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Freshman > Math > Flashcards

Math Flashcards

(85 cards)

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1
Q

how do you reflect over the y axis?

A

change the sign of the x

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2
Q

how do you reflect over the x axis?

A

change the sign of the y

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3
Q

how do you reflect over y=x?

A

switch x and y

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4
Q

how do you translate?

A

slide x a unit left or rightslide y a unit up or down

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5
Q

how do you rotate 90 counter clockwise/270 clockwise?

A

(x,y) - (-y,x)switch x & y and change the sign of y

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6
Q

how do you rotate 90 clockwise/270 counter clockwise?

A

(x,y) - (y,-x)switch x & y change the sign of the x

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7
Q

how do you rotate 180 degrees?

A

(x,y) - (-x,-y)change the sign of x & y

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8
Q

What is an undefined term?

A

a basic figure that is not defined in terms of other figures

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9
Q

What does collinear mean?

A

points that lie on the same line

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10
Q

What is a plane?

A

a flat surface that has no thickness and extends forever

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11
Q

What is a line?

A

a straight path that has no thickness and extends forever

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12
Q

What is a point?

A

a location that has no size

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13
Q

What does coplanar mean?

A

points that lie in the same plane

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14
Q

What is an endpoint?

A

a point at an end of a segment or the starting point of a ray

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15
Q

What is a ray?

A

a part of a line that starts at an endpoint and extends forever in one direction

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16
Q

What is a postulate?

A

a statement that is accepted as true without proof, also called an axiom

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17
Q

What is a vertex?

A

the common endpoint of the sides of an angle

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18
Q

What are opposite rays?

A

two rays that have a common endpoint and form a line

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19
Q

What is a segment?

A

a part of a line consisting of two endpoints and all points between them

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20
Q

What is a vertical angle?

A

nonadjacent angles formed by two intersecting lines

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21
Q

What is a straight angle?

A

an angle formed by two opposite rays that measures 180°

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22
Q

What is an acute angle?

A

an angle that measures greater 0° and less 90°

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23
Q

What is a right angle?

A

an angle that measure 90°

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24
Q

What is an interior of an angle?

A

sets of all points between the sides of an angles

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25
What is a obtuse angle?
an angle that measure greater than 90° and less 180°
26
What is an exterior of an angle?
set of all points outside an angle
27
What is an adjacent angles?
two angles in the the same plane with a common vertex and a common side, but no common interior points
28
What is a supplementary angles?
two angles whose measure have a sum of 180°
29
What are complementary angles?
two angles whose measure have a sum of 90°
30
What is an angle bisector?
a ray that divides an angle into two congruent angles
31
What is a linear pair?
a pair of adjacent whose no common sides are opposite rays
32
What are congruent angles?
angles that have the same measure
33
What is an image
a shape that results from a transformation of a figure
34
What is a preimage?
original figure in a transformation
35
What is a reflection?
transformation across a line
36
What is a transformation?
a change in position, size, or shape of a figure
37
What is a rotation?
a transformation about a point P, such that each point and its image are the same distance from P
38
What is a translation?
a transformation in which all the points of a figure move the same distance in the same direction
39
What is an acute triangle?
triangle with three acute angles
40
What is an isosceles triangle?
a triangle with at least two congruent sides
41
What is an obtuse triangle?
a triangle with an obtuse angle
42
What is an equilateral triangle?
a triangle with three congruent sides
43
What is a right triangle?
a triangle with one right angle
44
What is an exterior angle?
an angle formed by one side of a polygon and the extension of an adjacent side
45
What is an interior angle?
an angle formed by two sides of a polygon with a common vertex
46
What is a remote interior angle?
an interior angle of a polygon that is not adjacent to the exterior angle
47
What is the exterior?
the set of all points outside the polygon
48
What is the interior?
the set of all the points inside a polygon
49
What are corresponding angles?
angles in the same relative position in two different polygons that have the same number of interior angles
50
What is the vertex angle?
the angle formed by the legs of a triangle
51
What is the included side?
common side of two consecutive angles of a polygon
52
What are corresponding sides?
sides in the same relative position in two different polygons that have the same number of sides
53
What is an interior angle?
angle formed by two adjacent sides of a polygon
54
What is triangle rigidity?
property of triangles that states that if the side lengths of a triangle are fixed, the triangle can have only one shape
55
What is an equiangular triangle?
a triangle with three congruent angles
56
What is the base?
the side opposite of the vertex angle
57
What are the legs of an isosceles triangle?
one of the two congruent side sides of a isosceles triangle
58
What is the base angle?
one of two angles that have the base of the triangle as a side
59
What is a coordinate proof?
a style of proof that uses coordinate geometry and algebra
60
What are congruent polygons?
Two polygons whose corresponding sides and angles are congruent
61
What is a corollary?
A theorem whose proof follows directly from another theorem
62
What is CPCTC?
an abbreviation for "Corresponding Parts of Congruent Triangles are Congruent" which can be used as a justification in a proof after two triangle are proven congruent
63
What is an auxiliary line?
a line drawn in a figure to aid in a proof
64
What are the triangle congruence theorems?
SSS, SAS, ASA, AAS, and Hypotenuse Leg
65
What are the similarity theorems?
SSS, AA, and SAS
66
What is the distance formula?
d = square root of (x2-X1) squared + (y2-y1) squares
67
What is the slope formula?
(y1-y2)(x1-x2)
68
What is the point slope formula?
y-y1=m(x-x1)
69
What is the slope intercept formula?
y=mx+b
70
Which quadrilateral has opposite sides that are congruent
parallelogram
71
Which quadrilateral has opposite sides that are parallel?
parallelogram
72
Which quadrilateral has opposite angles that are congruent?
parallelogram
73
Which quadrilateral has diagonals that bisect each other?
parallelogram
74
Which quadrilateral has consecutive angles that are supplementary
parallelogram
75
Which quadrilateral has one pair of sides are congruent and parallel
parallelogram
76
All characteristics of a parallelogram and four congruent sides
rhombus
77
All characteristics of a parallelogram and diagonals are perpendicular
rhombus
78
All characteristics of a parallelogram and diagonals that bisect opposite angles
rhombus
79
All characteristics of a parallelogram and four 90 degree angles
rectangle
80
All characteristics of a parallelogram and diagonals are congruent
rectangle
81
All characteristics of a parallelogram, rhombus, and rectangle
square
82
What shape has both congruent diagonal lengths and perpendicular diagonals ?
square
83
What shape doesn't have congruent diagonal lengths but perpendicular diagonals?
rhombus
84
What shape has only congruent diagonal lengths?
rectangle
85
What shape doesn't have both congruent diagonal lengths and perpendicular diagonals?
parallelogram

Freshman (9 decks)

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