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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 halfspaces.

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 PDF, 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?

8π

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 halfline 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 halfplanes 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
