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43 Cards in this Set
- Front
- Back
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Adjacent angles
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Coplanar angles with a common side, a common vertex, and no common interior points
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Linear Pair
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Adjacent angles with non common sides as opposite rays
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Biconditional
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If and only if
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Collinear points
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Points that lie on the same line
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Coplanar
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Points and lines in the same plane
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Midpoint formula
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X1+X2/2 & Y1+Y2/2
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Distance formula
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Square root of (x2-x1)^2+(y1-y2)^2
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Formula for area of a triangle
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1/2bh
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Formula for circumference of a circle
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piD or 2PiR
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Formula for area of a circle
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PiR^2
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Converse
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(q-p)
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Inverse
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(~p-~q)
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Contra positive
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(~q-~p)
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Law of detachment
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If p-q is true, then q is true.
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Law of syllogism
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If p-q and q-r are true, then p-r is true
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If two parallel lines are cut by a transversal, then
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Corresponding angles, alternate interior angles, and alternate exterior angles are congruent.
Same-side interior angles are supplementary. |
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The product of the slopes of two perpendicular lines
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Opposite reciprocals or -1
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Slope intercept form
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y=mx+b
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Point-slope form
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y-y1=m(x-x1)
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CPCTC
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Corresponding parts of congruent triangles are congruent
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Isosceles triangle theorem
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If two sides of a triangle are congruent, then the angles opposite those sides are also congruent
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Concurrent
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Where three or more lines intersect in one point
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Circumcenter
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Point of concurrency of the perpendicular bisectors in a triangle
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Incenter
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Point of concurrency of the angle bisectors of a triangle
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Median
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A segment from a vertex to the midpoint of the opposite side
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Altitude
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A perpendicular segment from a vertex to the line containing the opposite side
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Centroid
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Point of concurrency of the medians of a triangle
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Orthocenter
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Point of concurrency of the altitudes of a triangle
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Midsegment of a triangle
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A segment that connects the midpoints of two sides
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Perpendicular bisector theorem
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P is equidistant from A and B if and only if P is on the perpendicular bisector of line AB
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Angle bisector theorem
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P is equidistant from the sides of an angle if and only if P is on the angle bisector
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Hinge theorem
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If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle
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Rhombus
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A parallelogram with four congruent sides
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Rectangle
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A parallelogram with four right angles
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Square
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A parallelogram with four congruent sides and four right angles
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Trapezoid
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Its parallel sides are its bases and the nonparallel sides are its legs
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Kite
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Diagonals are perpendicular
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Formula for finding the measures of the interior angles of a n-gon
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(n-2)180
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Formula to find the measure of one interior angles of a regular n-gon
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(n-2)180/2
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Quadrilateral is a parallelogram if
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Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent Consecutive angles are supplementary Both pairs of opposite angles are congruent Diagonals bisect each other One pair of opposite sides is both congruent and parallel |
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If one diagonal of a parallelogram bisects two angles of the parallelogram, then it is a:
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Rhombus
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If the diagonals of a parallelogram are perpendicular, then it is a:
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Rhombus
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If the diagonals of a parallelogram are congruent, then the parallelogram is a:
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Rectangle
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