2D Geometry Questions and Answers

Find the area of OO Round your answer to the nearest tenth Answer Check Find the area of AAOB Round your answer to the nearest tenth Answer I Check

36 6 swer Check nd the area of the shaded sector of the circle Round your answer to the nearest tenth 45 3 swer check d the area of the shaded sector of the circle Round your answer to the nearest tenth 5

3 Hands of a clock suggest an angle whose measure is continually changing How many degrees does a minute hand move through during each time interval For a c give the degree measure 10 a 1 min b 5 min c 20 min 12 TT 4 For a c find the degree measure 1 TT a radians 4 T b radians 3 Kimberly Sucato C radians 2

Find the area of sector TOP in O using the information given below r 11 m mTP 117 The area of sector TOP is m Simplify your answer Type an exact answer in terms of

Find the length of the darkened arc Leave your answer in terms of it 18 ft Select one a 7 5 ft b 15 ft c 9n ft d 1 5T ft Check 30 Find the value of the variable F 20a 30 H G 10a 2 2a 4

Find the value of the variable 2a 24 Z

Solve the equation on the interval 0 2x 2 cosx v2 C2 sinh theo X

Find the area of the shaded sector of the circle The area of the shaded sector is m Simplify your answer Type an exact answer in terms of 30 m 160 o U

Given the diameter find the circumference of the circle Leave your answer in terms of T 5 7 cm Select one a 8 55 cm b 11 4 cm c 2 85 cm d 5 7 cm

What are the minor arcs of OO H A 7 JK and LH B HJ and KL Select one A A B B OC C 0 C C K C HJ HK JK JL KL and LH D HJ JK KL and LH

What are the major arcs of O that contain point B A D 0 Select one OA A B BCA CDB DAC and ABD B B C C A B BCA CDB and ABD C AB AC BC BD CD and DA D BCA BCD CDB CDA DAC and ABD C

The pentagons below are similar The area of the smaller pentagon is 30 m What is the area of the larger pentagon in m 4m Answer 10 m The areas of two similar octagons are 112 in and 63 in 2 What is the ratio larger to smaller perimeters Input answer as larger smaller their

A regular hexagon has a perimeter 60 in What is the hexagon s area Select one a 600 3 in b 75 3 in c 150 3 in d 300 3 in The triangles below are similar What is the ratio larger to smaller of the areas 15 ft 9 ft Input answer as larger smaller

hat is the area of the kite below 10 ft ect one a 120 ft b 30 ft c 96 ft d 60 ft hat is the area of the trapezoid below 7 cm 8 cm 4 cm 6 ft ect one a 44 3 cm b 36 3 cm c 88 cm d 65 cm

Find 2 possible values for between 0 0 360 that satisfies 3 tan 0 3 8 O 82 0

sts a family 324 to buy a 10 ft by 12 ft rug At this rate what will it cost them to buy a 15 ft by ct one a 729 D 466 56 c 388 80 d 270 eck ert raises earthworms In a square of compost 4 ft by 4 ft he can have 1000 earthworms How ma worms can he have if his square of compost has a side length that is 8 times longer ct one a 32 000 b 64 000 C 8 000 d 256 000

A 3 ft wide circular track for a camera dolly is set up for a movie scene The two rails of the track form concentric circles The radius of the inner circle is 64 ft How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn The wheel on the outer rail travels feet farther than the wheel on the inner rail of the track in one turn Round to the nearest tenth as needed 64 ft 3 ft

An athletic field is a 54 yd by 108 yd rectangle with a semicircle at each of the short sides A running track 20 yd wide surrounds the field If the track is divided into eight lanes of equal width with lane 1 being the inner most and lane 8 being the outer most lane what is the distance around the track along the inside edge of each lane The length of the track along the inside edge of lane 1 is approximately yd Type an integer or a decimal rounded to two decimal places as needed 20 yd 54 yd 108 yd

Name the minor arcs in Oo Select all the minor arcs by their correct names B CD A DBG H GD N G FCD F 0 0 0 C I 2 BC FD O RG D B XXXX 0 0 0 F C G D BCF J FC P FG 0 0 0 E BD K FOG Q DBF F GOC L BOC R CG

Find the measure of arc TCB in OP mTCB Simplify your answer D Points 0 of 1

Find mZEOF for Oo mZEOF Simplify your answer

The hands of a clock suggest an angle whose measure is continually changing How many degrees does a minute hand move through during a 23 minute time interval In a 23 minute time interval a minute hand moves Simplify your answer degrees C

What is the length of the arc shown in red 7 cm 450 The length of the arc is cm Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

What is the circumference of OP Leave your answer in terms of The circumference is cm Simplify your answer Type an exact answer in terms of t

