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74 Cards in this Set

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