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Geometry! > Studyy > Flashcards

Studyy Flashcards

1
Q

Subset

A

A set A is a subset of set B if every element is also and element of B…AcB

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2
Q

Union

A

The union of A and B is the set of all objects that are either elements of A or B,or both..AUB

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3
Q

Intersection

A

The intersection of A and B is the set of all objects that are elements of A and also elements of B..A (upside down U) B

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4
Q

Parallelogram

A
  1. opposite sides congruent
  2. opposite sides ||
  3. opposite angles congruent
  4. consecutive angles = 180
  5. diagonals bisect each other
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5
Q

Rectangle

A
  1. All parallelogram prop.
  2. All congruent right angles
  3. diagonals congruent
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6
Q

Rhombus

A
  1. All parallelogram prop.
  2. all sides congruent
  3. diagonals perpendicular
  4. diagonals bisect angles
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7
Q

Square

A
  1. All parallelogram prop.
  2. All rectangle prop.
  3. All rhombus prop.
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8
Q

Trapezoid

A

One pair of opposite sides parallel

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9
Q

Isosceles trapezoid

A
  1. trapezoid prop.
  2. non || sides congruent
  3. base angles congruent
  4. base angles and non base angles are supplementary(=180)
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10
Q

r x-axis

A

(x,-y)

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11
Q

r y-axis

A

(-x,y)

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12
Q

r y=x

A

(y,x)

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13
Q

r y=-x

A

(-y,-x)

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14
Q

r origin

A

(-x,-y)

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15
Q

T a,b

A

(x+a,y+b)

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16
Q

D k

A

(kx,ky)

17
Q

R 90

A

(-y,x)

18
Q

R180

A

(-x,-y)

19
Q

R270

A

(y,-x)

20
Q

Point intercept

A

y-y1=m(x-x1)

21
Q

SOH CAH TOA

A

sinx= cos(90-x)

22
Q

Scalene triangle

A

No congruent sides

23
Q

Isosceles triangle

A

2 congruent sides

24
Q

Equilateral triangle

A

3 congruent sides

25
Q

Cavalieris principle

A

When the area and height are equal the volumes must be equal.

26
Q

Thales theorem

A

When a diameter and 3rd point =90

27
Q

Circles central angle equal what?

A

Central angle=arc

28
Q

Circles inscribed angle is

A

Inscribed angle=1/2 arc

29
Q

Angle by tangent/chord equals

A

Angle by tangent/chord = 1/2 arc

30
Q

Radius/tangent (RT)

A

Radius/tangent(RT)=90

31
Q

Similar triangles

A

AA
SSS for similarity
SAS for similarity
Corresponding sides of similar triangles are in proportion

32
Q

45:45:90

A

45: 45:90
1: 1:radical 2

33
Q

30:60:90

A

30: 60:90
1: radical 3:2

34
Q

Congruent triangles

A 
SSS
SAS
ASA
AAS
HL(right triangles only)
CPCTC(use after the triangles are congruent)
35
Q

Rigid motion

A

Preserves size and angle measure

Ex:translation, rotation, reflection

36
Q

Direct isometry

A

Preserves size and orientation(order)

Ex:rotation,translation

37
Q

Opposite isometry

A

Preserves size but not orientation

Ex:reflection

38
Q

Inverse (SOH CAH TOA)

A

To find angle measure

39
Q

Regular(SOH CAH TOA)

A

To find measurement of sides

Geometry! (3 decks)

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