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geometry > test 1 > Flashcards

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
Q

A polygon with all angles less than 180 degrees and outward facing vertices

A

convex

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26
Q

Logical operator denoted by ^

A

and

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27
Q

Logical operator denoted by ∨

A

or

28
Q

Logical operator denoted by ~

A

not

29
Q

Educated guess (which can be proven true or false)

A

conjecture

30
Q

Logical operator that means “implies”

A

–>

31
Q

The “if” and “then”. parts of a statement are switched

A

converse

32
Q

Both parts of a statement are negated

A

inverse

33
Q

Both parts of a statement are switched and negated

A

contrapositive

34
Q

Polygon in which the diagonals do not intersect

A

concave

35
Q

The exact middle of a line segment

A

midpoint

36
Q

In a circle or triangle, a set of points whose distance to the center are less than the radius

A

interior to

37
Q

In a circle or a triangle, a set of points whose distance to the center are more than the radius

A

exterior to

38
Q

(n-2)*180

A

sum of interior formula angles

39
Q

Angles that are non-adjacent, on the same side of the transversal, and one is interior while the other is exterior

A

corresponding angles

40
Q

Share a common vertex and their sides form two lines

A

vertical angles

41
Q

Same size and shape

A

congruent

42
Q

Angles on the side of a figure

A

interior angles

43
Q

Angles on the outside of a figure

A

exterior angles

44
Q

Valid conjecture

A

theorem

45
Q

The result of a hypothesis

A

conclusion

46
Q

Statement assumed to be true conjecture with certain conditions

A

hypothesis

47
Q

Statements accepted without proof

A

axiom

48
Q

Making an inference based on premises

A

deductive reasoning

49
Q

Tool similar to a ruler but has not measurement markings

A

straightedge

50
Q

Tool that would collapse when lifted from a surface

A

floppy compass

51
Q

A mathematical text authored by Euclid and his peers; the most widely circulated book about mathematics for 2000 years

A

elements

52
Q

Objects that are side. by side and have the same distance continuously between them

A

parallel

53
Q

A straight line at an angle of 90 to a given line, plane or surface

A

perpendicular

54
Q

When corresponding pairs of angles have the same measure

A

similar

55
Q

Any of a set of straight lines passing through a point

A

ray

56
Q

A line that is this to a circle will be perpendicular to the radius of the circle at that point

A

tangent

57
Q

An implication (contains both a hypothesis and conclusion; typically uses if-then structure)

A

conditional statement

58
Q

When a structure has the ability to withstand outside events, such as impact or human error consequences

A

robust constructs

59
Q

Inscribed quadrilateral whose vertices all lie on a single circle

A

cyclic quadrilateral

60
Q

A theorem that follows very easily from another

A

corollary

61
Q

The set of points equidistant from a given line on one side of it forms a straight line

A

clavius’ axiom

62
Q

A deductive argument

A

proof

63
Q

Given a line l and any point P not on l, there is exactly one line through P that is parallel to l

A

Hayfair’s postulate

64
Q

Line segment from a vertex perpendicular to the line containing the opposite side (in a triangle)

A

altitude

65
Q

Proof that a conjecture is false

A

counter example

66
Q

Greek mathematics considered to be “father of geometry”

A

euclid

geometry (4 decks)

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