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51 Cards in this Set
- Front
- Back
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Equilateral
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All sides are the same length
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Isosceles
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Two or more sides are the same length
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Scalene
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All sides are of different lengths
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Obtuse Angle
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An angle whose measure is greater than 90 degrees and less than 180 degrees.
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Acute Angle
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An angle whose measure is greater than 0 degrees and less than 90 degrees.
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Quadrilateral
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4 sides
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Pentagon
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5 sides
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Hexagon
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6 sides
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Heptagon
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7 sides
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Octagon
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8 sides
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Nonagon
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9 sides
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Decagon
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10 sides
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Dodecagon
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12 sides
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Sum of the Angle Measures of a Triangle
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m(∠A) + m(∠B) + m(∠C) = 180 degrees
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Formula for how many triangles a shape can be divided into
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Each shape has n sides; each shape can be divided into n-2 triangles
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Figuring the sum of angles of shapes other than triangles
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where n= # of sides; (n - 2) • 180 degrees
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Area of a Parallelogram (formula)
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B=Base; (B • H)²
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Area of a Triangle (formula)
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0.5 • B • W
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Trapezoid
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A polygon with four sides, two of which, the bases, are parallel to each other.
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Area of a Trapezoid (formula)
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0.5 • h • (a + b)
a = length of top line b = base |
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Angle
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A set of points consisting of two rays.
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Diameter
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A line through the middle of a circle.
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Radius (definition)
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A segment with one endpoint on the center and the other endpoint on the circle.
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Diameter (formula)
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d = 2 • r
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Radius (formula)
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r = d ÷ 2
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Circumference
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The distance around a circle.
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Circumference (formula)
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C = π • d
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π
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pi; 3.14; 22/7
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Area of a Circle (formula)
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A = π • r²
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Volume of a Cubes & Rectangles (formula)
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V = l • w • h
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Volume of a Circular Cylinder (formula)
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V = π • r² • h
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Volume of a Sphere (formula)
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V = 4/3 • π • r³
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Volume of a Circular Cone (formula)
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V = ⅓ • π • r² • h
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Volume of a Pyramid (formula)
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V = 1/3 • b • h
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Volume of a Prism (formula)
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V = b * h
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What is True of Complimentary Angles
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• The sum of two angles measurement is 90°.
• Each angle is acute. • If adjacent to each other, they form a right angle. |
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What is True of Supplementary Angles
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• The sum of the two angles is 180°.
• When the supplementary angles are adjacent, they form a straight line. |
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What is True of Congruent Segments
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• Have the same size and shape.
• Have the same measurement. • Fit together exactly. |
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≅
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Congruent
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What is True of Vertical Angles
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• Two non-straight angles.
• Their sides form two pairs of opposite rays. • Are congruent. • Are supplements of the same angle. |
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What is True of Transversal Lines
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• A line intersects two or more coplanar lines in different points.
• Eight angles are formed. |
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What Is True If a Transvergal Line Intersects Two Parallel Lines
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• The corresponding angles are congruent.
• The alternate interior angles are congruent. • The interior angles on the same side of the transversal are supplementary. |
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What is True of Congruent Triangles?
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• Their vertices must be matched so that the corresponding angles and sides are congruent.
• The corresponding sides and angles are called corresponding parts of congruent triangles. |
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Corresponding Angle (definition)
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Formed when a transversal line crosses two parallel lines.
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SSS Congruent Triangles (def)
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• Side-Side-Side
• Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other. |
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SAS Congruent Triangles (def)
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• Side-Angle-Side
• Triangles are congruent if any pair of corresponding sides and their included angle are equal in both triangles. |
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ASA Congruent Triangles (def)
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• Angle-Side-Angle
• If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. |
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What is true of Similar Figures?
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• Have the same shape
• Do not necessarily have the same size |
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What is true of Similar Triangles
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Their vertices can be matched so that the corresponding angles are congruent and the lengths of corresponding sides proportional.
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~
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Similar
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Formula to find lengths of sides in similar triangles
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