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Geometry 5.1 Name That Triangle!
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Why do you think road signs tend to be different? Would it matter if the signs were irregular? Does the shape make it easier to recognize?
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5.1 Classifying Triangles on the Coordinate Plane Objectives Determine the coordinates of a third vertex of a triangle, given the coordinates of two vertices and a description of the triangle Classify a triangle given the locations of its vertices on a coordinate plane
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First: Some Review Ideas What does it mean for a triangle to be a Right Triangle? The triangle has 1 right angle (the other two are acute) What does it mean for a triangle to be an Acute Triangle? The triangle has 1 acute angle (the other two are acute) What does it mean for a triangle to be an Obtuse Triangle? The triangle has 1 obtuse angle (the other two are acute)
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First: Some Review Ideas What does it mean for a triangle to be a Scalene Triangle? No sides are congruent What does it mean for a triangle to be an Isosceles Triangle? The triangle has at least 2 sides congruent What does it mean for a triangle to be an Equilateral Triangle? All sides are congruent
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Problem 1 Location, Location, Location! Collaborate 1-3 (7 Minutes)
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Problem 1 Location, Location, Location! #2 a: Right Triangle (-2, 7)(-10, 7) (-2, 3) (-10, 3)
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Problem 1 Location, Location, Location! #2 b: Acute Triangle There are many solutions In Circle A, the y- value must be below y=7 In Circle B, the y- value must be above y=3
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Problem 1 Location, Location, Location! #2 c: Obtuse Triangle There are many solutions In Circle A, the y- value must be above y=7 In Circle B, the y- value must be below y=3
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Problem 1 Location, Location, Location! #3 a: Equilateral Triangle The point of intersection between the circles is the same distance from both centers
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Problem 1 Location, Location, Location! #3 b: Isosceles Triangle There are many solutions We just need two sides congruent
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Problem 1 Location, Location, Location! #3 c: Scalene Triangle We just need no sides congruent Cannot have a scalene triangle because at lease two sides are radii of either circle All radii of any circle are congruent
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Problem 2: What’s Your Name Again?
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Pythagorean Theorem Hint We can tell what type of triangle, using angles, by the relationship of the sides.
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Formative Assessment Skills Practice 5.1 Pg. 477-482 (7-18)
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