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Support NowIf you want to have the skills needed to succeed in Math, it’s very important that you remember the specific formulas needed to solve each problem. That becomes particularly important when solving the Geometry and Measurement problems in the TSIA2. Here at Union Test Prep, we have what you need. In the following chart you’ll find the Geometry and Measurement Formulas you’ll need for the TSIA2.
You’ll also want to check out our other two math formula charts for this test:
Formulas for Algebra and Functions
Formulas for Data Analysis, Statistics, and Probability
You can practice using these formulas by accessing the math sections of our free TSIA2 prep materials.
Category  Formula  Symbols  Comment 

The XY Plane  \(Ax+By=C\)`  A, B, C = any real number y = dependent variable x = independent variable 
Standard Form 
The XY Plane  \(y=m \cdot x + b\)  y = dependent variable m = slope x = independent variable b = yaxis intercept 
SlopeIntercept Form: Try to convert any given linear equation to this form. 
The XY Plane  \(m=\dfrac{(y_2y_1)}{(x_2x_1)}\)  m = slope \(y_n\) = dependent variable (at point n) \(x_n\) = independent variable (at point n) 
This is a rearrangement of the pointslope form. 
The XY Plane  \(yy_1=m(xx_1)\)  \((x_1, y_1)\) = point on the line y = dependent variable x = independent variable m = slope 
PoitSlope Form 
The XY Plane  \(d = \sqrt{(y_2y_1)^2 + (x_2x_1)^2}\)  d = distance between two points \(y_n\) = y value at point n \(x_n\) = x value at point n 

Circles  \((xh)^2 + (yk)^2 = r^2\)  (h, k) = center of a circle r = radius 
Standard Form of a circle 
Circles  \(x^2+y^2+Ax+By+C=0\)  x, y = variables A, B, C = constants 
General Form of a circle 
Circles  \(C=2 \cdot \pi \cdot r\) \(C=\pi \cdot d\) 
C = Circumference (perimeter) of a circle r = radius d = diameter 

Circles  \(s=r \cdot \theta\)  s = arc length r = radius \(\theta\) = central angle (radians) 

Circles  \(A=\pi \cdot r^2\)  A = Area of a circle r = radius 

Triangles  \(P=s_1+s_2+s_3\)  P = Perimeter of a triangle \(s_n\) = side length 

Triangles  \(A=\frac{1}{2}b \cdot h\)  A = Area of a triangle b = base h = height 

Triangles  \(a^2+b^2=c^2\)  a, b = legs of a right triangle c = hypotenuse of a right triangle 
Pythagorean Theorem 
Quadrilaterals  \(P=4 \cdot s\)  P = Perimeter of a square s = length of a side 

Quadrilaterals  \(P= (2 \cdot l)+(2 \cdot w)\)  P Perimeter of a rectangle l = length w = width 

Quadrilaterals  \(A=s^2\)  A = Area of a square s = length of a side 

Quadrilaterals  \(A = l \cdot w\)  A = area of a rectangle l = length w = width 

Quadrilaterals  \(A = h \cdot \dfrac{(b_1+b_2)}{2}\)  A = Area of a trapezoid \(b_b\) = base n h = height 

3Dimensional Objects 
\(V = l \cdot w \cdot h\)  V = Volume of a rectangular prism l = length w = width h = height 

3Dimensional Objects 
\(SA = \Sigma A_{fi}\)  SA = Surface Area of a prism \(A_{fi}\) = Area of face i 

3Dimensional Objects 
\(V= \frac{1}{3} (l \cdot w \cdot h)\)  V = Volume of a pyramid l = length w = width h = height 

3Dimensional Objects 
\(V= \pi \cdot r^2 \cdot h\)  V = Volume of a cylinder r = radius h = height 

3Dimensional Objects 
\(SA=2B + (C \cdot h)\)  SA = Surface Area of a cylinder B = Area of the Base C = Circumference of the Base h = height 

3Dimensional Objects 
\(V= \frac{4}{3} \cdot \pi \cdot r^3\)  V = Volume of a sphere r = radius 

3Dimensional Objects 
\(SA=4 \cdot \pi \cdot r^2\)  SA = Surface Area of a sphere r = radius of the sphere 
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