Geometry Flashcards

1
Q

Sum of Interior Angles

A

(n-2) x 180 = Sum of Interior Angles of a Polygon

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2
Q

Area of a Trapezoid

A

Average of Bases x Height

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3
Q

Surface Area of a Retangular Solid

A

Sum of all sides

6 sides

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4
Q

Volumne of a Retangular Solid

A

Length x Width x Height

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5
Q

Maximum and Minimum Triangle Sides

A

Think of a straight line

The third side has to be longer than the difference of the two other sides

(too small and it would be a straight line going inwards)

AND

the third slide but be smaller than the two sides added together

(too side and it would be a straight going outwards line)

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6
Q

What are thre three common right triangles?

A

3-4-5

(6-8-10)

(9-12-15)

(12-16-20)

5-12-13

10-24-36

8-15-17

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7
Q

A
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8
Q

What are the side lengths of an equalateral triangle?

A

x (30o)

x√3 (60o)

2x (90o)

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9
Q

Area of a Triangle

A

(Base x Height) / 2

or 1/2 of a square

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10
Q

Exterior Angles of a Triangle

A
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11
Q

Area of a Circle

A

A = π x Radius2

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12
Q

Circumference of a Circle

A

C = π x Diameter

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13
Q

What is the relationship between an inscribed and central angle of a circle?

A

An inscribed angle is an angle that has a vertex on the circle itself

A central angle has a vertex that is the center of the circle

The inscribed angle is 12/ the size of arc it intecetps

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14
Q

Inscribed triangle in a circle

A

If there is an inscrbied triangle in a circle, the triangle is a 90o triangle

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15
Q

Volumne of a Cylinder

A

V = π x Radius2 x Height

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16
Q

Coordinate Plane

A

II I

III IV

17
Q

Forumla for Slope

A

“Rise over Run”

Y2 - Y1

X2 - X1

18
Q

What is the slope-intercept form fro a line with the equation 6x + 3y = 18?

A

6x + 3y = 18

3y = 18 - 6x

y = 6 - 2x

y = -2x + 6

Slope = -2

19
Q

What is the distance between (1,3) and (7,-5)

A

Use pythagorean theorem

Rise = Difference in Y values

Run = Difference in X values

20
Q

Length of a diagonal

A

w2 + l2 + h2 = d2