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Support NowThe key to mastering geometry for the TASC Test is being able to picture in your head how the shape in the problem looks. That’s easier said than done, and the best way to hone your skill is by solving actual problems. Once you have a clear idea of the problem, solving it is actually pretty easy—you just need to apply the proper equation.
We want to help you train both of these skills, so go ahead and solve the sample geometry problems we have for you using the following formula sheet! On a positive side note, most of these equations will be also available to you during the test—how cool is that?
Also, look for our other formula charts for the TASC Math Test here:
Formulas for Math on the TASC Test–Algebra
Formulas for Math on the TASC Test–Statistics and Probability
Category  Formula  Symbols  Comment 

Coordinate Geometry 
\((x_m, y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)  \(x_m= x\) value at midpoint \(y_m= y\) value at midpoint \(x_n = x\) value at point \(n\) \(y_n= y\) value at point \(n\) 
Found in the formula sheet on the test. 
Coordinate Geometry 
\(d=\sqrt{(y_2y_1)^2 + (x_2x_1)^2}\)  \(d\) = distance between two points \(y_n =y\) value at point \(n\) \(x_n =x\) value at point \(n\) 
Found in the formula sheet on the test 
Coordinate Geometry 
\(m=\frac{(y_2y_1)}{(x_2x_1)}\)  \(m\) = slope \(y_n\) = dependent variable at point \(n\) \(x_n\) = independent variable at point \(n\) 
This is a rearranged version of the point slope form. Found on the formula sheet on the test. 
Geometry  \(C=2\pi r = \pi d\)  \(C\) = circumference of a circle. \(r\) = radius \(d\) = diameter \(\pi = 3.14\) 

Geometry  \(s=r\theta\)  \(s\) = arc length \(r\) = radius \(\theta\) = central angle, in radians 

Geometry  \(A=\pi \cdot r^2\)  \(A\) = area of a circle \(r\) = radius 

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

Geometry  \(A=s^2\)  \(A\) = area of a square \(s\) = side length 

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

Geometry  \(A= h \cdot \frac{(b_1+b_2)}{2}\)  \(A\) = area of a trapezoid \(b_n\) = base \(n\) \(h\) = height 

Geometry  \(V=l \cdot w \cdot h\)  \(V\) = volume of rectangular prism \(l\) = length \(w\) = width \(h\) = height 

Geometry  \(V = \frac{1}{3}(l \cdot w \cdot h)\)  \(V\) = volume of a pyramid \(l\) = length \(w\) = width \(h\) = height 
Found in the formula sheet on the test. 
Geometry  \(V=\pi \cdot r^2 \cdot h\)  \(V\) = volume of a cylinder \(r\) = radius \(h\) = height 
Found in the formula sheet on the test. 
Geometry  \(V=\frac{4}{3} \cdot \pi \cdot r^3\)  \(V\) = volume of a sphere \(r\) = radius 
Found in the formula sheet on the test. 
Geometry  \(V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h\)  \(V\) = volume of a cone \(r\) = radius \(h\) = height 
Found in the formula sheet on the test. 
These are all on the formula sheet you will be given during the test.
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