Geometry Questions
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![The following list gives the number of public libraries in each of 9 cities 5 5 8 7 4 5 4 7 4 Find the modes of this data set If there is more than one mode write them separated by commas If there is no mode click on No mode 11 X No mode S](https://media.kunduz.com/media/sug-question-candidate/20220712032803250974-4663124.jpg?w=256)
Geometry
Coordinate systemThe following list gives the number of public libraries in each of 9 cities 5 5 8 7 4 5 4 7 4 Find the modes of this data set If there is more than one mode write them separated by commas If there is no mode click on No mode 11 X No mode S
![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](https://media.kunduz.com/media/sug-question-candidate/20220711141809208034-4661365.jpg?w=256)
Geometry
2D GeometryFind 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
![A heptagon is shown in the figure below xo The two missing angles are equal and labeled with x If the sum of all other interior angles is 675 what is the angle measure of x Round to the nearest hundredth For example if answer is x 49 5643 enter 49 56 Do not include x the degree sign in your answer](https://media.kunduz.com/media/sug-question-candidate/20220712034233035249-4663437.jpg?w=256)
Geometry
AreaA heptagon is shown in the figure below xo The two missing angles are equal and labeled with x If the sum of all other interior angles is 675 what is the angle measure of x Round to the nearest hundredth For example if answer is x 49 5643 enter 49 56 Do not include x the degree sign in your answer
![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](https://media.kunduz.com/media/sug-question-candidate/20220712033823569697-4663124.jpg?w=256)
Geometry
2D GeometryThe 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](https://media.kunduz.com/media/sug-question-candidate/20220711163219612605-4594080.jpg?w=256)
Geometry
2D Geometry1 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
![se the fact that matrices A and B are row equivalent 1 21 0 0 2 5 1 1 0 3 7 2 2 2 8 18 6 2 8 10 30 4 1 0 A B WN 01 00 00 2 0 1 2 000 a Find the rank and nullity of A rank nullity b Find a basis for the nullspace of A c Find a basis for the row space of A](https://media.kunduz.com/media/sug-question-candidate/20220711091524964829-4590723.jpg?w=256)
Geometry
3D Geometryse the fact that matrices A and B are row equivalent 1 21 0 0 2 5 1 1 0 3 7 2 2 2 8 18 6 2 8 10 30 4 1 0 A B WN 01 00 00 2 0 1 2 000 a Find the rank and nullity of A rank nullity b Find a basis for the nullspace of A c Find a basis for the row space of A
![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](https://media.kunduz.com/media/sug-question-candidate/20220711163247973285-4594080.jpg?w=256)
Geometry
2D Geometry2 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](https://media.kunduz.com/media/sug-question-candidate/20220711170138073537-4662052.jpg?w=256)
Geometry
2D GeometryGiven 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](https://media.kunduz.com/media/sug-question-candidate/20220711141833015813-4661365.jpg?w=256)
Geometry
2D GeometryFind the missing angle measures in each isosceles trapezoid 18 O 19 J K 20 W D Z 120 M 85 Z 100 X
![The figure below shows a block of butter Which shape does the intersection of the vertical plane with the block of butter like O Circle O Rectangle O Triangle Square](https://media.kunduz.com/media/sug-question-candidate/20220711212317797732-4629113.jpg?w=256)
Geometry
3D GeometryThe figure below shows a block of butter Which shape does the intersection of the vertical plane with the block of butter like O Circle O Rectangle O Triangle Square
![16 iven BD bisects LABC LA LC Pune AB BL 3 Steps BD bisects LABC LA LC BD BD 4 LABD LCBD AB BC A B D Reasons Given Cel Given Identity C Definition of Bisector AAS](https://media.kunduz.com/media/sug-question-candidate/20220711170044922473-4662052.jpg?w=256)
Geometry
Solution of triangles16 iven BD bisects LABC LA LC Pune AB BL 3 Steps BD bisects LABC LA LC BD BD 4 LABD LCBD AB BC A B D Reasons Given Cel Given Identity C Definition of Bisector AAS
![1 6 iven BD bisects LABC LA FLC Puse AB BL Steps BD bisects LABC LA LC BD BD LABD LCBD AB BC D Reasons Given Given Identity Definition of Bisector AAS](https://media.kunduz.com/media/sug-question-candidate/20220711170021381320-4662052.jpg?w=256)
