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Modified over 4 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.
Objectives Prove that two triangles are similar using AA, SAS, and SSS.
Warm UP x Given that the following two pentagons are similar, find x.
Concept: Use Similar Polygons
Bellwork Do the following problem on a ½ sheet of paper and turn in.
Proving Triangles Congruent
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.
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.
G.7 Proving Triangles Similar
4-2 Triangle Congruence by SSS and SAS
Hypotenuse – Leg Congruence Theorem: HL
Addition 1’s to 20.
4-5 Warm Up Lesson Presentation Lesson Quiz
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:
Geometry 7.4 AA Similarity Postulate. An Experiment Draw any two segments AB and CD. Draw any angle at A and a congruent angle at C. Draw any angle at.
Proving Triangles Congruent: SSS and SAS
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
But first a little warm up… How much do you need to know? To prove two triangles are exactly alike? (congruent) If all 6 parts (3 corresponding sides.
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
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