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Chapter 3
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Name the following angles: 5 6
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Corresponding Angles (corr s )
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If lines are parallel, then corr s are _______
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If lines are parallel, then corr s are congruent: ( (
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Name the following angles: 1 2
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Alternate Interior Angles (alt-int s )
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If lines are parallel then alt-int s are ________
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If lines are parallel then alt-int s are congruent: ) (
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Name the following angles: 1 2
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Same-Side Interior Angles (s-s int s )
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If lines are parallel then s-s int s are _________
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If lines are parallel then con-int s are supplements: 1 2 m 1 + m 2 = 180 0
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A(n) __________ triangle has no congruent sides
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A scalene triangle has no congruent sides
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A(n) _________ triangle has at least 2 congruent sides.
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An isosceles triangle has at least 2 congruent sides.
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The congruent sides of an isosceles triangle are called _________.
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The congruent sides of an isosceles triangle are called legs.
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A(n) __________ triangle has 3 congruent sides
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An equilateral triangle has 3 congruent sides
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A(n) __________ triangle has 3 angles less than 90 0
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An acute triangle has 3 angles less than 90 0
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always, sometimes or never? An equilateral triangle is __________ an isosceles triangle
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An equilateral triangle is always an isosceles triangle
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always, sometimes or never? An isosceles triangle is ________ an equilateral triangle
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An isosceles triangle is sometimes an equilateral triangle
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Name the sides:
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leg hypotenuse
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The sum of the interior angles of ANY triangle = ________ 0
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The sum of the interior angles of ANY triangle = 180 0 1 2 3 m 1 + m 2 + m 3 = 180 0
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m 4 = ______ + _______ 1 2 34
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m 4 = m 1 + m 2 1206040 80
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Is the following polygon convex or concave?
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concave
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Always, sometimes or never? 1. A triangle is ___________ convex. 2. A quadrilateral is __________ convex.
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1. A triangle is always convex. 2. A quadrilateral is sometimes convex:
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Number of SidesName of Polygon 3 4 5 6 8
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Number of SidesName of Polygon 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 8 Octagon
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A regular polygon is _________ and ___________.
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A regular polygon is equilateral and equiangular
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The INTERIOR angles of a convex polygon total ________.
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The INTERIOR angles of a convex polygon total (n – 2)180 number of sides
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The EXTERIOR angles of a convex polygon total ________ 0
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The EXTERIOR angles of a convex polygon total 360 0
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Find the slope using the Slope Formula: A (x 1, y 1 ) B (x 2, y 2 )
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y 1 – y 2 rise x 1 – x 2 run Slope (m) =
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State the slope: y = 1/3x + 4
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Slope = 1/3
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Parallel lines have the _______ slope.
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Parallel lines have the same slope.
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The slope of horizontal lines is ___________
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The slope of horizontal lines is 0: rise run == 0 0 )( Slope
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The slope of vertical lines is ________________
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The slope of vertical lines is undefined: rise run = undefined )( Slope = 0
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The slopes of perpendicular lines are _______________.
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The slopes of perpendicular lines are opposite reciprocals. (Ex 4/5 and –5/4)
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Graph y = 2/3x - 1
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x y..
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Find the slope and y-intercept: 4x – 5y = 20
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4x – 5y = 20 -5y = -4x + 20 y = 4/5x - 4 slopey-intercept
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Write the equation of a line with slope 2/3 and passing through (-1, 4)
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y – y 1 = m (x – x 1 ) y – 4 = 2/3 (x + 1) y – 4 = 2/3x + 2/3 3y – 12 = 2x + 2 2x – 3y = -14 Standard Form
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Chapter 3 Constructions 1.Construct a perpendicular through a point on a line 2.Construct a perpendicular through a point NOT on a line 3.Construct a parallel through a point not on a line
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