10 April 2011 Geometry Homework Due TODAY- please check DO investigation 1, page 377 Do page 380: 1 – 6 Homework due FRIDAY pg. 591: 1-15 odd pg. 599:

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Presentation transcript:

10 April 2011 Geometry Homework Due TODAY- please check DO investigation 1, page 377 Do page 380: 1 – 6 Homework due FRIDAY pg. 591: 1-15 odd pg. 599: 2, 5, 10 2) WARM UP FIND X x

Objective Students will use similar triangle to solove applied problems. Students will take notes, do an investigation and solve problems. Need to take quiz today 3-3:45: P1: Rebecca, Joey, Lauren H, Bryan P6: Zarifa, James, Skyler

NameShortcut AA Similarity Conjecture If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar SSS Similarity Conjecture If the 3 sides of one triangle are proportional to the 3 sides of another triangle, then the two triangles are similar SAS Similarity Conjecture If 2 sides of one triangle are proportional to 2 sides of another triangle and the included angles are congruent, then the triangles are similar

Summary Similarity shortcuts for triangles, like congruence shortcuts, refer to congruence of angles, but unlike congruence shortcuts, the refer to proportionality of sides. SSS, AA (AAA) and SAS are similarity shortcuts, which imply AAS and ASA are also similarity shortcuts because they imply AA.

Are two figures similar? Strategies: 1)Color code corresponding angles and sides 2)Re-sketch figures so corresponding parts are oriented in the same directions 3)Use shortcuts to determine similarity: AA, SSS, SAS

pg NOTES Physics principal angle of reflection incoming angle outgoing angle Draw the two triangles. They are similar based on WHAT similarity shortcut?

does it matter how carefully I measure? % error = example-- I measure from my toe instead of a perpendicular height from my eyes…..

Investigation Supplies– each group needs mirror, yardstick, tape measure Your job– use indirect measurement to determine the height of an object in the room EVERY STUDENT needs to complete a write up 1. sketch with all measurements/ calculations 2. measurement of height using a direct method. 3.Compute % error YOU HAVE 15 minutes to complete your work.

debrief 1. How can you use your knowledge of similarity to find the height of a tree in the park? 2. Why is it important to measure carefully? 3. Do pg. 599, 1, 3, 4 and 7