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Geometry Formulas
Geometry Formulas
50 terms
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Geometry Formulas
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50 cards
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Questions
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Answers
1
What does the equation \frac{\left(n-2\right)180}{n} find?
Each exterior angle of a regular n-gon
Each interior angle of a regular n-gon
The sum of the exterior angles of a n-gon
The sum of the interior angles of an n-gon
2
Which side is adjacent to angle X?
B
X
C
A
3
What is this a picture of?
Angle Bisectors
Altitudes
Perpendicular Bisectors
Medians
4
What is V=\frac{4}{3}\pi r^3 used for?
Volume of a cylinder
Volume of a sphere
Volume of a pyramid
Volume of a cone
5
What are complementary angles?
Angles that form a line
Angles that add up to 90o
Congruent angles
Angles that add up to 180o
6
What is the distance formula?
\sqrt{\left(x_2-x_1\right)+\left(y_2-y_1\right)}
\sqrt{\left(x_2+x_1\right)-\left(y_2+y_1\right)}
\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}
\sqrt{\left(x_2-x_1)^2+(y_2-y_1\right)^2}
7
What equation would you use to solve for x?
angle=\frac{1}{2}\left(arc+arc\right)
part(part)=part(part)
angle=\frac{1}{2}arc
part(whole)=part(whole)
8
Is the following image a reduction or an enlargement?
Enlargement
Reduction
9
What would you use to solve for x?
sin-1
cos
sin
cos-1
10
What is the volume formula for this shape?
Bh
\frac{Bh}{3}
\frac{4}{3}\pi r^3
B+\frac{1}{2}Pl
11
To solve for x, which method should you use?
Boomerrang
Pythagorean Theorem
SOHOCATOA
heartbeat
12
What formula is \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)?
the distance formula
midpoint
midsegment of a triangle
slope
13
What is the hypotenuse of a 30-60-90 triangle?
x\sqrt{3}
x
2x
x\sqrt{2}
14
Which point of concurrency allows you to draw a circle around a triangle?
incenter
circumcenter
centroid
orthocenter
15
What formula would you use to find the volume of this figure?
\frac{4}{3}\pi r^3
Bh
\frac{bh}{2}
\frac{Bh}{3}
16
What is the Pythagorean Theorem used for?
Finding angle measures in triangles
Finding side lengths in all triangles
Finding side lengths in right triangles
Finding side lengths in quadrilaterals
17
What formula is used to find the area of a trapezoid?
A=\frac{1}{2}\left(b_1+b_2\right)h
A = bh
A = πr2
A=\frac{bh}{2}
18
What trig function would you use to solve for x?
sec
sin
tan
cos
19
What special segment in triangles in pictured below?
median
altitude
perpendicular bisector
angle bisector
20
How many sides does a nonagon have?
9
11
7
8
21
Which set of angles do NOT have a sum that equals 180?
same-side interior angles
complementary angles
linear pairs
supplementary angles
22
What is the missing side of this triangle?
12
5
4
3
23
Which side is the hypotenuse?
C
X
B
A
24
What does the B stand for in the volume formulas?
Length of the Base
Height of the Base
Area of the Base
Base
25
What is the formula 2πr
2
+ (2πr)h used for?
Volume of a Cylinder
Volume of a Cone
Surface Area of a Cylinder
Surface Area of a Cone
26
What do you use the inverse trig functions for? (sin
-1
, cos
-1
, tan
-1
)
Finding side lengths in right triangles
Finding angle measures in right triangles
Pythagorean Theorem
27
Why are the following triangles congruent?
AS
HL
SSA
Reflexive Property
28
When is my birthday?
May 1
May 5
May 3
May 7
29
What is a regular polygon?
a quadrilateral
a 2D figure
congruent sides and congruent angles
It looks normal
30
What is true about the following diagram?
AB is a diameter
Arc AB = 60
Arc AB = 120
PA = PB
31
What would you use to solve for x?
Pythagorean theorem
heartbeat
boomerrang
SOHCAHTOA
32
Which formula is used for area of a parallelogram?
A=\frac{1}{2}\left(b_1+b_2\right)h
A = bh
A=\frac{bh}{2}
A = πr2
33
What type of angles are 1 and 5?
Corresponding
Alternate Exterior
Same Side Exterior
Alternate Interior
34
How would you solve for TO?
Pythagorean theorem
SOHCAHTOA
guess
Boomerrang
35
What formula is used to find the surface area of a sphere?
2πr2 + (2πr)h
πrs + πr2
4πr2
\frac{4}{3}\pi r^3
36
What formula would you use to find arc length?
\frac{A}{\pi r^2}=\frac{x}{360}
arc = 2 ⋅ central angle
\frac{l}{2\pi r}=\frac{x}{360}
A = πr2
37
What type of angles are 1 and 3?
Vertical
Same Side Interior
Linear Pair
Corresponding
38
What formula is this?
Surface area of a sphere
Volume of a sphere
Area of a circle
Circumference
39
What do the h and k stand for in the equation of a circle?
The endpoint of the diameter
The center of the circle
The radius of the circle
A point on the circle
40
What formula would you use to find the volume of this figure?
\frac{Bh}{3}
\frac{1}{2}\left(b_1+b_2\right)h
Bh
\frac{4}{3}\pi r^3
41
Which equation is standard form?
y-y_{_1=}m\left(x-x_1\right)
y = mx + b
Ax + By = C
42
What equation is for the area of a regular polygon?
A = bh
A=\frac{1}{2}d_{_1}d_{_2}
A=\pi r^2
A=\frac{1}{2}aP
43
What equation would solve for x?
Part(Part)=(Part)(Part)
angle=\frac{1}{2}\left(arc+arc\right)
angle=\frac{1}{2}\left(big-small\right)
Part(Whole)=Part(Whole)
44
What equation would you use to solve for t?
angle=\frac{1}{2}\left(arc+arc\right)
tangent2 = part(whole)
part(whole)=part(whole)
(part)(part) = (part)(part)
45
What would you use to solve for x?
Add them to equal 360
Remote Exterior Angle Theorem
abba abba
Triangle Angle Sum Theorem
46
What is segment NP?
a diameter
a chord
a secant
a radius
47
What is line AB called?
Diameter
Chord
Secant
Tangent
48
What does the orthocenter do?
it's the center of gravity
it cuts the median into 1/3 and 2/3 pieces
allows you to draw a circle inside a triangle
nothing
49
What is true about the following diagram?
m∠A=m∠C
m∠A+m∠C=180
m∠C+m∠D=180
m∠A+m∠B=180
50
What combination can NOT prove triangles congruent?
SSA
HL
SAS
ASA
