Geometry Questions

2 Kiran bought a wedge with a central angle radians and radius 3 inches What is the area top surface of this wedge

HO A circle has a radius of 20 ce angle that measures 216 dec the arc defined by this centra Write your final answer in tem Keep n as a symbol in the a

Construct the circumscribed circle for triangle ABC Show explain your reasoning A

B 57 A C BL is tangent to the circle centered at A Find the measure of angle BCA Explain or show your reasoning

O B 50 A a circle centered at point O Angle AOBmeasures 50 degrees What is the measure of angle ACB 25 degrees 40 degrees 50 degrees 100 degrees

In the rectangle below AE 2x 1 BD 3x 7 and mZEBC 27 Find CE and m ZAED A D B C CE m AED

15 The graph shows a transformation of the function f x sin x 30 35 20 5 0 5 B y 25 sin y 50 sin 15 10 If g x represents the transformed function what is the correct equation for g x A y 25 sin 2 10 7 5 y 50 sin 5 10 15 30 10

te the density of a 3D figure any final answer ALL WORK must be shown in order to receive full credit Directions Complete the following questions by showing all work and annotations Keep work residents and the shaded region represents the surrounding water what is the population density of the village 1 The below shape represents a rectangular town with a width b of 6 miles If the circular village has 1 275 in person per square mile a 45 1 b 0 02 C 11 3 d 67 6 b a

2 The town Roundaway NJ can be modeled with a circle with a diameter of 50 miles has a popul 25 504 Blockhead NJ can be modeled with a square with a length of 40 miles has a population of 22 340 Determine which of the two towns has a greater population density

What is the equation of the parabola shown with its focus on this graph O 6 A 4 2 y 6 4 2 2 4 6 0 1 B Y x 1 C y x 1 D y 1 N 2 4 6

1 A company manufactures cylindrical containers that each have a volume of 6 cubic feet For a new container design the company plans to keep the same height for the container and double the radius V 6 ft

The medians of APQR are PT QU and RS They meet at a single point V In other words V is the centroid of APQR Suppose QV 10 RS 39 and VT 10 Find the following lengths Note that the figure is not drawn to scale A P S U Q T R PV 0 QU VS

The medians of AJKL are JN KP and LM They meet at a single point Q In other words Q is the centroid of AJKL Suppose KP 36 JQ 22 and LQ 16 Find the following lengths Note that the figure is not drawn to scale M P K 10 N JN QM QP 8 08 X

Which of the following sets of angles are not congruent Linear Pair Alternate Exterior Vertical Alternate Interior

10 1 point 2nd base Pacher s mound 90 2 feet 90 3 feet 180 feet 1ot base Foul Bre X Home plato A baseball diamond is actually a square with side lengths of 90 feet In a game a runner tries to steal second base How far must the catcher throw from home plate to secon base in order to get the runner out 90 feet

Fill in the blank 7 95 107 106

Which of the following constructions must you know how to do in order to construct a circumscribed circle for a given triangle duplicating a line segment inscribed quadrilateral perpendicular bisector angle bisector

P B 2 3 P ANB 1 6 What will P A have to be for A and B to be independent GORY 5 6 1 2 1 4 11 12

Match the radian measure with the degree measure 30 degrees 60 degrees 90 degrees 135 degrees 270 degrees 360 degrees 15 degrees 12 degrees radians 45 radians 360 radians radians degrees radians radians 4 degrees radians 3 radians radians radians 120 135 T IT 180 2 200 3T 220 3T 2 240 2 300

Arc length is a fraction of a circle s axis O circumference diameter area

34 1 point A student wants to write an expression for all of the elements which are in set A AND all of the elements in set B Which expression below matches the statement AUB ANB P ANB AUB

A triangular pyramid is sliced by a plane parallel to the base What is the shape of the cross section square star rectangle triangle

Which of the following require that you have parallel sides Substitution O O Vertical Angles Alternate Interior Angles Reflexive

