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GMAT - Quant > Chapter 17: Geometry > Flashcards

Chapter 17: Geometry Flashcards

1
Q

What is the sum of the interior angles of a triangle?

A

180°

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2
Q

What is the sum of the exterior angles of a triangle?

A

360°

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3
Q

What is the formula for the area of a right triangle?

A

Area = 1/2 base x height

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4
Q

What is the triangle inequality theorem?

A

In any triangle, the sum of the lengths of any two sides is greater than the length of the third side

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5
Q

What is the ratio of the lengths of the sides of a 45-45-90 right triangle?

A

x : x : x√2

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6
Q

What is the ratio of the lenghts of the sides of a 30-60-90 right triangle?

A

x : x√3 : 2x

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7
Q

What is the formula for the area of an equilateral triangle?

A

A = (s2√3)/4

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8
Q

What is the formula for the area of a parallelogram?

A

base x height

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9
Q

What is the formula for the diagonal of a rectangle?

A

√(L2 +W2)

(This is also essentially the pythagorean theorem)

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10
Q

What is the formula for the area of a trapezoid?

A

((base1 + base2) x height)/2

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11
Q

What is the formula for the sum of the interior angles of a regular polygon?

A

(n-2) x 180, where n = the number of sides of the polygon

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12
Q

What is the sum of the interior angles of a hexagon?

A

720°

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13
Q

What is the formula for the area of a regular hexagon?

A

((3√3)/2)s2 where s = the length of one side of the hexagon

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14
Q

What is the sum of the exterior angles of a polygon?

A

360°

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15
Q

What is the formula for the circumference of a circle?

A

π2r or πd, where r = the radius and d = the diameter

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16
Q

What is the formula for the area of a circle?

A

A = πr2

17
Q

What is the three-part ratio for any circle?

A

central angle/360 = arc length/circumference = area of sector/area of circle

18
Q

What is the degree measure of an inscribed angle of a circle, compared to the degree measure of the arc it intercepts?

A

one half

19
Q

What is the formula for the shaded regions of a figure?

A

Area of the figure - the area of the unshaded regions

20
Q

What is the formula for the area of a circular ring?

A

Area = π(R22 - R12)

21
Q

What is the formula for the volume of a cube?

A

side3

22
Q

What is the formula for the volume of a rectangular solid?

A

lengh x width x height

23
Q

What is the formula for the length of a diagonal drawn within the interior of a rectangular solid?

A

d = l2 + w2 + h2

24
Q

What is the formula for the surface area of a cube?

A

6s2, where s = the length of one side

25
Q

What is the formula for the surface area of a rectangular solid?

A

2(LW) + 2(LH) + 2(WH)

26
Q

What is the formula for the volume of a cylinder?

A

πr2h, aka circumference x height

27
Q

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

A

2πr2 + 2πrh

28
Q

What is the formula for time when filling a container?

A

Time = volume / rate of fill

GMAT - Quant (6 decks)

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