Geometry
Solution of triangles1 6 iven BD bisects LABC LA FLC Puse AB BL Steps BD bisects LABC LA LC BD BD LABD LCBD AB BC D Reasons Given Given Identity Definition of Bisector AAS
![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](https://media.kunduz.com/media/sug-question-candidate/20220711144248326794-4661365.jpg?w=256)
Geometry
2D Geometry3 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
![15 Determine whether quadrilateral XYZW is a parallelogram Give reasons for your answer W X](https://media.kunduz.com/media/sug-question-candidate/20220711141222449006-4661365.jpg?w=256)
Geometry
Coordinate system15 Determine whether quadrilateral XYZW is a parallelogram Give reasons for your answer W X
![1 Find the exact value of the expression Don t plug this into a calculator use your knowledge of inverse trig functions to find the exact value csc sin 1 185 11](https://media.kunduz.com/media/sug-question-candidate/20220711005907862858-4581414.jpg?w=256)
Geometry
Coordinate system1 Find the exact value of the expression Don t plug this into a calculator use your knowledge of inverse trig functions to find the exact value csc sin 1 185 11
![1 Consider the right triangle ABC given below B C 25 b 25 A Part I Use the 25 angle and the sine ratio to find the length of side b to two dec places 2 points Part II You can find the length of side a using cos 25 tan 25 or the Pythagorea theorem Find the length of side a to two decimal places using one of these methods 2 points](https://media.kunduz.com/media/sug-question-candidate/20220711154719543812-3418606.jpg?w=256)
Geometry
Solution of triangles1 Consider the right triangle ABC given below B C 25 b 25 A Part I Use the 25 angle and the sine ratio to find the length of side b to two dec places 2 points Part II You can find the length of side a using cos 25 tan 25 or the Pythagorea theorem Find the length of side a to two decimal places using one of these methods 2 points
![Given Square ABCD Prove AC BD D A](https://media.kunduz.com/media/sug-question-candidate/20220710234306017299-4662052.jpg?w=256)
![0 Find the missing angles and sides in parallelogram ABCD 4 A B X 25 5 W 80 D Z C](https://media.kunduz.com/media/sug-question-candidate/20220710233844889916-4662052.jpg?w=256)
Geometry
2D Geometry0 Find the missing angles and sides in parallelogram ABCD 4 A B X 25 5 W 80 D Z C
![Use rigid motions to prove that figure ABC is congruent to figure EFG B C F G](https://media.kunduz.com/media/sug-question-candidate/20220711164547630669-4594080.jpg?w=256)
![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](https://media.kunduz.com/media/sug-question-candidate/20220711170115492969-4662052.jpg?w=256)
Geometry
2D GeometryGiven 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](https://media.kunduz.com/media/sug-question-candidate/20220710231244292188-4662052.jpg?w=256)
Geometry
2D Geometry15 X 300 Find value of x in the 30 60 90 triangle Give your answer as a simplified radical
![14d Determine the length of the missing sides for each special right triangle Leave answer in exa reduced radical form a 300 18 C 60](https://media.kunduz.com/media/sug-question-candidate/20220710231216592489-4662052.jpg?w=256)
Geometry
Solution of triangles14d Determine the length of the missing sides for each special right triangle Leave answer in exa reduced radical form a 300 18 C 60
![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](https://media.kunduz.com/media/sug-question-candidate/20220710224353941056-4662052.jpg?w=256)
Geometry
2D GeometryUse 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
![Find the area of the figure Sides meet at right angles 14 cm 7 cm 5 cm 4 cm 5 cm 5 cm 5 cm 7 cm](https://media.kunduz.com/media/sug-question-candidate/20220710125255095124-4663124.jpg?w=256)
Geometry
Coordinate systemFind the area of the figure Sides meet at right angles 14 cm 7 cm 5 cm 4 cm 5 cm 5 cm 5 cm 7 cm
![20 60 H Find value of x and y in the 30 60 90 triangle Give your answer as a simplified radica y x](https://media.kunduz.com/media/sug-question-candidate/20220710231257692264-4662052.jpg?w=256)
Geometry
2D Geometry20 60 H Find value of x and y in the 30 60 90 triangle Give your answer as a simplified radica y x
![In rhombus ABCD find the missing angles A D X B C](https://media.kunduz.com/media/sug-question-candidate/20220710235022358429-4662052.jpg?w=256)
