Math Flashcards

1
Q

What theorem states that if two lines are perpendicular to the same line then the two lines are parallel?

A

Perpendicular/parallel line theorem

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2
Q

What is the definition of a square?

A

Quadrilateral with 4 right angles and all sides are congruent

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3
Q

Diagonals of a square are…..

A

Equal

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4
Q

Opposite sides of a square are

A

Parallel

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5
Q

Diagonals of a square ——–each other

A

Bisect

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6
Q

Diagonals of a square ——— the vertex angles

A

Bisect

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7
Q

Diagonals of a square are ___________ to each other

A

Perpendicular

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8
Q

Definition of a rectangle

A

Quadrilateral with opposite sides congruent and 4 right angles

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9
Q

Opposite sides of a rectangle are _____and______

A

Parallel

Congruent

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10
Q

Diagonals of a rectangle are

A

Congruent

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11
Q

Diagonals of a rectangle _______ each other

A

Bisect

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12
Q

Do the diagonals of a rectangle bisect the vertex angles?

A

No

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13
Q

Are the diagonals of a rectangle perpendicular to each other?

A

No

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14
Q

What is this a definition of: quadrilateral with two pairs of consecutive congruent sides with opposite that are not congruent?

A

Kite

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15
Q

One pair of opposite angles of a kite are….

A

Congruent

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16
Q

The shorter diagonal of a kite is _________by the longer diagonal

A

Bisected

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17
Q

Are the diagonals of a kite congruent?

A

No

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18
Q

Do the diagonals of a kite bisect the vertex angles?

A

Only the longer diagonal bisects the small angle

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19
Q

Are the diagonals of a kite perpendicular to each other?

A

Yes

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20
Q

Definition of a trapezoid

A

Quadrilateral with exactly one pair of parallel side

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21
Q

Base angles of an isosceles trapezoid are …..

A

Congruent

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22
Q

The diagonals of an isosceles trapezoid are…..

A

Parallel

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23
Q

Are the opposite sides of a trapezoid parallel?

A

Yes, one pair

24
Q

Do the diagonals of an isosceles trapezoid bisect each other?

A

No

25
Q

Parallelogram definition

A

Quadrilateral with both pairs of parallel sides

26
Q

Sine abbreviation and definition

A

Sin

Opposite angle over hypotenuse

27
Q

Cosine abbreviation and definition

A

Cos

Adjacent over hypotenuse

28
Q

Tangent abbreviation and definition

A

Tan

Opposite angle over adjacent angle

29
Q

Cotangent abbreviation and definition

A

Cot

Adjacent angle over hypotenuse

30
Q

Secant abbreviation and definition

A

Sec

Hypotenuse over adjacent angle

31
Q

Cosecant abbreviation and definition

A

Csc

Hypotenuse over opposite angles

32
Q

Sohcahtoa

A

Way to remember trig ratios

33
Q

Def. of a parallelogram

A

Quadrilateral with both pairs of opposite sides parallel

34
Q

Opposites sides of a parallelogram are ______and________

A

Congruent and parallel

35
Q

Opposite angles of a parallelogram are ______

A

Congruent

36
Q

Consecutive angles of a parallelogram are_____

A

Supplementary

37
Q

The diagonals of a parallelogram _______each other

A

Bisect

38
Q

Are the diagonals of a parallelogram congruent?

A

No

39
Q

Do the diagonals of a parallelogram bisect the vertex angle

A

Yes, in a rhombus

No in a parallelogram

40
Q

Are the diagonals of a parallelogram perpendicular to each other?

A

No

41
Q

Def. of a rhombus

A

Quadrilateral with all sides congruent

42
Q

Opposite sides of a rhombus are ________and_________

A

Parallel and congruent

43
Q

The diagonals of a rhombus are ______ to each other

A

Perpendicular

44
Q

The diagonals of a rhombus ________each other

A

Bisect

45
Q

The diagonals of a rhombus______the vertex angles

A

Bisect

46
Q

True or false

If a quadrilateral is a parallelogram, then it is a rhombus

A

False

47
Q

True or false

If a quadrilateral is a rhombus, then it is a parallelogram

A

False

48
Q

Which theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally?

A

Triangle proportionality theorem

49
Q

Which theorem states if a line divides the two sides of a triangle proportionally, then it is parallel to the third side?

A

Converse of the triangle proportionality theorem.

50
Q

Which theorem states if three lines intersect two transversal, then they divide the transversals proportionally?

A

Proportional segments theorem

51
Q

Which theorem states that the mid segment of a triangle is parallel to the third side of the triangle and is half the measure of the third side of the triangle?

A

Triangle mid-segment theorem

52
Q

Which theorem states if an altitude is drawn to the hypotenuse of a right triangle, the. The two triangles formed are similar to the original triangle and to each other?

A

Right triangle similarity theorem.

53
Q

Which theorem states that the measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse?

A

Right triangle altitude/hypotenuse theorem

54
Q

Which theorem states that if the altitude is drawn to the hypotenuse of a right triangle, each leg of the right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg?

A

Right triangle altitude/ leg theorem

55
Q

Which theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar?

A

Angle angle similarity theorem

56
Q

Which theorem states that if all three corresponding sides of two triangles are proportional, then the triangles are similar?

A

Side side similarity theorem

57
Q

Which theorem states that if the two corresponding sides of two triangles are proportional and the included angles are congruent, then the triangles are similar?

A

Side and side similarity theorem