\left(x-h\right)^2+\left(y-k\right)^2=r^2

\frac{1}{2}h\cdot\left(b_1+b_2\right)

\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}

P\left(1+\frac{r}{n}\right)^{nt}

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Acdec Geometry Formulas 2021

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Questions 30

Answers

1
Angle formed by the radius of a circle and a line tangent to the circle
Obtuse Angle
Right Angle
Acute Angle
2
Equation of a Circle
\left(x-h\right)^2-\left(y-k\right)^2=r^2
\left(x-h\right)^2+\left(y-k\right)^2=r^2
\left(x-h\right)^2+\left(y-k\right)^2=r^{ }
\left(x+h\right)^2+\left(y+k\right)^2=r^2
3
30-60-90 Triangle Pattern
x-2x-x\sqrt{3}
x-x-x\sqrt{2}
x-x\sqrt{3}-2x
4
Slope-Intercept Form
y=mx+b
y-y_{_1}=m\left(x-x_1\right)
Ax+By+C=0
5
Pythagorean Theorem
a^2+b^2=c^2
\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}
\frac{1}{2}b\cdot h
\sqrt{x^2+y^2+z^2}
6
Hypotenuse of a 45-45-90 Triangle
x\sqrt{3}
x
2x
x\sqrt{2}
7
Surface Area of a Cone
\pi r^2h
\pi r^2+\pi rl
2\pi r^2+2\pi rl
\pi r^2+\pi rh
8
Area of a Triangle
bh
\frac{bh}{2}
2bh
\frac{bh}{3}
9
Num. of Diagonals in a Polygon
\frac{n\left(n-2\right)}{3}
\frac{n\left(n-3\right)}{2}
\frac{n\left(n+3\right)}{2}
\frac{n\left(n-3\right)}{3}
10
Volume of a Cylinder
\pi r^2l
\pi r^2h
\pi r^3
4\pi r^2
11
Sum of Angles in a Polygon
\frac{n\left(n-3\right)}{2}
180n
180\left(n-2\right)
180\left(n-3\right)
12
Area of a Trapezoid
b\cdot h
\frac{1}{2}b\cdot h
\frac{1}{2}h\cdot\left(b_1+b_2\right)
\frac{1}{2}d_1\cdot d_2
13
Surface Area of a Sphere
\frac{4}{3}\pi r^3
\frac{4}{3}\pi r^2
4\pi r^2
4\pi r^3
14
3D Distance Formula
\sqrt{Δx^2+Δy^2-Δz^2}
\sqrt{Δx^2-Δy^2+Δz^2}
\sqrt{Δx^2+Δy^2+Δz^2}
\sqrt{Δx^2-Δy^2-Δz^2}
15
2D Distance Formula
\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}
\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}
\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}
\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}
16
Measure of an Arc intercepted by a central angle
Same as the Central Angle
Half of the Central Angle
Twice the Central Angle
17
Volume of a Cone
\frac{1}{3}\pi r^2h
\pi r^2
\pi r^2+\pi rl
\frac{1}{2}b\cdot h
18
Volume of a Pyramid
\frac{1}{3}\pi r^2h
\frac{1}{2}b\cdot h
b\cdot h+4\left(\frac{1}{2}b\cdot h\right)
\frac{1}{3}B\cdot h
19
Point Slope Form
\frac{y_2-y_1}{x_2-x_1}
\frac{x_2-x_1}{2},\frac{y_2-y_1}{2}
\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}
y-y_2=m\left(x-x_2\right)
20
Measure of an Arc formed by an Inscribed Angle
Half of the Inscribed Angle
Twice of the Inscribed Angle
Equal to the Inscribed Angle
21
Volume of a Prism
\pi r^2h
\frac{1}{3}\pi r^2h
b\cdot h
B\cdot h
22
Simple Interest
p\cdot r\cdot t
P\left(1+\frac{r}{n}\right)^{nt}
23
Midpoint Formula
\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}
a^2+b^2=c^2
\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}
\frac{y_2-y_1}{x_2-x_1}
24
45-45-90 Triangle Pattern
x-x-x\sqrt{2}
x-2x-x\sqrt{3}
x-x\sqrt{3}-2x
25
Surface Area of a Cylinder
2\pi r^2
2\pi r^2+2\pi rh
\pi r^2h
2\pi r
26
Slope Formula
\frac{y_2-y_1}{x_2-x_1}
\frac{x_2-x_1}{2},\frac{y_2-y_1}{2}
\left(x-a\right)^2+\left(y-b\right)^2=r^2
\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}
27
Compound Interest
p\cdot r\cdot t
P\left(1+\frac{r}{n}\right)^{nt}
28
Area of a Circle
4\pi r^2
\pi r^3
\pi r^2
2\pi r
29
Area of a Rectangle
\frac{1}{2}h\cdot \left(b_1+b_2\right)
\frac{1}{2}b\cdot h
\frac{1}{2}d_1\cdot d_2
b\cdot h
30
Volume of a Sphere
2\pi r
\frac{4}{3}\pi r^3
\pi r^2h
\frac{1}{3}\pi r^2h

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