Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

GMAT > Geometry > Flashcards

Geometry Flashcards

1
Q

Angles less than 90

A

Acute Angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Angles between 90 - 180

A

Obtuse Angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Sum of all interior angles of pentagon =

A

540

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Sum of all interior angles of hexagon =

A

720

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Formula for sum of all interior angles of a shape

A

= ( n - 2 ) x 180

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Corner of a polygon is called

A

Vertex

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Area of Trapezoid

A

(Base1 + Base 2) x Height / 2

or

Average of two bases x Height

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

The side of the triangle opposite to the largest angle.

A

Hypotenuse

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Pythagorean Theorem

A

a^2 + b^2 = c^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Common right triangles’ sides:

A

3-4-5
5-12-13
8-15-17

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Ratio of lenghts of sides of a 45-45-90 triangle

A

x : x : x√2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Ratio of lengths of sides of a 30-60-90 triangle

A

x, 2x, x√3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

An exterior angle of a triangle is equal to

A

the sum of two non-adjacent (opposite) interior angles of the triangle.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Area of Triangle

A

Base x Height / 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Any line segment that connects two points on a circle

A

Chord

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Formula for circumference

A

C = π x d

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Area of a circle

A

A = π r^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Angle whose vertex lies at the center point of a circle.

A

Central Angle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Angle that has its vertex on the circle itself.

A

Inscribed Angle

20
Q

An inscribed angle is equal to

A

Half of the arc it intercepts

21
Q

Volume of cylinder

A

V = π r^2 h

22
Q

Quadrant Numbers

A

I (+,+)
II (-,+)
III (-,-)
IV (+,-)

23
Q

Formula for slope

A

rise/run

Ysub2 - Ysub1
/
Xsub2 - Xsub1

24
Q

Kinds of slope

A

Positive: rises from left to right
Negative: falls from left to right
Zero slope: horizontal
Undefined slope: vertical

25
Q

A point where a line intersects a coordinate axis

A

Intercept

26
Q

Formula for Linear Equation

A

y = mx + b

27
Q

Area of Rhombus

A

Diagonal 1 x Diagonal 2 / 2

28
Q

Quadrilateral with the biggest area

A

Square

29
Q

Quadrilateral with the smallest perimeter (though same area)

A

Square

30
Q

If you are given two sides of a triangle or parallelogram, how to maximize area?

A

Place the two sides perpendicular to each other.

31
Q

Area of an equilateral triangle 60-60-60 (in terms of side)

A

S^2 √ 3
/
4

32
Q

Ratio of area of two similar triangles with side length ratio of a:b

A

a^2 : b^2

33
Q

Formula for diagonal of a square

A

d = s x √2

34
Q

Formula for diagonal of a cube

A

d = s x √3

35
Q

Surface area of a cyclinder

A

= 2 (π r^2) + 2 π r h

36
Q

How to find equation of perpendicular bisector

A
  1. Find the negative reciprocal slope
  2. Find the midpoint of the two points by computing the average
  3. Plug into formula y = mx + b
37
Q

Parabola curve opens upward means value for A is

A

Positive

38
Q

Parabola curve opens downward means value for A is

A

Negative

39
Q

Parabola curve is narrow means | A | is

A

Large

40
Q

Parabola curve is wide means | A | is

A

Small

41
Q

Graph of a quadratic equation if b^2 - 4ac > 0

A

Intercepts y below origin

42
Q

Graph of a quadratic equation if b^2 - 4ac = 0

A

Intercepts at 0

43
Q

Graph of a quadratic equation if b^2 - 4ac < 0

A

Intercepts y above origin

44
Q

Deluxe Pythagorean Theorem for Rectangular Solids

A

d^2 = x^2 + y^2 + z^2

where x, y, and z are sides of the rectangular solid and d is the diagonal

45
Q

Regular Figures where you only need one measurement to know all other

A 
Squares
Equilaterals
Circles
Spheres
Cubes
45-45-90 Triangles
30-60-90 Triangles

GMAT (13 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions