STAAR
STAAR GEOMETRY
REFERENCE MATERIALS
TM
State of Texas
Assessments of
Academic Readiness
CIRCUMFERENCE
Circle
C = 2π r
or
C = πd
AREA
Triangle
A = 1 bh
2
Rectangle or parallelogram
A = bh
Rhombus
A = 1 d1d2
2
Trapezoid
A = 1 (b1 + b2)h
2
Regular polygon
A =
Circle
A = πr2
1
aP
2
SURFACE AREA
Lateral
Total
Prism
S = Ph
S = Ph + 2B
Pyramid
S = 1 Pl
2
S = 1 Pl + B
2
Cylinder
S = 2π rh
S = 2π rh + 2πr 2
Cone
S = πr l
S = πr l + πr 2
Sphere
S = 4π r 2
VOLUME
Prism or cylinder
V = Bh
Pyramid or cone
V = 1 Bh
3
Sphere
V = 4 πr 3
3
STAAR GEOMETRY
REFERENCE MATERIALS
COORDINATE GEOMETRY
Midpoint
(
Distance formula
d =
Slope of a line
m=
Slope-intercept form of a linear equation
y = mx + b
Point-slope form of a linear equation
y − y1 = m(x − x1)
Standard form of a linear equation
Ax + By =C
x1 + x2 y1 + y2
,
2
2
)
(x2 − x1)2 + (y2 − y1)2
y2 − y1
x2 − x1
RIGHT TRIANGLES
a2 + b2 = c 2
Pythagorean theorem
Trigonometric ratios
B
opposite leg
sin A =
hypotenuse
cos A =
adjacent leg
hypotenuse
tan A =
opposite leg
adjacent leg
A
30° – 60° – 90° triangle
C
45° – 45° – 90° triangle
60°
2x
x
45°
30°
x 3
45°
x 2
x
x