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Study sets matching "gmat geometry"

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Study sets matching "gmat geometry"

42 terms
GMAT: Geometry
Right triangle ratio sets (AKA Pythago…
Isosceles triangle
Sides of a 45, 45, 90 right triangle (…
Sides of a 30,60,90 right triangle
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles Triangle ... Two equal sides ... Two equal angles
x, x, x√2... Has a right angle ( (90°), and also two equal angles
x, x√3, 2x
Right triangle ratio sets (AKA Pythago…
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles triangle
Isosceles Triangle ... Two equal sides ... Two equal angles
13 terms
GMAT Geometry
Right triangle ratio sets
Sides of a 45, 45, 90 right triangle
Sides of a 30,60,90 right triangle
Pythagorean Theorem- right triangle
3:4:5, 5:12:13
x, x, x with square root of 2
x, x with the square root of 3, 2x
a2 + b2 = c2
Right triangle ratio sets
3:4:5, 5:12:13
Sides of a 45, 45, 90 right triangle
x, x, x with square root of 2
29 terms
GMAT: Geometry
180°
360°
y + z
x + z
x+y+z=
a+b+c=
a=
b=
180°
x+y+z=
360°
a+b+c=
38 terms
GMAT - Geometry
180°
a = a... b = b
c = c... d = d
180°
a + b =
Congruent angles?
Congruent angles?
c + d =
180°
a + b =
a = a... b = b
Congruent angles?
44 terms
GMAT - Geometry
180°
a = a... b = b
c = c... d = d
180°
a + b =
Congruent angles?
Congruent angles?
c + d =
180°
a + b =
a = a... b = b
Congruent angles?
29 terms
GMAT: Geometry
180°
360°
y + z
x + z
x+y+z=
a+b+c=
a=
b=
180°
x+y+z=
360°
a+b+c=
58 terms
GMAT Geometry
what is the formula for the AREA of an…
what is the side length formula for a…
what are the proportions of a 30-60-90…
what are the proportions of a 45-45-90…
1/2 base * height (perpendicular)
30: x... 60: x√3... 90: 2x
45: x... 45: x... 90: x√2
what is the formula for the AREA of an…
1/2 base * height (perpendicular)
what is the side length formula for a…
49 terms
GMAT Geometry
Diameter
3 Things to Remember
Pythagorean Theorem
Straight Line
Must be indicated but it is the length of one side of the cir…
1.) If they don't tell you, don't assume... 2.) If they give you…
A^2 + B^2= C^2
Shortest distance between 2 points. As an angle it is 180 deg…
Diameter
Must be indicated but it is the length of one side of the cir…
3 Things to Remember
1.) If they don't tell you, don't assume... 2.) If they give you…
24 terms
GMAT geometry
Area of an equilateral triangle
30-60-90 right triangle ratio
45-45-90 right triangle ratio
Similar triangles
(s²√3)/4
1:√3:2
1:1:√2
1. Angle, Angle, Angle... 2. Side, Angle, Side... 3. Side, Side, Side
Area of an equilateral triangle
(s²√3)/4
30-60-90 right triangle ratio
1:√3:2
34 terms
GMAT Geometry
Triangle Inequality Theorem
Three Pythagorean triplets
Area of parallelogram
Sum of angles in shape with n sides
In triangle with sides x,y,z, y - z < x < y + z
3-4-5, 5-12-13, 7-24-25
b*h where b is perpendicular to h
(n - 2)*180
Triangle Inequality Theorem
In triangle with sides x,y,z, y - z < x < y + z
Three Pythagorean triplets
3-4-5, 5-12-13, 7-24-25
48 terms
GMAT: Geometry
Line
Ray
Line Segment
Angles
Passes through two points and goes on forever in both directi…
Starts at one point and goes on forever
Starts at one point and ends at another
Measured in degrees and formed by the intersection of 2 lines
Line
Passes through two points and goes on forever in both directi…
Ray
Starts at one point and goes on forever
23 terms
GMAT: Geometry
Sum of the interior angles of a polygo…
Area of a square
Area of a rectangle
Area of a trapezoid
(n-2) x 180 = Sum of Interior Angles of a Polygon ... n = numbe…
side x side = side^2
length x width
( (base1 + base2) x height ) / 2
Sum of the interior angles of a polygo…
(n-2) x 180 = Sum of Interior Angles of a Polygon ... n = numbe…
Area of a square
side x side = side^2
48 terms
GMAT: Geometry
Line
Ray
Line Segment
Angles
Passes through two points and goes on forever in both directi…
Starts at one point and goes on forever
Starts at one point and ends at another
Measured in degrees and formed by the intersection of 2 lines
Line
Passes through two points and goes on forever in both directi…
Ray
Starts at one point and goes on forever
42 terms
GMAT: Geometry
Right triangle ratio sets (AKA Pythago…
Isosceles triangle
Sides of a 45, 45, 90 right triangle (…
Sides of a 30,60,90 right triangle
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles Triangle ... Two equal sides ... Two equal angles
x, x, x√2... Has a right angle ( (90°), and also two equal angles
x, x√3, 2x
Right triangle ratio sets (AKA Pythago…
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles triangle
Isosceles Triangle ... Two equal sides ... Two equal angles
58 terms
Geometry GMAT
Parallelogram
Sum of interior angles of a parallelog…
Rectangle
Rhombus
Opposite sides and opposite angles equal
180*(n-2) where n is the number of sides
All angles 90 degrees, opposite sides equal
Opposite angles equal, all sides equal
Parallelogram
Opposite sides and opposite angles equal
Sum of interior angles of a parallelog…
180*(n-2) where n is the number of sides
70 terms
GMAT GEOMETRY
Polygon
Angle
Ray
Acute Angle
A two-dimensional, closed shape made of line segments. For ex…
A figure formed by two lines sharing a common endpoint.
