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Geometry Formulas and Equations
Geometry Formulas and Equations
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1
What is the formula for cosine?
Opposite over adjacent
Adjacent over hypotenuse
Adjacent over opposite
Hypotenuse over adjacent
2
Rotate 90° clockwise
\left(a,b\right)⇒\left(b,-a\right)
\left(a,b\right)⇒\left(-a,-b\right)
\left(a,b\right)⇒\left(b,a\right)
\left(a,b\right)⇒\left(-b,a\right)
3
The formula for surface area of cylinder:
2⫪r2 x 2⫪rh2
2⫪rx 2⫪rh
2⫪r2 + 2⫪rh
4
What is the circumference formula?
C=4πr^2
C=Bh
C=2πr
C=πd
5
A dilation that is an enlargement must have a scale factor that is:
a fraction
less than 1
equal to 1
greater than 1
6
Transitive Property
If a=b and b=c, then a=c
If a=b, then b=a
a=a
If a=b, then ac = bc
7
Distance Formula = ?
d=\sqrt{(x_2-x_1)+(y_2-y_1)}
d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d=\sqrt{(x_2+x_1)-(y_2+y_1)}
8
What is the formula of the volume of a Cylinder?
V=\pi r^2
V=\frac{4}{3}\pi r^2h
V=\frac{1}{3}\pi r^2h
V=\pi r^2h
9
What is the equation of a circle?
(x+h)2 - (y+k)2 = r2
(y+k)2 + (x-h)2 = r2
(x-h)2 + (y-k)2 = r2
(x+h)2 - (y-k)2 = r2
10
The midsegment of a triangle is...
half the length of one side of the triangle
none of the above
all of the above
parallel to one side of the triangle
11
If the vertex of angle is inside the circle, then the angle measure is ______________________
b.
a.
c.
12
What is the formula for area of a triangle?
A = (d1 x d2) / 2
A = (b + a)xh / 2
A = (b x h) / 2
A = d1 x d2
13
What is the Formula of Sine?
Hypotenuse/Opposite
Adjacent/Opposite
Opposite/Hypotenuse
None of them
14
The Triangle Inequality Theorem:
The sum of 3 sides must be equal to 10
The sum of 2 sides must be greater than the third side
The sum of 2 sides must be less than the third side
The sum of 2 sides must be equal to the third side
15
Rotate 180° counterclockwise
\left(a,b\right)⇒\left(b,-a\right)
\left(a,b\right)⇒\left(b,a\right)
\left(a,b\right)⇒\left(-b,a\right)
\left(a,b\right)⇒\left(-a,-b\right)
16
What is the formula for the area of a trapezoid?
A = s2
A = 1/2(b1 + b2)h
A = bh
A = 1/2bh
17
What is the formula for Law of Cosines?
a^2 = b^2 + c^2 - 2(b)(c) * cos(A)
Sin A / Sin B
a / Sin A = b / sin B = c / sin C
Sin A / a = Sin B / b = Sin C / c
18
The volume of a sphere is
(4/3)πr3
(1/3)Bh
4πr2
πr2+πrl
19
What is the formula for the volume of a cone?
v=b×h
v= 1/3πr2h
v=πr2h
v=4/3πr3
20
What is the formula for Law of Sines?
a^2 = b^2 + c^2 - 2(b)(c) * cos(A)
Sin A / a = Sin B / b = Sin C / c
Sin A / Sin B
a / Sin A = b / sin B = c / sin C
21
A central angle is
equal to its intercepted arc
1/2 its intercepted arc
always supplementary to its intercepted arc
2 times its intercepted arc
22
Reflect over y=x
\left(a,b\right)⇒\left(-b,a\right)
\left(a,b\right)⇒\left(b,a\right)
\left(a,b\right)⇒\left(-a,-b\right)
\left(a,b\right)⇒\left(b,-a\right)
23
What is the appropriate volume formula?
Neither
V = Bh
V = (1/3)Bh
24
The formula for the surface area of a sphere is:
SA = πr2+πrl
SA = πr2
SA = 4πr2
SA = πr2h
25
What is the formula for the arc length of a circle?
