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7.3 Activity: Discovering A Similarity Postulate. Draw triangle ABC with m<A = 60 and m<B = 40 Draw another triangle DEF with m<D =60 and m<E = 40, and DE > AB. Copy and complete the chart below:. Warm-up. How many of your brackets are busted?. Today Warm-up Discuss quiz
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7.3 Activity: Discovering A Similarity Postulate • Draw triangle ABC with m<A = 60 and m<B = 40 • Draw another triangle DEF with m<D =60 and m<E = 40, and DE > AB. • Copy and complete the chart below:
Warm-up • How many of your brackets are busted? Today Warm-up Discuss quiz Objective Guided notes Example problems “Have more than you show, speak less than you know.” –William Shakespeare, King Lear
Chapter 7 7.3-7.4 Similar Polygons Obj: _______________________ ____________________________
Angle-Angle (AA) Similarity Postulate • If the angles of one triangle are congruent to the angles of a second triangle, then the triangles are similar. If <K = <Y and <J = <X Then, KLJ ~ YZX K Y X Z J L
USING SIMILARITY THEOREMS THEOREMS P A AB PQ BC QR CA RP Q R If = = B C THEOREM 8.2 Side-Side-Side (SSS) Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. then ABC ~ PQR.
Warm-up • Have your notes out and ready to go. • Grades are up to date on HAC make sure you have everything turned in. Today Warm-up Guided notes Homework problems “Have more than you show, speak less than you know.” –William Shakespeare, King Lear
USING SIMILARITY THEOREMS THEOREMS X M P N Z Y XY MN ZX PM If XM and= THEOREM 8.3 Side-Angle-Side (SAS) Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. then XYZ ~ MNP.