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Point – a location, has no size, name point by capital letter Line – series of points that extend in opposite directions without end Ray – part of a line with one endpoint and all the points of the line on one side of the endpoint Segment – part of a line with two endpoints and all points in between.
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Plane – Flat surface that extends indefinitely in all directions and has no thickness Intersecting Lines – have exactly one point in common Parallel Lines – lines in the same plane that never intersect Skew Lines – lie in different planes, they are neither parallel or intersecting
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Name segments that fit description. 1) parallel to BC 2)intersect BH 3)skew to AG
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Name segments that fit description. 1) parallel to BC- HD 2)intersect BH – AB, BC 3)skew to AG – BC, HD
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Angle – figure formed by two rays with a common endpoint Vertex – point of intersection of two sides of an angle or figure
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Classify angles by their measures:
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Complementary angles – sum of the measures of two angles is 90° Supplementary angles – sum of the measures of two angles is 180° 1)Find complement of m<G = 79° 2)Find supplement of m<G = 12° 3)Find complement of m<G = 75.1° 4)Find supplement of m<G = 82.2°
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Complementary angles – sum of the measures of two angles is 90° Supplementary angles – sum of the measures of two angles is 180° 1)Find complement of m<G = 79° 11° 2)Find supplement of m<G = 12° 168° 3)Find complement of m<G = 75.1° 14.9° 4)Find supplement of m<G = 82.2° 97.8°
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Adjacent angles – share a vertex and a side. They are side by side. Vertical angles – formed by two intersecting lines and are opposite each other Congruent – same size and shape
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Right angle Obtuse angle Acute angle Straight angleAcute angleRight angle
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1) two lines 2)Three segments 3)Pair of congruent angles 1)Four right angles 2)Two pairs of obtuse vertical angles 3)Two pairs of adjacent supplementary angles
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1) two lines XU, ST, XP 2)Three segments XN, XP, QN 3)Pair of congruent angles <VXW and <UXP 1)Four right angLes <QNT, <SNQ, <SNY, <YNT 2)Two pairs of obtuse vertical angles <MSW AND <UST ; <SXP AND <VXW 3)Two pairs of adjacent supplementary angles <MSX AND <MSU; <MSX AND <XST
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Classifying Triangles by Sides:
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Classifying Triangles by angle measures:
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Obtuse scalene right isosceles acute isosceles
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Classifying Triangles by angle measures:
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isoseles right equilateral obutseacute right
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Angle Sum of a Triangle: - Sum of the measures of the angles of any triangle is 180° - All angles add up to 180° inside a triangle.
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Angle Sum of a Triangle: - Sum of the measures of the angles of any triangle is 180° - All angles add up to 180° inside a triangle. 80° 64° 40°
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Regular polygon – a polygon with all sides congruent and all angles congruent Irregular polygon – a polygon with sides that are not all congruent or angles that are not all congruent
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Trapezoid – one pair of parallel sides Parallelogram – both pairs of opposite sides parallel Rectangle – 4 right angles Rhombus – 4 congruent sides Square – 4 right angle angles and 4 congruent sides
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hexagon, regular pentagon, irregular Pentagon, regular parallelogram, irregular quadrilateral, irregular
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Congruent Polygons – are polygons with the same size and same shape. Name corresponding parts.
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Congruent Polygons – are polygons with the same size and same shape. Name corresponding parts.
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QR <RYW<X
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Not congruent, because corresponding angles and sides are not congruent. Congruent, because corresponding angles and sides are congruent.
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Circle – set of points in a plane that are all the same distance from a given point. Radius – segment that connects the center of a circle to circle. Chord – segment that has both endpoints on the circle. Diameter – chord that passes through the center of the circle; longest chord Central Angle – angle with a vertex at the center of the circle Arc – part of a circle Semicircle – is half a circle
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Identify radius, chord, diameter, central angle, and arc.
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FG, EF<FDG, <GDH FHTriangle FDG Arcs, FG, FGH, GH, HE, GHEFH 90°
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Circle graph – graph of data in which a circle represents the whole. Total must be = to 100% Finding central angles:
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48 75 ° 60 ° 120 ° 105 ° 360° 20.8% 16.7% 33.3% 100% 29.2%
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sleeping 12.5% About 8 hours
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