Math Flashcards

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
Q

What is a obtuse angle?

A

an angle that measure greater than 90° and less 180°

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26
Q

What is an exterior of an angle?

A

set of all points outside an angle

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27
Q

What is an adjacent angles?

A

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

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28
Q

What is a supplementary angles?

A

two angles whose measure have a sum of 180°

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29
Q

What are complementary angles?

A

two angles whose measure have a sum of 90°

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30
Q

What is an angle bisector?

A

a ray that divides an angle into two congruent angles

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31
Q

What is a linear pair?

A

a pair of adjacent whose no common sides are opposite rays

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32
Q

What are congruent angles?

A

angles that have the same measure

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33
Q

What is an image

A

a shape that results from a transformation of a figure

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34
Q

What is a preimage?

A

original figure in a transformation

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35
Q

What is a reflection?

A

transformation across a line

36
Q

What is a transformation?

A

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

37
Q

What is a rotation?

A

a transformation about a point P, such that each point and its image are the same distance from P

38
Q

What is a translation?

A

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

39
Q

What is an acute triangle?

A

triangle with three acute angles

40
Q

What is an isosceles triangle?

A

a triangle with at least two congruent sides

41
Q

What is an obtuse triangle?

A

a triangle with an obtuse angle

42
Q

What is an equilateral triangle?

A

a triangle with three congruent sides

43
Q

What is a right triangle?

A

a triangle with one right angle

44
Q

What is an exterior angle?

A

an angle formed by one side of a polygon and the extension of an adjacent side

45
Q

What is an interior angle?

A

an angle formed by two sides of a polygon with a common vertex

46
Q

What is a remote interior angle?

A

an interior angle of a polygon that is not adjacent to the exterior angle

47
Q

What is the exterior?

A

the set of all points outside the polygon

48
Q

What is the interior?

A

the set of all the points inside a polygon

49
Q

What are corresponding angles?

A

angles in the same relative position in two different polygons that have the same number of interior angles

50
Q

What is the vertex angle?

A

the angle formed by the legs of a triangle

51
Q

What is the included side?

A

common side of two consecutive angles of a polygon

52
Q

What are corresponding sides?

A

sides in the same relative position in two different polygons that have the same number of sides

53
Q

What is an interior angle?

A

angle formed by two adjacent sides of a polygon

54
Q

What is triangle rigidity?

A

property of triangles that states that if the side lengths of a triangle are fixed, the triangle can have only one shape

55
Q

What is an equiangular triangle?

A

a triangle with three congruent angles

56
Q

What is the base?

A

the side opposite of the vertex angle

57
Q

What are the legs of an isosceles triangle?

A

one of the two congruent side sides of a isosceles triangle

58
Q

What is the base angle?

A

one of two angles that have the base of the triangle as a side

59
Q

What is a coordinate proof?

A

a style of proof that uses coordinate geometry and algebra

60
Q

What are congruent polygons?

A

Two polygons whose corresponding sides and angles are congruent

61
Q

What is a corollary?

A

A theorem whose proof follows directly from another theorem

62
Q

What is CPCTC?

A

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
Q

What is an auxiliary line?

A

a line drawn in a figure to aid in a proof

64
Q

What are the triangle congruence theorems?

A

SSS, SAS, ASA, AAS, and Hypotenuse Leg

65
Q

What are the similarity theorems?

A

SSS, AA, and SAS

66
Q

What is the distance formula?

A

d = square root of (x2-X1) squared + (y2-y1) squares

67
Q

What is the slope formula?

A

(y1-y2)(x1-x2)

68
Q

What is the point slope formula?

A

y-y1=m(x-x1)

69
Q

What is the slope intercept formula?

A

y=mx+b

70
Q

Which quadrilateral has opposite sides that are congruent

A

parallelogram

71
Q

Which quadrilateral has opposite sides that are parallel?

A

parallelogram

72
Q

Which quadrilateral has opposite angles that are congruent?

A

parallelogram

73
Q

Which quadrilateral has diagonals that bisect each other?

A

parallelogram

74
Q

Which quadrilateral has consecutive angles that are supplementary

A

parallelogram

75
Q

Which quadrilateral has one pair of sides are congruent and parallel

A

parallelogram

76
Q

All characteristics of a parallelogram and four congruent sides

A

rhombus

77
Q

All characteristics of a parallelogram and diagonals are perpendicular

A

rhombus

78
Q

All characteristics of a parallelogram and diagonals that bisect opposite angles

A

rhombus

79
Q

All characteristics of a parallelogram and four 90 degree angles

A

rectangle

80
Q

All characteristics of a parallelogram and diagonals are congruent

A

rectangle

81
Q

All characteristics of a parallelogram, rhombus, and rectangle

A

square

82
Q

What shape has both congruent diagonal lengths and perpendicular diagonals ?

A

square

83
Q

What shape doesn’t have congruent diagonal lengths but perpendicular diagonals?

A

rhombus

84
Q

What shape has only congruent diagonal lengths?

A

rectangle

85
Q

What shape doesn’t have both congruent diagonal lengths and perpendicular diagonals?

A

parallelogram