![Find the missing value 6 4 6 X](https://media.kunduz.com/media/sug-question-candidate/20220710221836625693-4662052.jpg?w=256)
![8 8 Q The length of the hypotenuse is](https://media.kunduz.com/media/sug-question-candidate/20220710224436162638-4662052.jpg?w=256)
![Find the value for x C 8 E x 9 G F 3x 3 4 D](https://media.kunduz.com/media/sug-question-candidate/20220710221432303064-4662052.jpg?w=256)
![In rhombus ABCD find the missing angle A D X Z B C](https://media.kunduz.com/media/sug-question-candidate/20220710234626355091-4059626.jpg?w=256)
![Find the value for z 7 E 3z 1 G 2 F 2z 2 Note Solving this will result in two possible answers Always make sure the value of z produces posit lengths](https://media.kunduz.com/media/sug-question-candidate/20220710221503861562-4662052.jpg?w=256)
Geometry
2D GeometryFind the value for z 7 E 3z 1 G 2 F 2z 2 Note Solving this will result in two possible answers Always make sure the value of z produces posit lengths
![A AC Given BC 11 mm AB 30 in in B C](https://media.kunduz.com/media/sug-question-candidate/20220710231229769958-4662052.jpg?w=256)
![Find the lengths of the diagonals of rectangle ABCD D A Xt 10 2x E ly 19 415 C B](https://media.kunduz.com/media/sug-question-candidate/20220710234949918303-4662052.jpg?w=256)
Geometry
Coordinate systemFind the lengths of the diagonals of rectangle ABCD D A Xt 10 2x E ly 19 415 C B
![Find the measures of angles A B C and D in the isosceles trapezoidl A B 2x 3y 5x 5 94](https://media.kunduz.com/media/sug-question-candidate/20220710235049158725-4662052.jpg?w=256)
Geometry
2D GeometryFind the measures of angles A B C and D in the isosceles trapezoidl A B 2x 3y 5x 5 94
![A 13 foot ladder is leaning on a tree The bottom of the ladder on on the ground at a distance of 6 feet from the base of the tree The base of the tree and the ground form a right angle as shown 13 ft 6 ft What is the distance in feet between the ground and the top of the ladder Round your answer to 2 decimal places](https://media.kunduz.com/media/sug-question-candidate/20220710224556823239-4662052.jpg?w=256)
Geometry
Heights & DistancesA 13 foot ladder is leaning on a tree The bottom of the ladder on on the ground at a distance of 6 feet from the base of the tree The base of the tree and the ground form a right angle as shown 13 ft 6 ft What is the distance in feet between the ground and the top of the ladder Round your answer to 2 decimal places
![Round your results to two decimal places ds a c 5 5 b 4 4 a](https://media.kunduz.com/media/sug-question-candidate/20220710224204560855-4662052.jpg?w=256)
![QUESTION For each triangle check all that apply Triangle A 60 000 60d Scalene Isosceles Equilateral 60 00 EXPLANATION 7 Triangle B 11 Scalene Isosceles Equilateral 5 Triangle C Here are some common ways to classify triangles 30 Scalene Isosceles Equilateral 60 4 Triangle D 8 8 Scalene Isosceles Equilateral](https://media.kunduz.com/media/sug-question-candidate/20220710135149296644-4663124.jpg?w=256)
Geometry
Solution of trianglesQUESTION For each triangle check all that apply Triangle A 60 000 60d Scalene Isosceles Equilateral 60 00 EXPLANATION 7 Triangle B 11 Scalene Isosceles Equilateral 5 Triangle C Here are some common ways to classify triangles 30 Scalene Isosceles Equilateral 60 4 Triangle D 8 8 Scalene Isosceles Equilateral
![Ve an EXACT answer No decimals No calculator X 60 45 12](https://media.kunduz.com/media/sug-question-candidate/20220710231524734083-4662052.jpg?w=256)
![Find the area of the figure Sides meet at right angles 5 yd 4 yd 5 yd 9 yd 10 yd yd](https://media.kunduz.com/media/sug-question-candidate/20220710033438446339-4663124.jpg?w=256)
![Find the value for z C 4 E 2 G 6 F 3 D](https://media.kunduz.com/media/sug-question-candidate/20220710221135581654-4662052.jpg?w=256)
![Find the volume of the solid below 5 cm 4 cm 6 cm 4 cm 5 cm 4 cm 3 cm](https://media.kunduz.com/media/sug-question-candidate/20220710131742363817-4663124.jpg?w=256)
![For each triangle check all that apply Triangle A 10 Oscalene Isosceles isosceles and equilateral triangles by side Equilateral 60 Triangle B 50 Scalene Lisosceles Equilateral 60 Triangle C 45 Scalene Isosceles OEquilateral 45 Triangle D 9 9 Oscalene Isosceles Equilateral 9](https://media.kunduz.com/media/sug-question-candidate/20220710141050554879-4663124.jpg?w=256)
