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Bellringer 3. slope 1/3 , y-intercept 2 1. 4. 2. (2, 3), (1, 6)
Find the slope going through the points. Use the given information to write an equation for each line. 3. slope 1/3 , y-intercept 2 4. 1. 2. (2, 3), (1, 6)
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Parallel Lines and Triangles
Course: Geometry pre-IB Quarter: 2nd Objective: To use parallel lines to prove a theorem about triangles. To find measures of angles of triangles. SSS: MA.912.G.2.2; MA.912.G.8.5
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Classification by Sides
Equilateral Triangle Isosceles Triangle 3 congruent sides 2 congruent sides Scalene Triangle No congruent sides
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Classification by Angles
Acute Triangle Equiangular Triangle 3 acute angles 3 congruent angles Right Triangle Obtuse Triangle 1 right angle 1 obtuse angle
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Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. There is exactly one line through P parallel to m.
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Triangle Angle-Sum Theorem
The sum of the measures of the angles of a triangle is 180.
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Using the Triangle Angle-Sum Theorem
What are the values of x, y, and z?
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Solve for x, y, and z.
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Solve for x.
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Find the measure of angle A.
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Angles in Triangles An exterior angle is formed by a side and an extension of an adjacent side. For each exterior angle of a triangle, the two nonadjacent interior angles are its remote interior angles. Triangle Exterior Angle Theorem: The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. m1 = m2 + m3
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Using the Triangle Exterior Angle Theorem
What is the measure of 1? What is the measure of 2?
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Find the measures of angles 1 and 2.
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Find x and the angle measure.
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Two angles of a triangle measure 53
Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?
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