Geometry Questions

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1 In the diagram below a circle is inscribed in a square Find the
Geometry
2D Geometry
1 In the diagram below a circle is inscribed in a square Find the
8 In the circle below ABCD is a quadrilateral and m A 8x 15 mzB y 10 mzC x 75 and m2D y 10 a Which student set up the correct equation to solve for x Why Student A 8x 15 x 75 Student B 8x 15 x 75 180 b Solve for the measure of ABC D B
Geometry
Coordinate system
8 In the circle below ABCD is a quadrilateral and m A 8x 15 mzB y 10 mzC x 75 and m2D y 10 a Which student set up the correct equation to solve for x Why Student A 8x 15 x 75 Student B 8x 15 x 75 180 b Solve for the measure of ABC D B
5 Solve for the value of x K J 83 M L
Geometry
2D Geometry
5 Solve for the value of x K J 83 M L
2 Quadrilateral ABCD is inscribed in circle O as shown below If m A y 30 and m2D x 10 which statement is true 1 x 85 and y 50 x 90 and y 45 x 110 and y 75 x 115 and y 70 A 80 x 10 8 75
Geometry
2D Geometry
2 Quadrilateral ABCD is inscribed in circle O as shown below If m A y 30 and m2D x 10 which statement is true 1 x 85 and y 50 x 90 and y 45 x 110 and y 75 x 115 and y 70 A 80 x 10 8 75
10 I In circle A below which of the following is not true EF is a chord b CB is a tangent line BA is a diameter a C d AD is a radius II In circle A which of the following is true Select all that apply a DE is a radius b CB is a tangent line BA is a diameter C d AD is a radius B A LL F
Geometry
2D Geometry
10 I In circle A below which of the following is not true EF is a chord b CB is a tangent line BA is a diameter a C d AD is a radius II In circle A which of the following is true Select all that apply a DE is a radius b CB is a tangent line BA is a diameter C d AD is a radius B A LL F
9 Find the area of the shaded sector 49x 6 175x m 2 30 m 11
Geometry
2D Geometry
9 Find the area of the shaded sector 49x 6 175x m 2 30 m 11
YOU DO ROUND 1 Use circle A above where AC 1 inch and m BAD 70 to answer questions x 1 and 2 1 What is the arc length of BC a 1 9 in b 1 2 in 1 0 in d 0 6 in C 1889 D a 1 9 in b 1 2 in c 1 0 in d 0 6 in B 4sh 2 What is the area of sector BAC A
Geometry
Heights & Distances
YOU DO ROUND 1 Use circle A above where AC 1 inch and m BAD 70 to answer questions x 1 and 2 1 What is the arc length of BC a 1 9 in b 1 2 in 1 0 in d 0 6 in C 1889 D a 1 9 in b 1 2 in c 1 0 in d 0 6 in B 4sh 2 What is the area of sector BAC A
In the diagram below of circle X shaded region in terms of 18 in and ma N Y 75 18 in X
Geometry
2D Geometry
In the diagram below of circle X shaded region in terms of 18 in and ma N Y 75 18 in X
1 What is the arc length of BC a 1 9 in b 1 2 in c 1 0 in
Geometry
2D Geometry
1 What is the arc length of BC a 1 9 in b 1 2 in c 1 0 in
Find the surface area of each cone in terms of 5 4 10 m 2 m 12 m 4 cm 5 m 3 cm 16 m 5 m 1 2 Find the lateral area of each regular pyramid to the nearest tenth 7 7 m 8 7 m 27 7 m 2 cm 40 cm Find the surface area of each regular pyramid to the nearest tenth 10 11 5 cm 20 cm 9 cm 2 cm 5 cm 30 m 9 cm 6 9 8 ft 15 ft 12 6 ft 21 ft 12 ft 15 in 24 in 12 ft 12 ft 12 ft
Geometry
2D Geometry
Find the surface area of each cone in terms of 5 4 10 m 2 m 12 m 4 cm 5 m 3 cm 16 m 5 m 1 2 Find the lateral area of each regular pyramid to the nearest tenth 7 7 m 8 7 m 27 7 m 2 cm 40 cm Find the surface area of each regular pyramid to the nearest tenth 10 11 5 cm 20 cm 9 cm 2 cm 5 cm 30 m 9 cm 6 9 8 ft 15 ft 12 6 ft 21 ft 12 ft 15 in 24 in 12 ft 12 ft 12 ft
The plane region bounded by the curve y 1 is revolved about the line 2 Find the volume of the solid generated Select one 32T 3 16T d cubic units cubic units 2 cubic units 3 4T cubic units 8T cubic units
Geometry
Area
The plane region bounded by the curve y 1 is revolved about the line 2 Find the volume of the solid generated Select one 32T 3 16T d cubic units cubic units 2 cubic units 3 4T cubic units 8T cubic units
James sees a car at the dealership for 23 000 base price 1 400 premium interior 1 500 navigation touch screen and 2 000 smart traffic sensors If his current vehicle is worth 8 000 and he s offered a 80 trade in rate what is the total cost of the car after the 1 100 destination fee A 29 000 B 22 600 C 12 800 D 21 000
Geometry
3D Geometry
James sees a car at the dealership for 23 000 base price 1 400 premium interior 1 500 navigation touch screen and 2 000 smart traffic sensors If his current vehicle is worth 8 000 and he s offered a 80 trade in rate what is the total cost of the car after the 1 100 destination fee A 29 000 B 22 600 C 12 800 D 21 000
