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TODAY IN GEOMETRY… Group POP QUIZ Learning Target 1: 5.1 Use properties of mid segments of triangles to calculate lengths of sides Learning Target 2: 5.5 You will find possible lengths for a triangle Independent Practice HW ALL DUE FRIDAY!
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POP QUIZ: You have 20 minutes to complete the warm up. Once completed turn in into the TURN IN BOX!20 minutes
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MIDSEGMENT THEOREM: The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
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Notice that you need three different variables.
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HOMEWORK #1: Page 298: 3-15, 24-27
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Triangle inequalities: The longest side of a triangle is opposite the largest angle. The smallest side of a triangle is opposite the smallest angle.
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TRIANGLE INEQUALITY THEOREM: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
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PRACTICE: A triangle has one side of length 12 and another of length 8. Describe all possible lengths of the third side. Find the range of values that the missing side can be: 1. Smallest value of the missing side can be found by subtracting the two given sides. 2. Greatest value of the missing side can be found by adding the two given sides.
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1. Smallest possible value can be found by subtracting the two largest numbers. 2. Greatest possible value can be found by adding the two smallest numbers. YES, IT IS POSSIBLE TO CONSTRUCT THIS TRIANGLE!
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HOMEWORK #2: Pg. 331: 6-13, 16-23, 33 If finished, work on other assignments: HW #1: Pg. 298: 3-15, 24-27 ALL HW DUE FRIDAY!
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