AcGeo Sem 2

Properties of Circles

100

What Property of a Circle can help you find BA?

A). When a chord and radius meet, the radius bisects the chord.

B). When a tangent meets the radius, a 90-degree angle is formed.

What is B). When a tangent meets the radius, a 90-degree angle is formed.

200

What is the length of BA?

A). 11

B). 12

C). 9

D). 10

What is B). 12 

300

Which of the following is a chord to circle A?

A). AB                 B). EF

C). BC                 D). AC

What is C). BC

400

By definition, what would you call a line that touches a circle at two points?

A). Tangent            B). Chord

C). Diameter          D). Secant

What is D). Secant

500

What is the value of x?

A). 42°                            B). 68° 

C). 180°                           D). 152° 

What is D). 152° 

Properties of Circles Cont'd

100

Find the missing measurement. 

A). 43°

                                             B). 34°

                                             C). 54°

                                             D). 86°

What is A). 43°

200

Find the missing measurement.

A). 15

                                          B). 1.5

                                          C). 54

                                          D). 6

What is  B). 1.5

300

Solve for x.

A). x= 9

B). x=6

C). x=2

D). x=3

What is D). x=3

400

What is the measurement of arc DB?

A). 40 degrees                          B). 150 degrees

C). 340 degrees                        D). 140 degrees

What is D). 140 degrees

500

What is the measurement of ∠OBC?

A). 15°                             B). 90°

C). 25°                             D). 95°

What is A). 15°    

Inscribed, Circumscribed & Central

100

Central Angles are the __________ measurement as the arc it cuts off.

A). opposite

B). same

C). inverse

D). half

What is B). same

200

What is an inscribed angle?

A). An angle whose vertex is in the center of the circle

B). An angle whose vertex is outside of the circle

C). An angle whose vertex is on the circle

D). An angle whose vertex is invisible. 

What is C). An angle whose vertex is on the circle 

300

What is the measurement of Arc CB?

A). 60°                      B). 90° 

C). 120°                    D). 30° 

What is A). 60°   

**Remember central angles and their arcs are the same measurement**

400

What is the measurement of ∠BDC?

A). 60°                      B). 90° 

C). 120°                    D). 30°

What is C). 120° 

500

An inscribed angle is ___________ its arc?

A). 2x's

B). 1/2

C). same as

D). inverse

What is B). 1/2

Polygons

100

How do you find the area of a regular polygon?

A). A=(1/2)aP, where a=apple and P=Pumpkin

B).  A=(1/2)aP,  where a=area of shaded region and P=Perimeter

C). A=(1/2)aP, where a=apothem and P=Pythagorean theorem

D).  A=(1/2)aP, 2where a= apothem and P= Perimeter

What is D).  A=(1/2)aP, 2where a= apothem and P= Perimeter

200

What geometry rule could help you find the area of a regular polygon if not all information needed is provided? (i.e.: Only the radius of the polygon is known)

A). SOHCAHTOA

B). Pythagorean  Theorem

C). SSS

D). AC*BC=DC²

What is A). SOHCAHTOA

300

What is the area of a regular polygon heptagon with side lengths of 3 inches, and an apothem of 8 inches?

A). 12 in²

B). 24 in²

C). 84 in²

D). 168 in²

What is C). 84 in²

400

What is the area of a regular hexagon with an apothem of 5 ft? (round to the nearest tenths)

A). 5.8 ft²

B). 2.9 ft²

C). 174 ft²

D). 87 ft²

What is D). 87 ft²

500

What is the area of the regular polygon below? (Round to the nearest tenths)

A). 115.7 cm²

B). 120.9cm²

C). 261 cm²

D). 95.1 cm²

What is C). 261 cm²

Probability

100

Which would you use if order did not matter?

A). neither permutation or combination

B). permutation

C). either permutation or combination

D). combination

What is D). Combination

200

A student had five points, A, B, C, D, and E, to place on the same line. How many different ways can she place three points on a the same line?

A). 50

B). 10

C). 40

D). 5

What is B). 10

300

50 people are registered for this years 9K marathon. The first 20 people willl be given the same completion award. How many different ways can this award be given?

A). 18093703098564535

B). 839049840980

C). 48308209905554678

D). 47129212243960

What is D). 47129212243960

400

There are a total of 15 students on the student council. How many possible ways can the students hold rank of President, Vice President, and Secretary?

A). 2730

B). 455

C). 1903

D). 3301

What is A). 2730

500

Jacob had a deck of cards. In this deck, the spades and clubs are black, while the hearts and diamonds are red. If Jacob chooses 4 cards at a time, what is the probability of Jacob choosing 4 red cards? 

A). 12/907

B). 52/183

C). 46/833

D). 21/567

What is C). 46/833