30 Solve for x 3 000 1 6 3 3 60

POSSIBLE POINTS 2 A circle has radius 3 centimeters Suppose an arc on the circle has length 4 centimeters What is the measure of the central angle whose radii define the arc degrees LU E E

19 1 point 100 LAND 300 270 10 kr X r r RIVER Find the distance x across the river 30 270 300 27 r

20 1 point O Z 20 Find the value of z 80 3 15 50 3 24 16 10 18 16

1 point What type of quadrilateral has one pair of opposite sides that are parallel and one pair of opposite sides that are not parallel square rhombus rectangle trapezoid O

What formula must be used to find the perimeter of a polygon in the coordinate plane slope formula distance formula area formula midpoint formula

Circle B is a dilation of circle A circle A 1 What is the scale factor of dilation 3 2 What is the length of the highlighted arc in circle A 2 3 What is the length of the highlighted arc in circle B 3 T 1 5T circle B 2 67 3 3 5T 4T 9 units units 4 5T

Which of the following is NOT an appropriate name for the angle pictured below O LADF ZDAF ZD LED A

Which of the following ratios is equivalent to 1 3 1 3 2 3 1 2

1 point Which expression represents the probability of choosing an item from the intersection of A and B P A U B P ANB An B

Which expression represents the probability of the union of not A and not B A n B P A U B AUB P A B

A student wants to write an expression for all of the elements which are in set A AND all of the elements in set B Which expression below matches the statement P ANB A U B An B AUB

Male Have Read 19 Have Not Read 57 Total 76 Reading Harry Potter and gender are independent True False Female 24 84 108 Total 43 141 184

3 1 point WJC JFK WHT HH BHO RMN DDE WGH C HCH GWB JEC LBJ FDR RWR GHB GRF HST If a student represented by initials was chosen at random find P HHIC P HH C 1 2 P HHIC 2 5 P HHIC 3 5 P HHIC 9 16

Under 30 Over 30 Yes A C D According to the table type your answer XT No 5 B 25 Total 60 40 100 should be the value of D

1 point A student wants to write an expression for all of the elements which are in sets A and B not just A or just B Which expression below matches the statement AUB A U B 0000 P ANB An B

1 point points A 3 4 and B 5 0 form a line segment Find the coordinates of the point P that partitions segment AB in a 2 3 ratio 0 2 2 4 The 7 2 10 4 0 2 10 4 7 2 2 4

What does the rational form of the ratio a b look like a a b 01 0 a b b a b

1 point Paige knows that a certain shape is a rectangle She has found the slope of one side to be 2 3 What is the slope of the opposite side What are the slopes of the other two sides opposite side 2 3 other sides 3 2 opposite side 2 3 other sides 3 opposite side 2 3 other sides 2 3 opposite side 3 2 other sides 2 3

When partitioning a line segment what is the rational form of the ratio 2 3 O 02 10 21 06 3 5

Which point lies on the circle centered at the origin with 5 1 2 1 4 2 3 1 6 O

Find the area of quadrilateral ABCD with vertices A 0 4 B 4 1 C 1 3 and D 3 0 20 square units 5 square units 5 5 square units 25 square units

Which of the following ratios is equivalent to 1 3 2 1 1 3 1 2 2 3

The balance on a credit card that charges a 28 5 APR interest rate over a 1 month period is given in the following table Days 1 3 150 initial balance Days 4 20 200 50 purchase Days 21 30 50 150 payment What is the finance charge on the average daily balance for this card over this 1 month period Hint First calculate the balance for the 30 days To do this take the number of days and multiply it by the balance What was the balance for the first 3 days

Give the equation of the line parallel to a line through 3 4 and 5 6 that passes through the origin y 1 5x y 5x 1 y 5x y 1 5x 1

An equilateral triangle is rotated around an axis bisecting the triangle What shape is formed triangular prism cone diamond triangular muramid

1 point Find the point P that is 2 5 of the way from A to B on the directed line segment AB if A 8 2 and B 6 19 7 2 8 8 2 4 6 4 7 2 8 8 2 4 6 4