Geometry - Texas Education Agency

[Pages:10]Geometry

Administered May 2013

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STAAR GEOMETRY REFERENCE MATERIALS

CIRCUMFERENCE Circle AREA Triangle Rectangle or parallelogram Rhombus Trapezoid Regular polygon Circle SURFACE AREA

Prism Pyramid Cylinder Cone Sphere VOLUME Prism or cylinder Pyramid or cone Sphere

C = 2r

or

Lateral

S = Ph

S

=

1 Pl 2

S = 2rh

S = rl

STAARTM

State of Texas Assessments of Academic Readiness

C = d

A = 1 bh 2

A = bh

A=

1dd 2 12

A

=

1 2

(b

1

+

b )h

2

A

=

1 aP 2

A = r2

Total

S = Ph + 2B

S

=

1 Pl 2

+

B

S = 2rh + 2r 2

S = rl + r 2

S = 4r2

V = Bh

V

=

1 Bh 3

V

=

4 r3 3

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STAAR GEOMETRY REFERENCE MATERIALS

COORDINATE GEOMETRY Midpoint

Distance formula Slope of a line

Slope-intercept form of a linear equation

Point-slope form of a linear equation

Standard form of a linear equation

RIGHT TRIANGLES Pythagorean theorem

Trigonometric ratios

sin

A

=

opposite leg hypotenuse

cos A

=

adjacent leg hypotenuse

tan A

=

opposite leg adjacent leg

30? ? 60? ? 90? triangle

60? 2x

x

30? x3

( ) x 1

+

x 2,

y

1

+

y

2

2

2

d=

(x

2

-

x )2

1

+

(y

2

-

y )2

1

m=

y

2

-

y

1

x

2

-

x

1

y = mx + b

y

-

y

1

=

m(x

-

x)

1

Ax + By =C

a2 + b2 = c2 B

A

C

45? ? 45? ? 90? triangle

45? x2

x

45? x

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Geometry

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