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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
WHat are congruent angles?
two angles that measure the same
26
what is an angle bisector?
a ray that divides an angle into two congruent angles
27
What are Adjecent angles?
two angles in the same place with a common vertex and a common side but no common interior points
28
What is a linear pair?
a pair of adjecent angles whose non-common sides are opposite rays
29
WHat are complimentary angles?
two angles that, in total, sum up to 90
30
What are supplementary angles?
two angles that, in total, sum up to 180
31
What are vertical angles?
two non-adjacent angles formed by two intercepting lines
32
what is area?
the number of non-overlapping square units of a given size that cover the figure
33
What is a diameter?
a segment that splits a circle in half, with the middle of it being the middle of the circle.
34
what is a radius?
a segment whose end points are the center of the circle and the end of a circle
35
what is coordinal plane?
a plane divided into four regions by a horizontal X-axis and a vertical Y-axis
36
what are the "Leg's of a right angle"?
The lines in a right triangle that form the right angle
37
What is a hypotenuse?
the line in-between the open ends of the | "leg's of a right angle"
38
What is a transformation?
a change in position, size, or shape of a figure
39
What is a reflection?
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
what is a translation?
A translation is a transformation in which all the points of a figure move the same distance in the same direction
41
What is a rotation?
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
What is a Pre-image?
The original figure in a transformation is called the preimage
43
Image?
The resulting figure of a transformation
44
What is inductive reasoning?
the process of reasoning that a rule or statement is true because specific cases are true
45
What is a conjecture?
A statement produced by inductive reasoning
46
A counterexample?
a specific example that proves a conjecture wrong
47
What is a conditional statement?
A statement that can be written in the form "If P, the Q"
48
What is a hypothesis?
the part P of a conditional statement following the word "if"
49
What is a conclusion?
the part Q of a conditional statement following the word "then"
50
what is truth value?
a conditional statement has a truth value of either "True" or "False"
51
What is a converse?
the statement formed by exchanging the hypothesis and conclusion (Q -> P)
52
what is P?
hypothesis
53
What is Q?
conclusion
54
what is an inverse?
the statement formed by nullifying the hypothesis and conclusion (~p -> ~Q)
55
what is a contrapositive?
the statement formed by nullifying and exchanging the hypothesis and conclusion (~Q -> ~P)
56
logically Equivalent statement?
Related Conditional statements that have the same truth value are called logically equivalent statement
57
What is a Biconditional Statement
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
WHat is a polygon?
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
What is a triangle?
a three-sided polygon
60
What is a quadrilateral?
a four-sided polygon
61
Through any two points-
-There is exactly one line
62
Through any three non-collinear points-
-there is exactly one place
63
If two points lie in a plane-
-then the line containing those points lies in the plane
64
if two unique lines intersect-
-then they intersect at exactly one line
65
if two unique planes intersect-
-then they intersect at exactly one line
66
Segment addition Postulate?
if B is between A and C, then AB+BC=AC
67
what is the Law of Contrapositive?
A conditional and its contrapositive are logically equivalent
68
What is the Law of detachment?
If (P -> q)is a true statement and P is true, then Q is true
69
What is the law of Syllogism?
If (P -> Q) are true statements, then (P -> R) is a true statment
70
Reflexive Property of Congruence
A≅A
71
symmetric property of congruence
if A≅B, then B ≅ A
72
Transitive property of congruence
if A ≅ B, B ≅ C, A ≅ C
73
congruence meaning:
compatably similar (≅)
74
Linear Pair Theorem?
if two angles form a linear pair, then they are supplemantary
75
Congruent Supplements Theorem?
if two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent
76
what is Right Angle Congruence Theorem
all right angles are congruent
77
Congruent Complements Theorem?
if two angles are complimentary to the same angle (or to two congruent angles), the the two angles are congruent
78
Common Segments Theorem?
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
Verticle Angles Theorem:
Vertical angles are congruent
80
If two congruent angles are supplementary-
-then each angle is a right angle

Math (10 decks)

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