Geometry
2D GeometryFor each triangle check all that apply Triangle A 10 Oscalene Isosceles isosceles and equilateral triangles by side Equilateral 60 Triangle B 50 Scalene Lisosceles Equilateral 60 Triangle C 45 Scalene Isosceles OEquilateral 45 Triangle D 9 9 Oscalene Isosceles Equilateral 9
![the triangles given have easy side lengths I am more so looking for the algebra showing the three triangles are congruent if possible The three triangles are known to be similar by A A A If the are of 3 you know same is three angles are it possible to show they side length congruent given each one](https://media.kunduz.com/media/sug-question-candidate/20220710171712716461-4573483.jpg?w=256)
Geometry
Solution of trianglesthe triangles given have easy side lengths I am more so looking for the algebra showing the three triangles are congruent if possible The three triangles are known to be similar by A A A If the are of 3 you know same is three angles are it possible to show they side length congruent given each one
![Find the volume of the solid below 5 cm 5 cm 6 cm 1 5 cm I 16 cm 5 cm 6 cm](https://media.kunduz.com/media/sug-question-candidate/20220710132248624448-4663124.jpg?w=256)
![Area of a piecewise rectangular figure Find the area of the figure Sides meet at right angles 4 m 3 m 4 m 7 m 7 m](https://media.kunduz.com/media/sug-question-candidate/20220710124149468440-4663124.jpg?w=256)
Geometry
AreaArea of a piecewise rectangular figure Find the area of the figure Sides meet at right angles 4 m 3 m 4 m 7 m 7 m
![Find the perimeter and area of the shaded figure below 1 unit 1 unit Perimeter units Area square units](https://media.kunduz.com/media/sug-question-candidate/20220710030525568268-4663124.jpg?w=256)
Geometry
AreaFind the perimeter and area of the shaded figure below 1 unit 1 unit Perimeter units Area square units
![Suppose is the function defined by f x Ax where a The domain of fis R4 A 6 4 3 B 0 2 1 1 C 4 0 1 1 D 0 0 1 0 E 9 0 3 F 18 4 6 6 3 9 0 1 1 2 1 3 For instance enter R 5 for R5 b The codomain off is R3 For instance enter R 5 for Rs c Select all of the vectors that are in the kernel of f You should be able to justify your answers there may be more than one correct answer 3 A 0 A 4 0 1 1 B 0 2 1 1 C 0 0 1 0 D 9 0 3 E 184 63 d Select all of the vectors that are in the image of f You should be able to justify your answers there may be more than one correct answer](https://media.kunduz.com/media/sug-question-candidate/20220710074408654232-4591990.jpg?w=256)
Geometry
VectorsSuppose is the function defined by f x Ax where a The domain of fis R4 A 6 4 3 B 0 2 1 1 C 4 0 1 1 D 0 0 1 0 E 9 0 3 F 18 4 6 6 3 9 0 1 1 2 1 3 For instance enter R 5 for R5 b The codomain off is R3 For instance enter R 5 for Rs c Select all of the vectors that are in the kernel of f You should be able to justify your answers there may be more than one correct answer 3 A 0 A 4 0 1 1 B 0 2 1 1 C 0 0 1 0 D 9 0 3 E 184 63 d Select all of the vectors that are in the image of f You should be able to justify your answers there may be more than one correct answer
![Volume of a piecewise rectangular prism Find the volume of the solid below 8 cm 6 cm 11 cm 5 cm 3 cm 1 cm 3 cm S cm](https://media.kunduz.com/media/sug-question-candidate/20220710132958180356-4663124.jpg?w=256)
Geometry
Coordinate systemVolume of a piecewise rectangular prism Find the volume of the solid below 8 cm 6 cm 11 cm 5 cm 3 cm 1 cm 3 cm S cm
![At a coffee shop the first 100 customers orders were as follows Hot Small Cold 5 Medium 48 Large 12 8 5 What is the probability that a customer ordered a small given that he or she ordered a cold drink Rounded to the nearest percent 22 Enter](https://media.kunduz.com/media/sug-question-candidate/20220710073846370858-4663167.jpg?w=256)
Geometry
2D GeometryAt a coffee shop the first 100 customers orders were as follows Hot Small Cold 5 Medium 48 Large 12 8 5 What is the probability that a customer ordered a small given that he or she ordered a cold drink Rounded to the nearest percent 22 Enter
![Find the area of the figure Sides meet at right angles 7 ft 8 ft 3 ft 5 ft 5 ft 8 ft](https://media.kunduz.com/media/sug-question-candidate/20220710031258753392-4663124.jpg?w=256)
Geometry
2D GeometryFind the area of the figure Sides meet at right angles 7 ft 8 ft 3 ft 5 ft 5 ft 8 ft