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Warm-up with 4.3 Notes on Triangle Inequalities 1)Using your ruler and protractor try to draw an isosceles triangle. 2)Mark the congruent sides and angles. 3) Construct medians on the congruent sides. 4) Label the point where the medians intersect as Point P.
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Student of the day! Block 4
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Student of the day! Block 5
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Student of the day! Block 6
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Answers to Geometry H.W. pg. 151 #1,2 and 4
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Answers to pg. 208 – 209 #2-14 all #s
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Remaining H.W. Answers
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Problem #10
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Problem # 11
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3.3 Constructing Perpendicular Lines with 4.3 Notes on Triangle Inequalities Construct a perpendicular line through point P to line AB. Notice your perpendicular line. C-7 The shortest distance from a point to a line is along the _____ from the point to the line.
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Constructing an altitude on a triangle.
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4.4 Triangle Inequalities Use your ruler to draw a triangle with side lengths of 3 cm, 4 cm and 5 cm. Measure the angles across the sides. Do you notice the relationship between the side lengths and the angle measures across from them?
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Triangle Inequality Conjecture Now use your rule to create a triangle that has side lengths 3cm, 4cm and 7cm. Can you create a triangle with 2cm, 3 cm, and 5 cm?
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External Angle Conjecture C-20 Triangle Inequality Conjecture – The sum of the lengths of any two sides of a triangle is ____________ the length of the third side.
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More Conjectures C-21 Side-Angle Inequality Conjecture – In a triangle, if one side is longer than another side, than the angle opposite the longer side is _____________. C-22 Triangle Exterior Angle Conjecture – The measure of the exterior angle of a triangle ___________________.
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Geometry Homework -3.3 pg 156 # 1- 5 -4.3 pg 218 – 219 #1 – 10 all Remember!!! On Thursday be prepared to have a quiz on constructions 3.1 to 3.3 and on notes 4.1 to 4.3. Look at Practice Your Skills on Keymath.com for Discovery Geometry Book.
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Common Test mistakes In your conjectures from Ch.1; you had C-4 Converse of Parallel Lines Conjecture: If two lines are cut by a transversal and the corresponding, …, then the lines are congruent. Form A: If two polygons are congruent, then they have the same number of sides. Converse: If two polygons have the same number of sides, then they are congruent. Form B: If two lines are parallel, then they have the same slope. Converse: If two lines have the same slope, then they are parallel.
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