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Plane Geometry Formulas Flashcards | StudBud
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Plane Geometry Formulas
Plane Geometry Formulas
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Review of all formulas for Plane Geometry Level 2
Flashcards
28 cards
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Questions
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Answers
1
What is
the sum of the measures of the interior angles of a convex n-gon?
(n represents the number of sides)
2n + 180°
(2-n) * 180°
180° * (n-2)
(n-2) + 180°
2
What is the
volume formula for a pyramid or cone?
1/3 Bh
2B + Ph
Bh
B + 1/2 Pl
3
What is the formula for the
surface area of a sphere?
\pi r^2+\pi rl
4\pi r^2
\frac{4}{3}\pi r^3
\frac{1}{3}\pi rh
4
What is
the sum of the measures of a triangle?
360°
90°
180°
(n-2) * 180°
5
What is the
ratio of sides in a 45-45-90
right triangle?
AC : CB : BC = x : x : x√3
AC : CB : BC = x : x√3 : 2x
AC : CB : BC = x : x : x√2
AC : CB : BC = x : x√2 : 2x
6
What is the formula for the
exterior angle of a triangle?
m<1 = m<B - m<A
m<1 = m<B + m<A
m<1 = m<B * m<A
m<1 = m<B / m<A
7
What is the
pythagorean theorem?
a2 = b2 = c2
a2 - b2 = c2
a2 + b2 = c2
a2 / b2 = c2
8
What is the
slope formula?
\sqrt{\left(x-x\right)^2+\left(y-y\right)^2}
\left(\frac{(x+x}{2},\frac{y+y}{2}\right)
\frac{y_2-y_1}{x_2-x_1}
\left(x-h\right)^2+\left(y-k\right)^2=r^2
9
What is the
standard form of a circle?
\left(\frac{(x+x}{2},\frac{y+y}{2}\right)
\frac{y_2-y_1}{x_2-x_1}
\left(x-h\right)^2+\left(y-k\right)^2=r^2
\sqrt{\left(x-x\right)^2+\left(y-y\right)^2}
10
What is the
ratio of a cosine function?
(use the picture to help you)
cos A = BC/AB
cos A = AB/BC
cos A = AC/AB
cos A = AB/AC
11
What is the
ratio of sides in a 30-60-90
right triangle?
AC : CB : BC = x : x : x√2
AC : CB : BC = x : x : x√3
AC : CB : BC = x : x√3 : 2x
AC : CB : BC = x : x√2 : 2x
12
What is the
distance formula?
\left(x-h\right)^2+\left(y-k\right)^2=r^2
\sqrt{\left(x-x\right)^2+\left(y-y\right)^2}
\left(\frac{(x+x}{2},\frac{y+y}{2}\right)
\frac{y_2-y_1}{x_2-x_1}
13
What is the
measure of a segment formed by two chords?
EA = EB
EB2 = EA * EC
EA * EC = EB * ED
14
What is the
measure of a segment formed by two secants?
EA = EB
EB2 = EA * EC
EA * EC = EB * ED
15
What is the
measure of an angle formed by two secants?
m<4 = 1/2 (m⌢BC - m⌢AB)
m<4 = 1/2 (m⌢ABC - m⌢CD)
m<4= 1/2 (m⌢CD + m⌢AB)
m<4 = 1/2 (m⌢CD - m⌢AB)
16
What is the
midpoint formula?
\left(\frac{(x+x}{2},\frac{y+y}{2}\right)
\sqrt{\left(x-x\right)^2+\left(y-y\right)^2}
\frac{y_2-y_1}{x_2-x_1}
\left(x-h\right)^2+\left(y-k\right)^2=r^2
17
What is the
surface area formula for a prism or cylinder?
B + 1/2 Pl
Bh
1/3 Bh
2B + Ph
18
What is the
quadratic formula?
ax^2+bx+c=0
\frac{b\pm\sqrt{-b^2+4ac}}{2a}
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
ax^2+bx=c
19
What is the
measure of an angle formed by two tangents?
m<3 = 1/2 (m⌢BQ - m⌢AB)
m<3 = 1/2 (m⌢BQ + m⌢AB)
m<3 = 1/2 (m⌢AQ - m⌢AB)
m<3 = 1/2 (m⌢AQB - m⌢AB)
20
What is the
surface area formula for a pyramid or cone?
Bh
B + 1/2 Pl
1/3 Bh
2B + Ph
21
What is the
ratio of a sine function?
(use the picture to help you)
sin A = AB/BC
sin A = BC/AC
sin A = AB/AC
sin A = BC/AB
22
What is the
ratio of a tangent function?
(use the picture to help you)
tan A = BC/AC
tan A = AB/AC
tan A = AC/AB
tan A = AB/BC
23
What is the
measure of a segment formed by two tangents?
EA = EB
EB2 = EA * EC
EA * EC = EB * ED
24
What is the formula for the
volume of a sphere?
\frac{1}{3}\pi rh
\pi r^2+\pi rl
4\pi r^2
\frac{4}{3}\pi r^3
25
What is the
measure of an angle formed by two chords?
m<1 = 1/2 (m⌢ABC - m⌢CD)
m<1 = 1/2 (m⌢BC - m⌢AB)
m<1 = 1/2 (m⌢CD + m⌢AB)
m<1 = 1/2 (m⌢CD - m⌢AB)
26
What is the
measure of a segment formed by a tangent and a secant?
EA = EB
EB2 = EA * EC
EA * EC = EB * ED
27
What is the
measure of an angle formed by a tangent and a secant?
m<2 = 1/2 (m⌢CD - m⌢AB)
m<2 = 1/2 (m⌢ABC - m⌢CD)
m<1 = 1/2 (m⌢CD + m⌢AB)
m<2 = 1/2 (m⌢BC - m⌢AB)
28
What is the
volume formula for a prism or cylinder?
B + 1/2 Pl
2B + Ph
Bh
1/3 Bh
