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
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
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
4
Q
Parallelogram
A
- opposite sides congruent
- opposite sides ||
- opposite angles congruent
- consecutive angles = 180
- diagonals bisect each other
5
Q
Rectangle
A
- All parallelogram prop.
- All congruent right angles
- diagonals congruent
6
Q
Rhombus
A
- All parallelogram prop.
- all sides congruent
- diagonals perpendicular
- diagonals bisect angles
7
Q
Square
A
- All parallelogram prop.
- All rectangle prop.
- All rhombus prop.
8
Q
Trapezoid
A
One pair of opposite sides parallel
9
Q
Isosceles trapezoid
A
- trapezoid prop.
- non || sides congruent
- base angles congruent
- base angles and non base angles are supplementary(=180)
10
Q
r x-axis
A
(x,-y)
11
Q
r y-axis
A
(-x,y)
12
Q
r y=x
A
(y,x)
13
Q
r y=-x
A
(-y,-x)
14
Q
r origin
A
(-x,-y)
15
Q
T a,b
A
(x+a,y+b)
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
Cavalieris principle
When the area and height are equal the volumes must be equal.
26
Thales theorem
When a diameter and 3rd point =90
27
Circles central angle equal what?
Central angle=arc
28
Circles inscribed angle is
Inscribed angle=1/2 arc
29
Angle by tangent/chord equals
Angle by tangent/chord = 1/2 arc
30
Radius/tangent (RT)
Radius/tangent(RT)=90
31
Similar triangles
AA
SSS for similarity
SAS for similarity
Corresponding sides of similar triangles are in proportion
32
45:45:90
45: 45:90
1: 1:radical 2
33
30:60:90
30: 60:90
1: radical 3:2
34
Congruent triangles
```
SSS
SAS
ASA
AAS
HL(right triangles only)
CPCTC(use after the triangles are congruent)
```
35
Rigid motion
Preserves size and angle measure
| Ex:translation, rotation, reflection
36
Direct isometry
Preserves size and orientation(order)
| Ex:rotation,translation
37
Opposite isometry
Preserves size but not orientation
| Ex:reflection
38
Inverse (SOH CAH TOA)
To find angle measure
39
Regular(SOH CAH TOA)
To find measurement of sides