A straight line extending from a point.
An angle less than 90° and greater than 0°... /_
Polygon
A two-dimensional, closed shape made of line segments. For ex…
Angle
A figure formed by two lines sharing a common endpoint.
67 terms
GMAT Geometry
Two or more angles on a straight line…
Supplementary
Vertical angles are...
Sum of angles in a triangle
180
Angles on a straight line
Congruent
180 degrees
Two or more angles on a straight line…
180
Supplementary
Angles on a straight line
35 terms
GMAT geometry
Area
Radius
Radius line segments are alike?
Diameter
Area= ~r2 (pi r squared)
The distance between the center of the circle and a point on…
All radii in the same circle have the same length
Two radio laid end to end so 2x the length of the radius or d…
Area
Area= ~r2 (pi r squared)
Radius
The distance between the center of the circle and a point on…
18 terms
GMAT Geometry Conversions & Formulas
To convert one unit to another (ex: ch…
To convert one unit to another when Ar…
Look Big & Look Small
Wherever there are more than two trian…
Multiply the original unit by the unit conversion fraction (M…
Multiply the original unit by the unit conversion fraction, B…
Details of a relevant geometric relationship may be right nex…
especially if parallel lines of some kind are involved,
To convert one unit to another (ex: ch…
Multiply the original unit by the unit conversion fraction (M…
To convert one unit to another when Ar…
Multiply the original unit by the unit conversion fraction, B…
5 terms
GMAT Geometry
Distance between 2 points
30:60:90
Area Trapezoid
SA Cylinder
√(x2- x1)^2 + (y2-y1)^2
1:√3:2
(B1+B2)(h)(1/2)
2πr^2+2πrh
Distance between 2 points
√(x2- x1)^2 + (y2-y1)^2
30:60:90
1:√3:2
48 terms
GMAT Geometry
Circumference of Circle
Diameter of Circle
Area of Circle
Area of Circle Sector
C = π × d or C = 2 × π × r
d = 2r
A = π × r²
A = πr² then, use central angle to determine what fraction of…
Circumference of Circle
C = π × d or C = 2 × π × r
Diameter of Circle
d = 2r
81 terms
Geometry - GMAT
Lines
The sum of 2 angles on one side of a l…
parallel lines on a dimensional plane
Two perpendicular lines
straight lines that never alter direction
is always 180 degrees
will never intersect
are at 90 degrees to each other
Lines
straight lines that never alter direction
The sum of 2 angles on one side of a l…
is always 180 degrees
15 terms
GMAT Geometry
Cube
Rectangular prism
Cylinder
Pyramid
a^3
A x B x C
B x H = [pi] r^ 2 h
(1/3) b h
Cube
a^3
Rectangular prism
A x B x C
49 terms
GMAT Geometry
Acute angle
Right angle
Obtuse angle
Straight
Less than 90 degrees
90 degrees
90<x<180
180 degrees
Acute angle
Less than 90 degrees
Right angle
90 degrees
GMAT Geometry
Area of triangle
Area of rectangle
Area of trapezoid
Surface Area
(1/2)bh
Length x Width
(base 1 + base 2) x Height /2
= SUM of all areas
Area of triangle
(1/2)bh
Area of rectangle
Length x Width
48 terms
GMAT: Geometry
Line
Ray
Line Segment
Angles
Passes through two points and goes on forever in both directi…
Starts at one point and goes on forever
Starts at one point and ends at another
Measured in degrees and formed by the intersection of 2 lines
Line
Passes through two points and goes on forever in both directi…
Ray
Starts at one point and goes on forever
15 terms
Gmat: Geometry
Intersecting Lines and Angles... If two…
Intersecting Lines and Angles... If two…
Triangles... The sum of the interior ang…
Triangles... For any and all triangles,... t…
vertical angles
equal
180°
greater
Intersecting Lines and Angles... If two…
vertical angles
Intersecting Lines and Angles... If two…
equal
33 terms
GMAT - Geometry
Sum of interior angels of a polygon
Area of a trapezoid
Area of a Parallelogram
Surface Area of 3D figure
(n-2) x 180, where n is the number of a sides in a polygon
(Base₁ × Base₂) x Height... ---------------------... 2
Base x Height
the sum of the areas of each face of the figure
Sum of interior angels of a polygon
(n-2) x 180, where n is the number of a sides in a polygon
Area of a trapezoid
(Base₁ × Base₂) x Height... ---------------------... 2
8 terms
GMAT Geometry - Circles
How do we find the Arclength (Length o…
The arc measure is the same as...
