test 1 Flashcards

1
Q

Intersects a segment, line, or angle such that the two consequence parts are equal

A

bisector

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2
Q

Union of three non-collinear points together with segments that join them

A

triangle

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3
Q

Points that are all on the same line

A

collinear points

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4
Q

The union of two rays with a common endpoint

A

angle

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5
Q

Triangle such that all sides are equal

A

equilateral triangle

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6
Q

Triangle such that no two sides are equal

A

scalene triangle

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7
Q

Triangle such that exactly one angle is greater than 90 degrees

A

obtuse triangle

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8
Q

Triangle such that all angles are less than 90 degrees

A

acute triangle

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9
Q

Triangle such that one angle measures 90 degrees

A

right triangle

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10
Q

Collection of points in a straight path that continues in both directions indefinitely

A

line

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11
Q

A piece of a line with two endpoints

A

line segment

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12
Q

A quadrilateral with exactly one pair of parallel sides

A

trapezoid

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13
Q

Quadrilateral in which opposite sides are parallel

A

parallelogram

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14
Q

A parallelogram with adjacent sides equal

A

rhombus

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15
Q

A parallelogram that contains a right angle

A

rectangle

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16
Q

Rectangle with adjacent sides of equal length

A

square

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17
Q

A four sided polygon

A

quadrilateral

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18
Q

Closed geometric figure with 3 or more straight sides

A

polygon

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19
Q

All sides are of equal length

A

regular polygon

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20
Q

A common endpoint of two segments or rays

A

vertex

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21
Q

A sentence that contains a variable; when the variable is given value, then it is either true or false

A

open statement

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22
Q

A sentence that is either true or false

A

closed statement

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23
Q

To extend under or be opposite to

A

subtended

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24
Q

Line segment with endpoints on the same circle

A

chord

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25
A polygon with all angles less than 180 degrees and outward facing vertices
convex
26
Logical operator denoted by ^
and
27
Logical operator denoted by ∨
or
28
Logical operator denoted by ~
not
29
Educated guess (which can be proven true or false)
conjecture
30
Logical operator that means "implies"
-->
31
The "if" and "then". parts of a statement are switched
converse
32
Both parts of a statement are negated
inverse
33
Both parts of a statement are switched and negated
contrapositive
34
Polygon in which the diagonals do not intersect
concave
35
The exact middle of a line segment
midpoint
36
In a circle or triangle, a set of points whose distance to the center are less than the radius
interior to
37
In a circle or a triangle, a set of points whose distance to the center are more than the radius
exterior to
38
(n-2)*180
sum of interior formula angles
39
Angles that are non-adjacent, on the same side of the transversal, and one is interior while the other is exterior
corresponding angles
40
Share a common vertex and their sides form two lines
vertical angles
41
Same size and shape
congruent
42
Angles on the side of a figure
interior angles
43
Angles on the outside of a figure
exterior angles
44
Valid conjecture
theorem
45
The result of a hypothesis
conclusion
46
Statement assumed to be true conjecture with certain conditions
hypothesis
47
Statements accepted without proof
axiom
48
Making an inference based on premises
deductive reasoning
49
Tool similar to a ruler but has not measurement markings
straightedge
50
Tool that would collapse when lifted from a surface
floppy compass
51
A mathematical text authored by Euclid and his peers; the most widely circulated book about mathematics for 2000 years
elements
52
Objects that are side. by side and have the same distance continuously between them
parallel
53
A straight line at an angle of 90 to a given line, plane or surface
perpendicular
54
When corresponding pairs of angles have the same measure
similar
55
Any of a set of straight lines passing through a point
ray
56
A line that is this to a circle will be perpendicular to the radius of the circle at that point
tangent
57
An implication (contains both a hypothesis and conclusion; typically uses if-then structure)
conditional statement
58
When a structure has the ability to withstand outside events, such as impact or human error consequences
robust constructs
59
Inscribed quadrilateral whose vertices all lie on a single circle
cyclic quadrilateral
60
A theorem that follows very easily from another
corollary
61
The set of points equidistant from a given line on one side of it forms a straight line
clavius' axiom
62
A deductive argument
proof
63
Given a line l and any point P not on l, there is exactly one line through P that is parallel to l
Hayfair's postulate
64
Line segment from a vertex perpendicular to the line containing the opposite side (in a triangle)
altitude
65
Proof that a conjecture is false
counter example
66
Greek mathematics considered to be "father of geometry"
euclid