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Geometry Regents (Honors)
Things To remeber for to Regents
68
Mathematics
9th Grade
06/14/2011

Additional Mathematics Flashcards

 


 

Cards

Term

Corresonding angles are ________

[image]Give Examples according to the diagram.

Definition

They are congruent.

m<1=m<5, m<2=m<6, m<3=m<7, m<4=m<8

Term

Alternate Interior Angles are __________

[image]

Name some examples on the picture

Definition

They are equal.

Examples: m<3=m<6, m<4=m<5

Term

Alternate Exterior Angles are _________

[image]

 

Give Examples according to the diagram

Definition

They are equal

Examples are: m<1=m<8, m<2=m<7

Term

Same side interior angles are __________

[image]

Name some examples

Definition

They are supplementary

Examples are: m<3+m<5=180, m<4+m<6=180

Term

What do Parallelograms have?

 

[image]

 

Definition

-opp. sides are parallel

-opp. sides are equal

-opp. angles are equal

-consecuative angles are supplemetary

-Diagonals bisect each other

 

Term

What do Rectangles have?

[image]

Definition

-opp. sides are parallel

-opp. sides are equal

-opp. angles are equal

-consecuative angles are supplemetary

-Diagonals bisect each other

-4 right angles

-diagonals are equal

Term

What do rhombus' have?

 

[image]

Definition

-opp. sides are parallel

-opp. sides are equal

-opp. angles are equal

-consecuative angles are supplemetary

-Diagonals bisect each other

-4 equal sides

-diagonals are perpindicular

-diagonals bisect angles

Term

What does a square have?

[image]

Definition

-opp. sides are parallel

-opp. sides are equal

-opp. angles are equal

-consecuative angles are supplemetary

-Diagonals bisect each other

-4 equal sides

-diagonals are perpindicular

-diagonals bisect angles

Term

What does a trapezoid have?

[image]

Definition

-Only one set of paralled sides.

-Median of trapezoid is paralled to both bases and equal to 1/2 sum of the bases

Term

What does a Isosceles Trapezoid have?

[image]

Definition

-Only one set of paralled sides.

-Median of trapezoid is paralled to both bases and equal to 1/2 sum of the bases

-Legs are equal

-Base angles are equal

-diagonals are equal

-opposite angles are supplementary.

Term
Transformation Rx-axis
Definition
(x,y)=(x,-y)
Term
Transformation  ry-axis
Definition
(x,y)=(-x,y)
Term
Tranformation ry=x
Definition
(x,y)=(y,x)
Term
Tranformation ry=-x
Definition
(x,y)=(-y,-x)
Term
Transformation rorigin
Definition
(x,y)=(-x,-y)
Term
Transformation Ta,b
Definition
(x,y)=(x+a,y+b)
Term
Transformation Dk
Definition
(x,y)=(kx,ky)
Term
Transformation R90°
Definition
(x,y)=(-y,x)
Term
Tranformation R180°
Definition
(x,y)=(-x,-y)
Term
Tranformation R270°
Definition
(x,y)=(y,-x)
Term
In a circle, a radius perpindicular to a chord __________ the chord
Definition
bisects
Term
Intersecting Chords Rule:
Definition
(segment part)x(segment part)=(segment part)x(segment part)
Term
Secant-secant rule:
Definition
(whole secant)x(external part)=(whole secant)x(external part)
Term
Secant-tangent Rule:
Definition
(whole secant)x(external part)=(tangent)squared
Term
What is the Hat Rule?
Definition
Two tangents are equal
Term
Central angle =
Definition
arc
Term
Inscribed angle =
Definition
half arc
Term
Angle by tangent/chord=
Definition
half arc
Term
Angle formed by 2 chords=
Definition
half the sum of arcs
Term
Angle formed by two tangents, or 2 secants, or a tangent/secant =
Definition
half the difference of arcs
Term
To find m, or slope
Definition

y²-y¹

_____

x²-x¹

Term
What is the formula for slope-intercept?
Definition
y=mx+b
Term
What is the formula for point-slope?
Definition
y-y1=m(x-x1)
Term
What is the distance formula?
Definition
[image]
Term
What is the midpoint formula?
Definition
[image]
Term
What is the equation of circle center at origin?
Definition
x²+y²=r²
Term
What is the equation of circle not at the origin?
Definition
(x-h)²+(y-k)²=r²
Term
Formula of the volume of prism?
Definition
V=Bh
Term
What is the fomula of the volume of a pyramid?
Definition
V=1/3Bh
Term

Formula of Volume of cylinder?

The Surface area?

Definition

V=∏r²h

SA=2∏rh+2∏r²

Term

What is the formula for the volume of the cone?

The surface area?

Definition

V=1/3∏r²h

SA=s∏r+∏r²

Term

What is the formula for Volume of a sphere?

The surface area?

Definition

V=4/3∏r³

SA=4∏r²=∏d²

Term
How many faces does a Tetrahedron have?
Definition
4 faces
Term
How many faces does a cube have?
Definition
6 faces
Term
How many faces does a Octahedron have?
Definition
8 faces
Term
How many faces does a Dodecahedron have?
Definition
12 faces
Term
How many faces does a Icosahedron have?
Definition
20 faces
Term
By sides, expain the congruent sides of Scalene, Isosceles, and equilateral?
Definition

Scalene-no congruent sides

Isosceles- 2 congruent sides

Equilateral sides-3 congruent sides

Term
By angles, describe the difference between Acute, Right and obtuse
Definition

Acute-all acute angles

Right-one right angle

Obtuse-one obtuse angle

Term
Whats the differnce between Equiangular and Equilateral?
Definition

Equiangular-3 congruent angles (60°)

Equilateral is the same

Term
The exterior angle of a triangle equals the sum of the....?
Definition
sum of the 2 non-adjacent interior angles
Term
Mid-segment of a triangle is parallel to the ....?
Definition
third side and half the length of the third side
Term
Congruent Triangles can be:
Definition

SSS

SAS

ASA

AAS

HL (right triangles only)

no donkey theorm (SSA or ASS)

Term
How to prove a similar triangle:
Definition

AA

SSS for similarity

SAS for similarity

Corresponding sides of similar triangles are in proportion

Term
Each interioir angle (regular)
Definition
180(n-2)/n
Term
Sum of exterior angles=
Definition
360
Term
Each exterior angle (regular) =
Definition
360/n
Term
Converse means
Definition
switch if and then
Term
Inverse means?
Definition
negate if and then
Term
Contrapositive means?
Definition
inverse of the converse (contrapostive has the same truth value as the original statement.)
Term
Sum of the lenths of any two sides of a triangle is
Definition
greater than the length of the third side
Term
Longest side of a triangle is opposite the largest
Definition
angle
Term
Exterior angle of a triangle is greater than either of the
Definition
two non-adjacent interior angles
Term
Altitude rule:
Definition
part hyp altitude
________ = _________
altitude other part of hyp
Term
Leg rule
Definition

hyp     leg

____=_____

       leg      projection

Term
Pythagorean Theorem
Definition

a²+b²=c²

If this formula is true, then the triangle is a right triangle

Term
2 intersecting chords
Definition
m<2/m<1= 1/2 (mAB(arc)
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