HL
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
SSS Similarity Postulate ABC ~ EDF
SAS Similarity Postulate Two triangles are similar if two pairs of corresponding sides are proportional and the included angle is congruent
SAS Similarity Postulate A B C D E F
SAS Similarity Postulate ABC ~ FED
AAA Similarity Postulate Two triangles are similar if two pairs of corresponding angles are congruent
AA Similarity Postulate A B C D E F
ABC ~ FED
Example 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 AAA~ SAS~ SSS~
Practice 10-2 Answer Example sets 2 and 3. Be sure to include the similarity statement.
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.
Hypotenuse – Leg Congruence Theorem: HL. Hypotenuse-Leg Theorem (HL) If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and.
1 Objectives Prove that two triangles are similar using AA, SAS, and SSS.
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.
Sec 6-3 to 6-5 Concept: Use Similar Polygons Objective: given 2 polygons, determine if they are similar and solve problems as measured by a s.g.
4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates.
3.8 The HL Postulate Objective: After studying this lesson you will be able to use the HL postulate to prove right triangles congruent.
G.7 Proving Triangles Similar (AA~, SSS ~, SAS ~ )
Unit 1 1 CCGPS Analytic Geometry Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
4.5 Proving Δs are : ASA and AAS & HL. Objectives: Use the ASA Postulate to prove triangles congruentUse the ASA Postulate to prove triangles congruent.
Bellringer If P is the centroid, solve for x, y and z if CD =24. x A B C D E F 4y-2 P 2x-4 10 z.
Proving Triangles Congruent. Angle-Side- Angle (ASA) 1. A D 2. AB DE 3. B E ABC DEF B A C E D F included side.
40 x 4x – 20 Solve. Warm up 1. 2y + 28 3y – 14°
Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL 4-7 Triangle Congruence: ASA, AAS, and HL Holt Geometry Section 4.7 Section 4.7 Holt McDougal.
Mr. Kruczinski. What are the properties of similar polygons? They have congruent angles. Their sides are proportional We can find missing measurement.
4-5 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL 4-5 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Examine each statement. Determine whether it is true or false. If false, explain why. 1.If an animal is a bird, then it is a penguin. 2.If it rains, then.
CHAPTER 8: Sections By: THE A SQUAD (Annie and Andrew)
Benchmark 21 I can identify congruency theorems, SSS, SAS, ASA, AAS, and HL in diagrams.
Proving Triangles Congruent Free powerpoints at
4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem.
1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.
Bellringer Find the area and perimeter of the figure. 6m 10m.
4.6 Congruence in Right Triangles I can prove triangles congruent by using Hypotenuse – Leg Theorem. Success Criteria: Prove triangles congruent by hypotenuse.
Chapter 4a: Congruent Triangles By: Nate Hungate, Gary Russell, J.P. Lawrence, Kyle Stegman.
Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL 4-6 Triangle Congruence: ASA, AAS, and HL Holt Geometry Warm Up Warm Up Lesson Presentation.
Bell Work Wednesday, August 7, 2013 List two acts that will results in a student having a teacher conference.
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