Find the values of x and y when the smaller triangle has an area of 105 cm The value of x is cm and the value of y is cm Type exact answers using radicals as needed Rationalize all denominators X y 60 cm 70 cm

Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in and 50 in Select one a 3 5 and 9 25 b 9 25 and 9 25 c 9 25 and 3 5 d 3 5 and 3 5

For problems 4 6 use the figure below Answer 3 Find the m 1 Check 2 5

swer 2 2 Check 7 y X nd the area of quadrilateral QRST Os 2 R LO X

Find the area of the regular polygon with the given radius or apothem The area is cm2 Simplify your answer Type an exact answer using radicals as needed Points 0 of 1

27 in The area is in 32 in HW Score O Points Find the area of th

The surface area of a cone is 216 square units The height of the cone is times greater than the radius What is the length of the radius of the cone to the nearest foot The radius is about feet

ind the equation of the exponential function whose graph is shown below 2 24 22 208 20 18 16 14 12 10 8 6 2 Im

The table below summarizes the number of children per household for a sample of 32 families Number of households Number of children per household 9 children 13 10 X 4 What is the mean number of children per household for these families Round your answer to the nearest tenth 3 2 3

Follow the instructions below a Rewrite the decimal in the sentence below as a percentage The value had decreased to 0 067 of the purchase price b Rewrite the percentage in the sentence below as a decimal The photographer filled 30 of her memory card with animal pictures X Percent Decimal 5

The weekly salaries in dollars for 9 employees of a small business are given below Note that these are already ordered from least to greatest 728 731 814 827 831 874 943 955 965 Suppose that the 728 salary changes to 737 Answer the following a What happens to the median b What happens to the mean It decreases by 0 0 O It increases by OIt stays the same It decreases by O It increases by OIt stays the same X 0 0

ons below a Rewrite the decimal in the sentence below as a percentage One energy drink tested had 0 8 of the amount of caffeine contained in a cup of coffee b Rewrite the percentage in the sentence below as a decimal The mayor spent 62 5 of her yearly income on the campaign Percent Decimal

Find x and then any unknown angles in the quadrilateral P X x 26 T 3x 13 Select mZP mZR Select mZT Select mzs Select Select 3x 13 S R

A sample of 27 customers was taken at a computer store Each customer was asked the price of the computer she bought Here is a summary Number of computers Price paid for each in dollars 2300 7 11 1 9 800 2150 Find the mean price for this sample Round your answer to the nearest dollar X 5

Find the length of the median in each trapezoid 12 14 in 13 15 20 mm 2 in 60 mm 10 yd 16 4 0 cm 30 yd Van 9 6 cm 14 17 32 m 64 m 35 ft 18

The table below summarizes the amount of milk consumed by a sample of 33 families last month Number of families Number of gallons per family 2 gallons 15 16 1 X 4 For these families what is the mean number of gallons of milk consumed Round your answer to the nearest 5

1 Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU a b C d Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G H J and STU Translate GHJ by the directed line segment GS Rotate G H J using S as the center by angle H ST Reflect G H J over ST Translate GHJ by the directed line segment GT Rotate G H J using T as the center by angle H TS Reflect G H J over ST Translate GHJ by the directed line segment GS Translate G H J by the directed line segment H T Translato C I bu the directed line coament HT

2 Reflect triangle STU across line ST Which of these is a valid reason why the image of U will coincide with J a S The image of U and J are on the same side of ST and make the same angle with it at T b The image of U and J are the same distance along the same ray from T The image of U and I will not coincide after reflection over ST d Line ST is the perpendicular bisector of the segment connecting U and J because the perpendicular bisector is determined by 2 points that are both equidistant from the endpoints of a segment C T

Given LA LC CF AD Prove AE CE 14 Steps LA LL 2 CF AD LE LE C 0 B E Reasons Given Given Identity CPCTC F

Find the missing angle measures in each isosceles trapezoid 18 O 19 J K 20 W D Z 120 M 85 Z 100 X

3 In quadrilateral EFGH HK KF and LKHE LKFG Show that quadrilateral EFGH is a parallelogram by providing a reason for each step LFKG a LEKH b AEKHAGKF c EH GF d EH GF e EFGH is a parallelogram H E K G F

0 Find the missing angles and sides in parallelogram ABCD 4 A B X 25 5 W 80 D Z C

Given CD is a median AC BC Pwove LACD LB CD 3 4 5 Steps CD is a median AC BC CD CD AACD ABCD AC BC A C Reasons Given SSS D Given Identity CPCTC B

15 X 300 Find value of x in the 30 60 90 triangle Give your answer as a simplified radical

Use the diagrams to find the missing sides of the right triangles Round your results to two decimal places as needed Figure A 5 2 6 5 a

20 60 H Find value of x and y in the 30 60 90 triangle Give your answer as a simplified radica y x