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Warm UP x Given that the following two pentagons are similar, find x.8 12 x 4 14 4 5 6 7 10
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. SimilarityThe match of the century! Who will win?
Congruence vs. SimilarityCongruence implies that all angles and sides are equal/identical whereas...
Congruence vs. SimilaritySimilarity implies that only the angles are congruent and the sides are proportional
Congruence vs. SimilarityWhat 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 PostulateTwo triangles are similar if all three pairs of corresponding sides are proportional.
SSS Similarity PostulateB 21 13 9 27 C 7 A D 39 F
SSS Similarity Postulate∆ABC ~ ∆EDF
SAS Similarity PostulateTwo triangles are similar if two pairs of corresponding sides are proportional and the included angle is congruent
SAS Similarity PostulateB 12 8 C 4 A D 6 F
SAS Similarity Postulate∆ABC ~ ∆FED
AAA Similarity PostulateTwo triangles are similar if two pairs of corresponding angles are congruent
AA Similarity PostulateB C A D F
AA Similarity Postulate∆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.
Objectives Prove that two triangles are similar using AA, SAS, and SSS.
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.
Proving Triangles Congruent
5.4 Hypotenuse – Leg Congruence Theorem: HL
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.
Hypotenuse – Leg Congruence Theorem: HL
CCGPS Analytic Geometry
Blue – 3/9/2015 Gold – 3/10/2015. Last 2 classes, we talked about 3 ways we can determine triangle congruence. CPCTC – All 3 sides and 3 angles of.
Triangle Congruence Theorems
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
Proving RightTriangles Congruent Free powerpoints at
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: Tests for Congruent Triangles
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
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)
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.
Mrs. Rivas ∠
Congruent Triangles. Standard 25: Identify interior and exterior angles of a triangle and identify the relationships between them. Standard 26: Utilize.
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