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GRE - KAK > Geometry > Flashcards

Flashcards in Geometry Deck (29)
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1
Q

formula circumfrence of a circle

A

C = 2πr

2
Q

what is the 30-60-90 triangle and what are the proportions of its sides?

A

hypotenuse = 2(short leg)

long leg = root3(short leg)

it is what happens if you take half an equalateral triangle.

3
Q

How do you calculate the area of an equalateral triangle?

A
4
Q

What are the lengths (proportions) of the sides of a right isosceles triangle?

A
5
Q

A) What is a paralleogram?

B) What are the 4 propeties of parallelograms?

C)What is special about them?

A

A) a parallelogram is a quadrilateral with two pairs of parallel sides

B)

  1. opposite sides are parallel
  2. opposite sides ar equal
  3. opposite angles are equal
  4. diagnals bisect each other (the meet at the midpoint of the parallelogram)

C) If ANY are true ALL are true, if ANY are false ALL none are true

6
Q

What are 3 properties of inscribed angles

A
7
Q

What is the volume of a cube?

A
8
Q

What is the total surface area of a cube?

A
9
Q

How do you find an arc length?

A
10
Q

What is the formual for the sum of the interior angles of a polygon?

What is the formula for each interior angle of a polygon?

What is the sum of the exterior angles?

What is the formula for each exterior angle

A

Where n = number of sides

11
Q
A
12
Q

What is the formula for the circumference of a circle?

A
13
Q

If we know the length of two sides of a triangle (P and Q) then the length of the third unknown side (R) must be…?

A

P = known Q= known R = unknown

P-Q< R< P+Q

the unknown side must be larger than the difference of the kown sides, but smaller than their sum

14
Q

How do you find the volume of a rectangular solid?

A

V = h*w*d

Volume = height x width x depth

15
Q

How do you find the area of a triangle?

A
16
Q

Is approximately equal to?

A

22

7

17
Q

What is a trapezoid? what are its sides called?

A

A quadralateral that has exactly 1 pair of parallel sides

parallel sides = bases

non-parallel sides = legs

18
Q

What are the 4 pythagorean triplets that are common on the exam? What should be noted about them?

A

Each of the sides can be multipled by a constant to produce a new set e.g. 3, 4, 5 could be multiplied by 2 to give 6, 8, and 10

19
Q

Wha is the formula for the surface area of a cylinder?

A
20
Q

What is a 5 sided regular polygon called? What is a 6 sided regular polygon called?

A

5 sided - pentagon

6 sided hexagon

(sorry Katie - this super basic but I mess them up for some reason)

21
Q

What is the forumla for the area of a circle?

A
22
Q

What is the formula for the volume of a cylinder?

A

area of the base x height

23
Q

How do you find the area of a trapezoid?

A

Area = base x height

where the base is the average of the lengths of the two parrallel sides (bases)

24
Q

How do you find the space diagonal of a rectangular solid?

A

diagonal2 = width2 x length2 x height 2

25
Q

How do you find the space diagonal of a cube?

A

root3 * side

26
Q

Area of a circle

A
27
Q

What is the ratio of the circumferance to the diameter of a circle equal to?

A

pi

28
Q

An exterior angle of a triangle equals?

A
29
Q

a line tangent to a circle ________________

A

forms a 90 degree angle with the radius