# Geometry Formulas You Need to Know for the HiSET® Math Test

The HiSET® test is so straightforward that it gives you a formula chart to use during the test Here at Union Test Prep, we have a sneak peek of what you’ll see on that formula chart, but you’ll probably need a little extra assistance, as well. There are more equations applicable in this test than the ones on the “official” formula chart you’ll be given during the test. So, in the following chart, you’ll find the Geometry formulas that won’t be given to you but that you need to know for the HiSET® Math Test.

We also have two other charts of formulas that are not given to you during the test and a preview of the chart of formulas you will be given during the HiSET Math Test session.

Algebra Formulas You Need to Know for the HiSET® Math Test

Statistics and Probability Formulas You Need to Know for the HiSET® Math Test

Formulas You Will Be Given for the HiSET® Math Test

## Geometry Formulas for the HiSET® Math Test

Category Formula Symbols Comment
Triangles $$P=s_1+s_2+s_3$$ $$P$$ = Perimeter of a triangle
$$s_n$$ = side length

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

Triangles $$\Sigma \theta = 180^\circ$$ $$\Sigma \theta$$ = Sum of the interior angles
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
$$s$$ = Side length

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
$$s$$ = Side length

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
$$h$$ = Height
$$b_n$$ = Base $$n$$

Quadrilaterals $$\Sigma \theta = 360^\circ$$ $$\Sigma \theta$$ = Sum of the interior angles
Regular Polygons $$\Sigma \theta = 180^\circ \cdot (n-2)$$ $$\Sigma \theta$$ = Sum of the interior angles
$$n$$ = Number of sides

Regular Polygons $$\theta = \dfrac{180 \cdot (n-2)}{n}$$ $$\theta$$ = Interior angle measure
$$n$$ = Number of sides

Circles $$(x-h)^2 + (y-k)^2 = r^2$$ $$(h,k)$$ = Center of a circle
$$r$$ = Radius
Standard form of a circle
Circles $$C=2 \cdot \pi \cdot r = \pi \cdot d$$ $$C$$ = Circumference (perimeter) of a circle
$$r$$ = radius
$$d$$ = diameter
$$\pi$$ = 3.14

Circles $$S = r \cdot \theta$$ $$S$$ = Arc length
$$r$$ = Radius
$$\theta$$ = Central angle (in radians)

Circles $$A= \pi \cdot r^2$$ $$A$$ = Area of a circle
$$\pi$$ = 3.14
$$r$$ = Radius

Transformations $$(x, y) \rightarrow (x, -y)$$ Reflection x-axis
Transformations $$(x, y) \rightarrow (-x, y)$$ Reflection y-axis
Transformations $$(x, y) \rightarrow (-x, -y)$$ Reflection origin
Transformations $$(x, y) \rightarrow (y, x)$$ Reflection Line $$y=x$$
Transformations $$(x, y) \rightarrow (-y, -x)$$ Reflection Line $$y=-x$$
Transformations $$(x, y) \rightarrow (y, -x)$$ Rotation $$90^\circ$$ Counterclockwise Rotation around the origin
Transformations $$(x, y) \rightarrow (-x, -y)$$ Rotation $$180^\circ$$ Counterclockwise Rotation around the origin
Transformations $$(x, y) \rightarrow (x+a, y+b)$$ Translation
Transformations $$(x, y) \rightarrow (rx, ry)$$ Dilation $$r$$ = Scale factor
3-Dimensional Objects $$V= l \cdot w \cdot h$$ $$V$$ = Volume of a rectangular prism
$$l$$ = Length
$$w$$ = Width
$$h$$ = Height

3-Dimensional Objects $$SA = \Sigma A_{fi}$$ $$SA$$ = Surface area of a prism
$$A_{fi}$$ = Area of face $$i$$

3-Dimensional Objects $$V=\frac{1}{3} \cdot (l \cdot w \cdot h)$$ $$V$$ = Volume of a pyramid
$$l$$ = Length
$$w$$ = Width
$$h$$ = height

3-Dimensional Objects $$SA = \Sigma A_{fi}$$ $$SA$$ = Surface area of a pyramid
$$A_{fi}$$ = Area of face $$i$$

3-Dimensional Objects $$V= \pi \cdot r^2 \cdot h$$ $$V$$ = Volume of a cylinder
$$r$$ = Radius
$$h$$ = Height

3-Dimensional Objects $$SA = 2B +(C \cdot h)$$ $$SA$$ = Surface area of a cylinder
$$B$$ = Area of base
$$C$$ = Circumference of base
$$h$$ = Height

3-Dimensional Objects $$V = \frac{4}{3} \cdot \pi \cdot r^3$$ $$V$$ = Volume of a sphere
$$r$$ = Radius

3-Dimensional Objects $$SA = 4 \cdot \pi \cdot r^2$$ $$SA$$ = Surface area of a sphere
$$r$$ = Radius

Density $$\rho = \dfrac{m}{v}$$ $$\rho$$ = Density
$$m$$ = Mass
$$v$$ = Volume

![Hiset Geometry Formulas](