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GEOMETRY CHEAT SHEET
Pythagorean Theorem
Area of a Circle
𝒂𝟐 + 𝒃𝟐 = 𝒄𝟐
𝑨 = 𝝅𝒓𝟐
Distance Formula
Area of a Parallelogram, Square, Rectangle,
Rhombus
𝒅 = √(𝒙𝟏 − 𝒙𝟐 )𝟐 + (𝒚𝟏 − 𝒚𝟐 )𝟐
𝑨 = 𝒃𝒉
Midpoint Formula
Area of a Triangle
𝒙 𝟏 + 𝒙 𝟐 𝒚𝟏 + 𝒚𝟐
(
,
)
𝟐
𝟐
𝑨=
Volume for prism/cylinder:
Area of the Base • height
𝟏
𝒃𝒉
𝟐
Volume for cone/pyramid:
1/3• area of the base• height
Equation of a circle: (𝒙 − 𝒉)𝟐 + (𝒚 − 𝒌)𝟐 = 𝒓𝟐 where (h, k) is the center of the circle and r is the radius.

If given ordered pairs, DRAW A PICTURE on the graph paper. (Then classify.)

If asked for perimeter, use the distance formula.


If asked for a missing leg of a right triangle, use the Pythagorean Theorem.
If given a volume formula, substitute all given values and solve.
Parallel
bases
Four right angles
Opposite sides
parallel and
congruent
Four
congruent
sides
Opposite sides parallel
and congruent
Four
congruent
sides
Four right
angles
Geometry Practice Problems
1.) A quadrilateral has vertices at ( 3, 5), (4, 5),
(4, 1), and (2, 1). What is the most specific name for the
quadrilateral?
5.) The volume of a cone can be found using the
1
formula A= 3 𝐵ℎ, where 𝐵 is the area of the base of the
cone and ℎ is the height of the cone. If the volume is
262 cubic inches, and the height is 10 inches, what is
the length of the radius of the base?
6.) What is the length of EF?
2.) The longer leg of a right triangle is 1 longer
than the shorter leg. The hypotenuse is two longer than
the short leg. Find the sides.
3.)
4.)
Find the perimeter of a triangle XYZ if the vertices
7.)
are located at X(-3, 7), Y(1, 7), and Z(-2, 4).
Answer Key: 1.) Trapezoid; 2.) (x)2 + (x+1)2 = (x+2)2  x = 3, 4, 5 3.) B 4.) about 11.4 5.) r = 5 6.) 11.4
7.) D