The formula for a Circle's Circumferen…
72° is what % of the entire circle
setup this Part to Whole proportion
The central angle
2πr
20% or 1/5 of 360°
How do we find the Arclength (Length o…
setup this Part to Whole proportion
The arc measure is the same as...
The central angle
27 terms
GMAT: Geometry2
A rectangular flat sheet of metal is t…
There are 2 points on a graph (0,3) (6…
What is the greatest distance between…
If the area of triangular region RST i…
For this problem, the first important step is to recognize th…
Solution: B... Given two points, determine the equation for the…
For these three-dimensional, greatest-distance problems, *rec…
Solution: B... Leverage your assets. Statement 1 is not sufficie…
A rectangular flat sheet of metal is t…
For this problem, the first important step is to recognize th…
There are 2 points on a graph (0,3) (6…
Solution: B... Given two points, determine the equation for the…
10 terms
GMAT-Geometry
trapezoid
parallelogram
(n-2) x 180
base x height / 2
one pair of opposite sides is parallel
opposite sides and opposite angles are equal
sum of interior angles of a polygon
area of a triangle
trapezoid
one pair of opposite sides is parallel
parallelogram
opposite sides and opposite angles are equal
37 terms
GMAT Math - Geometry
180°
a = a... b = b
c = c... d = d
180°
a + b =
Congruent angles?
Congruent angles?
c + d =
180°
a + b =
a = a... b = b
Congruent angles?
24 terms
Empower GMAT Geometry
Triangle Area
Common Pythagorean Triangles
30-60-90 Triangle
45-45-90 Triangle
1/2b*h
3,4,5 ; 5,12,13 (and their multiples)
Triangle Area
1/2b*h
Common Pythagorean Triangles
3,4,5 ; 5,12,13 (and their multiples)
16 terms
GMAT Coordinate Geometry Copy
Find distance between two points
Find the MidPoint of the X-corrdinate…
Find the MidPoint of the Y-corrdinate…
Eqn of a Line Passing Thru one Point
Find distance between two points
Find the MidPoint of the X-corrdinate…
16 terms
GMAT Geometry general rules
Parallelogram property
Parallel Lines
Horizontal Lines have
Vertical Lines have
If Parallelogram has 1 rt angle, all of its angles are rt (90)
Have no intersection point
Zero slope
undefined slope
Parallelogram property
If Parallelogram has 1 rt angle, all of its angles are rt (90)
Parallel Lines
Have no intersection point
31 terms
Manhattan GMAT Prep Geometry
Universal Sum of Interior angles Equat…
Are the Units of a Polygon's Area squa…
Area of a triangle
Area of a rectangle
(n-2)180
yes
1/2(B*H)
L*W
Universal Sum of Interior angles Equat…
(n-2)180
Are the Units of a Polygon's Area squa…
yes
11 terms
GMAT Geometry - Volumes & Surface Area
How many Faces on a Cube?
How Many Vertices (corners) on a Cube?
How Many Edges on a Cube?
Formula for Volume of a Cube?
6
8
12
V = length x width x height
How many Faces on a Cube?
6
How Many Vertices (corners) on a Cube?
