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74 Cards in this Set
- Front
- Back
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______ is defined as the ratio between the circumference and the diameter of a circle.
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pi
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_________(Bisector, Collinear, Concurrent, Corresponding) points lie on the same line.
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Collinear
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_________is the set of all points
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Space
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{rational numbers} union {irrational numbers} =
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real numbers
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A __________ of a polygon is a line that has vertices for endpoints but that is not a side of the polygon
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diagonal
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A ___________ of polygon is an endpoint of a side of the polygon.
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vertex
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A __________separates space into two half-spaces.
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plane
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A ∩ A' =
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empty (or null) set
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A closed curve made of segments
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polygon
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A cube is a regular ________________ (rectangle, polygon, hexahedron, square)
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hexahedron
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A curve that ends at its starting point
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closed
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A curve that is a subset of a circle
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arc
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A line segment with endpoints on a circle
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chord
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A parallelogram with a right angle
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rectangle
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A point divides a line into three disjoint sets, the point and _________.
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2 half lines
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A polygon that is always convex
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triangle
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A polygon that is equilateral but not equiangular
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rhombus
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A polygon with eight sides
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octagon
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A polygon with no diagonals
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triangle
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A line is ___________ to a circle if it intersects the circle in only one point.
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tangent
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A statement accepted as true without proof
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postulate
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A tetrahedron has _________ faces.
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4
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A U A' =
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universal set
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All radii of the same circle are _________.
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congruent
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An angle is a set of points (true or false).
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TRUE
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An angle measuring 180 degrees
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straight
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An angle measuring between 90 and 180 degrees.
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obtuse
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An angle that measures 90 degrees
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right
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An angle with a measure between 0 and 90 degrees
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acute
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An octagon prism is a (decahedron, dodecahedron, hexahedron, oxyhedron)
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decahedron
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Any two points in space lie in one and only one __________.
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line
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Are all sides of an isoceles triangle equal?
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no
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Are all squares rectangles?
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yes
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Are all squares rhombi?
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yes
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Are regular polygons concave?
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no
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Can an equilateral triangle contain an obtuse angle
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no
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Four noncollinear points always determine _________.
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(nothing in particular)
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Geometry is an abstract model of _____________________________.
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our orderly physical universe
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Ideally a set of postulates should be ____________, ______________, and _____________.
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independent, consistent, complete
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If a > 0, then |a| = a, but if a < 0, then |a| = -a.
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FALSE
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If A is between B and C, and AB = CA if and only if _____________
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A is the midpoint
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If P-D-F, then then D is ___________P and F.
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bewtween
(PF = FP + DP) |
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If R is the midpoint of of MA, the formula for the midpoint is ___________.
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r = (m+a)/2
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If the radius of a circle is 4, what is the circumference?
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8π
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If two angles are a linear pair are they supplementary angles?
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yes
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If X is in the interior of ABC, and mABX = mCBX, then BX is the ______ of ABC (ABC, ABX, CBX are angles, m means measure).
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bisector
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Is a rhombus a regular triangle?
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no
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Lines that intersect and form an angle measuring 90 degrees.
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perpendicular
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Lines that intersect in a single point are _________ lines.
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concurrent
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One radius is equal to ____ diameter.
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1/2
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Perpendicular lines form ___________ angles
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right
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Pi and the square root of 2 are ____________ numbers (integer, rational, irrational, imaginary)
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irrational
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Planes in space that do not intersect are ___________planes.
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parallel
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The intersection of two disjoint sets
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empty (or null) set
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The intersection of two distinct planes
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line
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The number of bases in a triangular pyramid
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one
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The opposite angles of two intersecting lines
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vertical angles
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The parallel sides of a trapezoid
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bases
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The set of points in a plane that are a given distance from a point
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circle
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The side opposite the right angle in a right triangle
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hypotenuse
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The sum of the lengths of the sides of a polygon
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perimeter
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The symbol for half-line EP is ____
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EP (with o– above it)
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The three undefined terms are
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point, line, and plane
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The union of three noncollinear points and the line segments connecting them
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triangle
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The union of two coplanar half-planes and their common edge.
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plane
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The union of two distinct rays with a common endpoint
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angle
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Two adjacent angles that are supplementary
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linear pair
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Two angles whose measures have a sum of 90 degrees
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complementary
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Two interesecting lines are contained in one and only one __________.
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plane
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When two lines intersect, they intersect in one and only one ____________.
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point
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Which is a regular polygon (pentagon, octagon, square, triangle, none of these)?
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square
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Which is not a polyhedron? (pyramid, cube, prism, cone, none of these)
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cone
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Which of the following is not a polygon? rectangle, base of a pyramid, base of a cone, triangle)
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base of a cone (a circle)
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Who systematized geometry around 300 B.C.
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Euclid
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