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Math > Geometry > Flashcards

Geometry Flashcards

1
Q

what is a Point?

A

A location marker with no size

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2
Q

what is a Line?

A

straight 1 dimensional path with no thickness

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3
Q

What is a Plane?

A

2D flat infinite face with no thickness

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4
Q

what is Collinear?

A

Two points on the same line are Collinear

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5
Q

what is Coplanar?

A

Points on the same plane are Coplanar

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6
Q

what is a Segment?

A

a part of a line that lies between two points

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7
Q

what is an Endpoint?

A

The end of a segment, and the start ray

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8
Q

What is a ray?

A

from the Endpoint it goes infinitely in one direction

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9
Q

What are opposite ray’s?

A

two rays with a common end point that form a line

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10
Q

What is an Intersection?

A

a set of all the points that two or more figures have in common

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11
Q

What is a coordinate?

A

a number that is used to identify the location of a point

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12
Q

What is length?

A

The distance between A and B is the length of AB

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13
Q

What are congruent segments?

A

Segments that have the same length as each other

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14
Q

What counts as in between?

A

In order for something to be in between, al three points must lie on the same line, or AB + BC = AC

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15
Q

What is a midpoint?

A

M of a segment, AB, it divides the segment into two congruent segments. AM=MB

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16
Q

What is bisecting?

A

splitting into two congruent halves

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17
Q

What is a segment bisector?

A

any ray, segment, or line that intersects a segment at it’s mid-point

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18
Q

What is an angle?

A

A figure formed by two Rays, or sides, with a common end points called a vertex

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19
Q

WHat is an interior of an angle?

A

a set of all points in between the sides of an angle

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20
Q

What is an exterior of an angle?

A

a set of all points that are not in between the sides of an angle

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21
Q

What is an acute angle?

A

an angle that measures greater than 0 and less than 90

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22
Q

What is a right angle?

A

an angle that measures 90

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23
Q

What is an obtuse angle?

A

an angle that measures greater than 90 and less than 180

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24
Q

What is a straight angle?

A

formed by two opposite rays and measures 180

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25
Q

WHat are congruent angles?

A

two angles that measure the same

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26
Q

what is an angle bisector?

A

a ray that divides an angle into two congruent angles

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27
Q

What are Adjecent angles?

A

two angles in the same place with a common vertex and a common side but no common interior points

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28
Q

What is a linear pair?

A

a pair of adjecent angles whose non-common sides are opposite rays

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29
Q

WHat are complimentary angles?

A

two angles that, in total, sum up to 90

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30
Q

What are supplementary angles?

A

two angles that, in total, sum up to 180

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31
Q

What are vertical angles?

A

two non-adjacent angles formed by two intercepting lines

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32
Q

what is area?

A

the number of non-overlapping square units of a given size that cover the figure

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33
Q

What is a diameter?

A

a segment that splits a circle in half, with the middle of it being the middle of the circle.

34
Q

what is a radius?

A

a segment whose end points are the center of the circle and the end of a circle

35
Q

what is coordinal plane?

A

a plane divided into four regions by a horizontal X-axis and a vertical Y-axis

36
Q

what are the “Leg’s of a right angle”?

A

The lines in a right triangle that form the right angle

37
Q

What is a hypotenuse?

A

the line in-between the open ends of the

“leg’s of a right angle”

38
Q

What is a transformation?

A

a change in position, size, or shape of a figure

39
Q

What is a reflection?

A

the trasformation across a line called the line of reflection, each point anf its image are the same distance from the line of reflection

40
Q

what is a translation?

A

A translation is a transformation in which all the points of a figure move the same distance in the same direction

41
Q

What is a rotation?

A

A rotation is a transformation about a point P, called the center of rotation. Eacn point and its image are the same distance from P

42
Q

What is a Pre-image?

A

The original figure in a transformation is called the preimage

43
Q

Image?

A

The resulting figure of a transformation

44
Q

What is inductive reasoning?

A

the process of reasoning that a rule or statement is true because specific cases are true

45
Q

What is a conjecture?

A

A statement produced by inductive reasoning

46
Q

A counterexample?

A

a specific example that proves a conjecture wrong

47
Q

What is a conditional statement?

A

A statement that can be written in the form “If P, the Q”

48
Q

What is a hypothesis?

A

the part P of a conditional statement following the word “if”

49
Q

What is a conclusion?

A

the part Q of a conditional statement following the word “then”

50
Q

what is truth value?

A

a conditional statement has a truth value of either “True” or “False”

51
Q

What is a converse?

A

the statement formed by exchanging the hypothesis and conclusion (Q -> P)

52
Q

what is P?

A

hypothesis

53
Q

What is Q?

A

conclusion

54
Q

what is an inverse?

A

the statement formed by nullifying the hypothesis and conclusion (~p -> ~Q)

55
Q

what is a contrapositive?

A

the statement formed by nullifying and exchanging the hypothesis and conclusion (~Q -> ~P)

56
Q

logically Equivalent statement?

A

Related Conditional statements that have the same truth value are called logically equivalent statement

57
Q

What is a Biconditional Statement

A

A biconditional statement is a statement that can be written in the from “P if and only if q”. This means “If P then Q” and “If Q then P”
(P Q)

58
Q

WHat is a polygon?

A

A closed plane figure formed by threee or more segments, where each segment intersects exactly two other segments only at their endpoints and no two segments with a common endpoint are collinear

59
Q

What is a triangle?

A

a three-sided polygon

60
Q

What is a quadrilateral?

A

a four-sided polygon

61
Q

Through any two points-

A

-There is exactly one line

62
Q

Through any three non-collinear points-

A

-there is exactly one place

63
Q

If two points lie in a plane-

A

-then the line containing those points lies in the plane

64
Q

if two unique lines intersect-

A

-then they intersect at exactly one line

65
Q

if two unique planes intersect-

A

-then they intersect at exactly one line

66
Q

Segment addition Postulate?

A

if B is between A and C, then AB+BC=AC

67
Q

what is the Law of Contrapositive?

A

A conditional and its contrapositive are logically equivalent

68
Q

What is the Law of detachment?

A

If (P -> q)is a true statement and P is true, then Q is true

69
Q

What is the law of Syllogism?

A

If (P -> Q) are true statements, then (P -> R) is a true statment

70
Q

Reflexive Property of Congruence

A

A≅A

71
Q

symmetric property of congruence

A

if A≅B, then B ≅ A

72
Q

Transitive property of congruence

A

if A ≅ B, B ≅ C, A ≅ C

73
Q

congruence meaning:

A

compatably similar (≅)

74
Q

Linear Pair Theorem?

A

if two angles form a linear pair, then they are supplemantary

75
Q

Congruent Supplements Theorem?

A

if two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent

76
Q

what is Right Angle Congruence Theorem

A

all right angles are congruent

77
Q

Congruent Complements Theorem?

A

if two angles are complimentary to the same angle (or to two congruent angles), the the two angles are congruent

78
Q

Common Segments Theorem?

A

Given Collinear Points A,B,C and D arranged on a segment such that A and D are the endpoints, B is between A and C, and C is between B and D. If AB ≅ CD, then AC ≅ BD

79
Q

Verticle Angles Theorem:

A

Vertical angles are congruent

80
Q

If two congruent angles are supplementary-

A

-then each angle is a right angle

Math (10 decks)

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