2D Geometry Questions and Answers

Identify the values that make the proportion statement true 225555 22 29 21

ationships ework 2 If a 1479 what is the value of b Show work and name the angle relationship a 4 If COB measures 104 determine the value of BOD DOA and COA

Angle 1 Ifa 38 what is the value of b Show work and name the angle relations I Complementary Angle 3 a 380 3 If AED mea measure of relationsh

Which polygon is a concave octagon

2 Evaluate sin 240

Consider ADEF in the figure below The perpendicular bisectors of its sides are XW YW and ZW They meet at a single point W In other words W is the circumcenter of ADEF Suppose YW 42 DZ 62 and FW 70 Find EY DW and DE Note that the figure is not drawn to scale Y W Z X E D F EY DW DE 0 X

In the regular nonagon shown what is the measure of angle x O 36 O 40 O 45 60

The area of the regular pentagon is 6 9 cm 1 38 cm What is the perimeter O2 cm 5 cm 10 cm 20 cm

T A 70 O 100 C B The image shows a quadrilateral inscribed in a circle Select all true statements Select all that apply The arc from Bto D passing through Cmeasures 70 degrees The arc from A to Cpassing through I measures 200 degrees Angle BCD measures 140 degrees The sum of the measures of the arcs from Ato C one passing through B and the other passing through D is 350 degrees Angle CDA measures 80 degrees Angle CDA measures 100 degrees

An equilateral triangle has an apothem measuring 2 16 cm and a perimeter of 22 45 cm 2 16 cm What is the area of the equilateral triangle rounded to the nearest tenth O2 7 cm O 4 1 cm O 16 2 cm O24 2 cm

133 D 102 170 117 F E What is the measure of ZB2 O 98 O 108 O 118 O 128

A regular pentagon is shown 10 cm What is the measure of the radius c rounded to the nearest hundredth Use an appropriate trigonometric ratio to solve O 5 88 cm 08 09 cm O 12 36 cm O 17 01 cm

B Figure ABCD is a parallelogram Two trapezoids are created using line segment XY such that AX CY What is true about the areas of the trapezoids O Each area is equal to half of the area of ABCD The area of AXYD is less than the area of BXYC O O The area of AXYD is greater than the area of BXYC Each area is equal to the area of ABCD

3 QUESTIONS ON THIS SLIDE Several different cheeses are for sale The cheese comes in wedges shaped like sectors of a circle All of the wedges are the same height 1 Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters What is the area of the top surface of this wedge

R 12 L 81 age shows 2 circles The circle with center B is a dilation of the circle with center Ausing scale factor 2 Select all true statements Select all that apply The circumference of the circle centered at Bis greater than the circumference of the circle centered at Aby a factor of 2 The ratio is greater than the ratio by a factor of 2 The value of Bis greater than the value of a by a factor of 2 The angle marked a measures radians The angle marked B measures In 811 radians

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

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

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

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

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

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

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

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

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

1 point Which of the following is NOT a property of all rectangles diagonals bisect the angles diagonals bisect each other diagonals are congruent all angles are right angles

Which of these is NOT a method for proving that a quadrilateral is a parallelogram show one pair of opposite sides are parallel AND congruent show both pairs of opposite sides are congruent show that one pair of opposite sides is parallel and the other is not parallel show both pairs of opposite sides are parallel

1 point What is the slope of a line parallel to 3x y 7 3 3 1 3 1 3

1 point A circle has a diameter of 10 centimeters If a sector with a central angle of 50 degrees is cut out what is the area of this sector 5 46 square centimeters 10 91 square centimeters 3 14 square centimeters 43 63 square centimeters

What shape is formed when a plane slices through a sphere at any angle triangle circle rectangle oval

1 point Arc length is a fraction of a circle s Odiameter area circumference Oaxis

1 point You are pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches If you want to fill it exactly half full how many cubic inches of juice should you pour in 100 6 cubic inches 25 13 cubic inches 50 3 cubic inches 16 cubic inches J

A plane slices through a rectangular pyramid parallel to the base What is the shape of the cross section circle rectangle 00 square triangle

A circle has a diameter of 10 centimeters If a sector with a central angle of 50 degrees is cut out what is the area of this sector 5 46 square centimeters 10 91 square centimeters 43 63 square centimeters 3 14 square centimeters

A hula hoop has a radius of 19 inches What is the length of the arc subtending 1 4 of the hoop 14 9 inches 43 8 inches 29 8 inches 59 7 inches

Which of the following vectors are normal to the surface z 2 2x y at the point 1 1 1 Select one or mo O 4i2j3k O 4i 2j 3k O4i 2j 3k O 4i 2j 3k

10 10 0 10 20 In the hyperbola above the center is 10 The slope of the Asympototes is 4 20