8
34 terms
GMAT PREP - Geometry
if the lengths of two sides of a trian…
area of a triangle
isosceles triangle
triangles with same angles but double…
the greater angle lies opposite the longer side
.5bh
two sides have equal length----because of this the two angles…
4 times bigger.
if the lengths of two sides of a trian…
the greater angle lies opposite the longer side
area of a triangle
.5bh
13 terms
GMAT: Geometry - Triangles
The largest angle is opposite
If two sides are equal, their opposite…
The sum of any two sides of a triangle…
Length of 1 side of a triangle must be…
The largest side
Equal
Greater
The difference between the lengths of the other 2 sides
The largest angle is opposite
The largest side
If two sides are equal, their opposite…
Equal
20 terms
GMAT Geometry general rules
Parallelogram property
Parallel Lines
Horizontal Lines have
Vertical Lines have
If Parallelogram has 1 rt angle, all of its angles are rt (90)
Have no intersection point
Zero slope
undefined slope
Parallelogram property
If Parallelogram has 1 rt angle, all of its angles are rt (90)
Parallel Lines
Have no intersection point
8 terms
GMAT Geometry - Circles
How do we find the Arclength (Length o…
The arc measure is the same as...
The formula for a Circle's Circumferen…
72° is what % of the entire circle
setup this Part to Whole proportion
The central angle
2πr
20% or 1/5 of 360°
How do we find the Arclength (Length o…
setup this Part to Whole proportion
The arc measure is the same as...
The central angle
33 terms
Manhattan GMAT - Geometry
The sum of the interior angles of a po…
The area of a triangle is
The area of a trapezoid is
The area of a parallelogram is
(n-2) x 180
(base x height) / 2
(average of the two parallel sides) x height
base x height
The sum of the interior angles of a po…
(n-2) x 180
The area of a triangle is
(base x height) / 2
16 terms
GMAT Math Prep (Geometry)
Area of a Square
Area of a Rectangle
Three types of triangles
Area of Triangle... What sides do we use
Side x Side
Length x Width
Right - 90 degree angle... Isosceles- Two sides that are equal i…
B x H / 2 ... Side 1 * side 2 not hypotenuse
Area of a Square
Side x Side
Area of a Rectangle
Length x Width
42 terms
GMAT: Geometry - 2
Right triangle ratio sets (AKA Pythago…
Isosceles triangle
Sides of a 45, 45, 90 right triangle (…
Sides of a 30,60,90 right triangle
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles Triangle ... Two equal sides ... Two equal angles
x, x, x√2... Has a right angle ( (90°), and also two equal angles
x, x√3, 2x
Right triangle ratio sets (AKA Pythago…
3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41
Isosceles triangle
Isosceles Triangle ... Two equal sides ... Two equal angles
32 terms
GMAT Math - Geometry
convex polygon
(f) perimeter of a polygon
(f) sum of polygon interior angles
name of the side of a triangle opposit…
A polygon with interior angles that measure less than 180 deg…
sum of the lengths of its sides
(n-2)180... n = the number of sides of the polygon
hypotenuse
convex polygon
A polygon with interior angles that measure less than 180 deg…
(f) perimeter of a polygon
sum of the lengths of its sides
16 terms
gmat geometry ch 3
parallelogram
rectangle
square
trapezoid
opposite sides and opposite angles are equal
all angles are 90 degrees opposite sides are equal
all sides are equal and all angles are 90 degrees
one pair of opposite sides is parallel. in this case, the top…
parallelogram
opposite sides and opposite angles are equal
rectangle
all angles are 90 degrees opposite sides are equal
75 terms
GMAT GEOMETRY 3
Polygon
Angle
Ray
Acute Angle
A two-dimensional, closed shape made of line segments. For ex…
A figure formed by two lines sharing a common endpoint.
A straight line extending from a point.
An angle less than 90° and greater than 0°... /_
Polygon
A two-dimensional, closed shape made of line segments. For ex…
Angle
A figure formed by two lines sharing a common endpoint.
30 terms
GMAT Study Terms Geometry
Integer
Composite Number
Angle
Right Angle
A whole number, not a fraction. A thing completes in itself.
A number that can be divided evenly by a number other than 1…
(Geometry) Intersection of 2 lines measured in degrees. Angle…
90 degree angle.
Integer
A whole number, not a fraction. A thing completes in itself.
Composite Number
A number that can be divided evenly by a number other than 1…
26 terms
GMAT Quant - geometry
A right triangle inscribed in a circle…
if two angles inscribed in a circle sh…
30-60-90 triangle proportions
45-45-90 triangle proportions
A right triangle inscribed in a circle will have a diameter o…
then the two angles are the same measure
x (short side)... x*sqrt(3) (long side)... 2x (hypo)
x = leg... x = leg... x*sqrt(2) = hypotenuse
A right triangle inscribed in a circle…
A right triangle inscribed in a circle will have a diameter o…
if two angles inscribed in a circle sh…
then the two angles are the same measure
70 terms
GMAT Geometry & Word Problems
lines
line segment
end points
vertical angles
straight line that extends in both directions
part of a line between two end points
the beginning end ending of a line segment
if two lines intersect, the opposite angles are called vertic…
lines
straight line that extends in both directions
line segment
part of a line between two end points
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