Cheat Sheet For Geometry Page 3
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1
2
3perpendicular bisectors, angle bisectors, equidistant,
median of a triangle, altitude of a triangle, midsegment
•
If a point is on the perpendicular bisector of a segment, then it is equidistant from the
endpoints of the segment.
•
If a point is equidistant from the endpoints of a segment, then it is on the perpendicular
bisector of the segment.
•
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
•
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the
bisector of the angle.
•
The circumcenter of a triangle is equidistant from the vertices of the triangle.
•
The incenter of a triangle is equidistant from the sides of the triangle.
•
The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of
the opposite side.
•
The midsegment of a triangles is parallel to the third side of the triangle and its length is half
the length of the third side.
Formulas
•
Area of a rectangle = lw or bh
2
•
Area of a square = s
1
•
Area of a triangle =
bh
2
•
Circumference of a circle = dπ or 2πr
2
•
Area of a circle = πr
AB
•
Midpoint Formula: The midpoint M pf
with endpoints A(x
, y
) and B(x
, y
) is:
1
1
2
2
x
x
y
y
(
1
2
1
2
)
M
,
2
2
•
Distance Formula: In a coordinate plane, the distance between two points (x
, y
) and
1
1
x
x
2
y
y
2
(
)
(
)
(x
, y
) is: d =
2
2
2
1
2
1
y
y
2
1
•
Slope Formula: m =
x
x
2
1
•
Slope-intercept form: y = mx + b
y
y
m x
x
(
)
•
Point-slope form:
1
1
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