Math Semester 2 Final

Question 1

Standard Equation of a Circle

Answer 1

(x - h)² + (y - k)² = r²

Question 1

Density

Answer 1

D = mass/volume

Question 2

Arc Area

Answer 2

(Area of sector / πr²) = (measure of arc / 360)

Question 3

Arc Length

Answer 3

(Arc length / 2πr) = (measure of arc / 360)

Question 4

Circumference

Answer 4

C = 2πr

Question 5

Area of a Circle

Answer 5

A = πr²

Question 6

Prism Volume

Answer 6

V = Bh
(B = area of base)

Question 7

Cylinder Volume

Answer 7

V= πr²h

Question 8

Cone Volume

Answer 8

V =1/3 x πr²h

Question 9

Pyramid Volume

Answer 9

V = 1/3 x Bh

Question 10

Sphere

Answer 10

V = 4/3 x πr³

Question 11

Special Right Triangles

Answer 11

45-45-90: legs = x. hypotenuse = x√2

30-60-90:
Leg next to 60 = x
Leg next to 30 = x√3
Hypotenuse = 2x

Question 12

Geometric Mean: Altitude

Answer 12

CD² = AD x BD
Altitude = part x part of hypotenuse

Question 13

Geometric Mean: Leg

Answer 13

CB² = DB x AB
Leg = corresponding part x whole

Question 14

Sine

Answer 14

Sin = opposite/hypotenuse

Question 15

Cosine

Answer 15

Cos = adjacent/hypotenuse

Question 16

Tangent

Answer 16

Tan = opposite/adjacent

Question 17

Two Secants Outside a Circle

Answer 17

m∠1 = 1/2 (mBD - mAC)
EA x EB = EC x ED

Question 18

Secant and Tangent Outside

Answer 18

mm∠1 = 1/2 (mAD - mAC)
EA² = EC x ED

Question 19

Intersecting Chords Inside

Answer 19

m∠1 = 1/2 (mAC + mDB)
EA x EB = EC x ED

Question 20

Volume of a Regular Polygon

Answer 20

V = 1/2a x (n x s)

Question 21

Trapezoid Area

Answer 21

A = 1/2 (b1 + b2) x h

Question 22

Sine and cosine add up to _____ degrees.

Answer 22

90

Question 23

What are the similarity theorems?

Answer 23

SSS and AA

Question 24

In a quadrilateral inscribed in a circle, opposite angles are...

Answer 24

Supplementary

Question 25

Measure of an Inscribed Angle Theorem

Answer 25

The measure of an inscribed angle is half the measure of its intercepted arc. Intercepted arc = central angle.

Question 26

Convert degrees to radians

Answer 26

degree/180 x π = rad

Question 27

Convert radians to degrees

Answer 27

rad x 180 = degree

Question 28

To complete the square you add _____ to both sides.

Answer 28

c = (b/2)²

Question 29

Tangent and Intersected Chord Theorem

Answer 29

If a tangent intersects a circle, the measure of each angle formed is half that of the intercepted arc.

Question 30

Tangents are perpendicular to the ______ of a circle

Answer 30

Radius/Diameter

Question 31

Circumscribed Angle Theorem

Answer 31

The measure of a circumscribed angle is equal to 180 minus the central angle.

Question 32

External Tangent Congruence Theorem

Answer 32

Tangent segments from a common external point are congruent.