πr2
\frac{θ}{360}
\frac{θ}{360}\cdot2\pi r
\frac{θ}{360}\cdot\pi r^2
26
What is the formula for surface area of the rectangular prism?
8W + 8H + 8L
8(L * W * H)
1/2(L * W * H)
2(L * W) + 2(W * H) + 2(L * H)
27
If the vertex of angle is outside the circle, then the angle measure is ______________________
b.
a.
c.
28
What is the formula to find the surface area of a pyramid?
B + 1/2 P
B+ 1/2 Pl
B + 1/2 l
B + Pl
29
Rotate 90° counterclockwise
\left(a,b\right)⇒\left(-a,-b\right)
\left(a,b\right)⇒\left(b,-a\right)
\left(a,b\right)⇒\left(-b,a\right)
\left(a,b\right)⇒\left(b,a\right)
30
Symmetric Property
If a=b, then b=a
a x 0 = 0 x a = 0
a=a
If a=b and b=c, then a=c
31
What is the midpoint formula?
\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)
\left(\frac{x_1-y_1}{2},\frac{x_2-y_2}{2}\right)
\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)
\left(\frac{y_1+x_1}{2},\frac{y_2+x_2}{2}\right)
32
What is the slope formula?
\frac{x_2-y_2}{x_1-y_1}
\frac{y_2-x_2}{y_1-x_1}
\frac{x_2-x_1}{y_2-y_1}
\frac{y_2-y_1}{x_2-x_1}
33
Which equation represents slope-intercept form?
m = y2-y1/x2-x1
Ax + By = C
y = mx + b
y - y1= m(x-x1)
34
What is the Formula of Tangent?
Opposite/Hypotenuse
Adjacent/Hypotenuse
Opposite/Adjacent
Adjacent/Opposite
35
A dilation that is a reduction must have a scale factor that is:
less than 1
a fraction
greater than 1
less than 0
36
The opposite angles of an inscribed quadrilateral _____
are congruent
are complementary
are supplementary
add to 360o
37
Point-Slope Form is
ax + by = c
m = (x1 - x2) / (y1 - y2)
y = mx + b
y-y_1=m\left(x-x_1\right)
38
Rotate 270° counterclockwise
\left(a,b\right)⇒\left(b,a\right)
\left(a,b\right)⇒\left(-b,a\right)
\left(a,b\right)⇒\left(-a,-b\right)
\left(a,b\right)⇒\left(b,-a\right)
39
The formula for the surface area of a cone is:
SA = πr2+πrl
SA = πr2
SA = 4πr2
SA = πr2h
40
What is the appropriate volume formula?
V = Bh
Neither
V = (1/3)Bh
41
The Pythagorean Theorem is ______________________.
The squares of the legs of a right ∆ is = to the square of the Hypotenuse
The Product of the legs and hypotenuse of a ∆
The Sum of the angles in a triangle
A theory that states all triangles are equal.
42
What is the formula for area of a sector?
\frac{θ}{360}\cdot\pi r^2
\frac{θ}{360}\cdot2\pi r
πr2
\frac{θ}{360}
43
Reflect over y=-x
\left(a,b\right)⇒\left(b,a\right)
\left(a,b\right)⇒\left(-b,-a\right)
\left(a,b\right)⇒\left(-a,-b\right)
\left(a,b\right)⇒\left(-b,a\right)
44
What is the formula for area of a circle?
A = πd
A = lw
A = πr2
A = Cπ
45
What is the area formula of a rectangle?
A = lwh
A = l + l + w + w
A = lw
A = 2l + 2w
46
The sum of interior angles can be found by:
Guessing
S = (n+2) x 180
Asking your neighbor for the answer
S = (n-2) x 180
47
Reflexive Property
If a=b, then b=a
a = a
If a=b and b=c, then a=c
a x 0 = 0 x a =0
48
A line has slope
m
. What slope does a perpendicular line have?
-1/m
-m
1/m
m
49
What is the formula to find the area of the parallelogram?
Area = base x height
Area = length x width
Area = 1/2 length x width
Area = length x width x height