Find the value of y 5 45 05 5 2 5 3 X
Geometry
Solution of triangles
Find the value of y 5 45 05 5 2 5 3 X
Electricity Gas Water 15 kwh 1 100 ft3 03 10 Gal Phone Internet Maintenance Joe lives in an apartment and uses 200 kwh of electricity 800 ft of gas 400 gallons of water and internet and phone plans as described in the table He pays no maintenance costs because he rents the apartment Calculate his monthly utility bill A 299 20 B 190 00 Utilities C 179 20 D 449 20 40 month 100 month 120 month
Geometry
2D Geometry
Electricity Gas Water 15 kwh 1 100 ft3 03 10 Gal Phone Internet Maintenance Joe lives in an apartment and uses 200 kwh of electricity 800 ft of gas 400 gallons of water and internet and phone plans as described in the table He pays no maintenance costs because he rents the apartment Calculate his monthly utility bill A 299 20 B 190 00 Utilities C 179 20 D 449 20 40 month 100 month 120 month
Find an equation of the hyperbola having foci at 6 1 and 10 1 and vertices at 7 1 and 9 1 0
Geometry
Vectors
Find an equation of the hyperbola having foci at 6 1 and 10 1 and vertices at 7 1 and 9 1 0
Find all solutions to the equation 2 cos 0 Write your answer in radians in terms of a and use the or button as necessary Example x 2ka k Zorx ka kez Help with this notation 0 0 8 0 0 X R krkez
Geometry
2D Geometry
Find all solutions to the equation 2 cos 0 Write your answer in radians in terms of a and use the or button as necessary Example x 2ka k Zorx ka kez Help with this notation 0 0 8 0 0 X R krkez
Find an equation of the parabola with vertex 3 3 and focus 3 9 1 2 9 0 0 S X
Geometry
2D Geometry
Find an equation of the parabola with vertex 3 3 and focus 3 9 1 2 9 0 0 S X
3 Determine the values of 0 if 0 0 360 given that sin 0 Use special triangles to determine the related acute angle 2 2
Geometry
2D Geometry
3 Determine the values of 0 if 0 0 360 given that sin 0 Use special triangles to determine the related acute angle 2 2
Rewrite the following equation in terms of base e Express the answer in terms of a natural logarithm then round to three decimal places y 3 2 0 7 Rewrite the equation in terms of base e Express the answer in terms of a natural logarithm
Geometry
Coordinate system
Rewrite the following equation in terms of base e Express the answer in terms of a natural logarithm then round to three decimal places y 3 2 0 7 Rewrite the equation in terms of base e Express the answer in terms of a natural logarithm
Solve for measure of angle a 55 25 a a If 2 secant lines intersect outside a circle a b Enter
Geometry
2D Geometry
Solve for measure of angle a 55 25 a a If 2 secant lines intersect outside a circle a b Enter
5 You are playing an arcade game In this game lights go round and round on the outside of the circle The probability that you stop the light in arc A or arc D is equal to the probability you stop the light arc C or arc B Using this information is E the center of the circle 20 E D 90
Geometry
2D Geometry
5 You are playing an arcade game In this game lights go round and round on the outside of the circle The probability that you stop the light in arc A or arc D is equal to the probability you stop the light arc C or arc B Using this information is E the center of the circle 20 E D 90
Question 5 of 6 Submit Test Oo Describe a sequence of transformations that take trapezoid ABCD to TSCU You may use the draw tool to help illustrate your thinking box B 22 23 Geometry Final Part 1 C
Geometry
2D Geometry
Question 5 of 6 Submit Test Oo Describe a sequence of transformations that take trapezoid ABCD to TSCU You may use the draw tool to help illustrate your thinking box B 22 23 Geometry Final Part 1 C
T 6 AT and AC are tangent lines to circle O The length of AC is 3 3 The length of AO is 6 You are playing Pin the Mouth on the Party Guy What is the probability you completely fail pin the mouth nowhere on the face aka on the party hat only A
Geometry
Area
T 6 AT and AC are tangent lines to circle O The length of AC is 3 3 The length of AO is 6 You are playing Pin the Mouth on the Party Guy What is the probability you completely fail pin the mouth nowhere on the face aka on the party hat only A
8 Find the area of the shaded pieces 20 10 in 3 652 in
Geometry
Area
8 Find the area of the shaded pieces 20 10 in 3 652 in
Zircle 3 BD and CD are tangent to Circle A ED and DG are tangent to Circle F Prove AABD is similar to AFGD Please make a flowchart proof A O F
Geometry
2D Geometry
Zircle 3 BD and CD are tangent to Circle A ED and DG are tangent to Circle F Prove AABD is similar to AFGD Please make a flowchart proof A O F
7 Find the volume and surface area of 34 3 cm 6 cm
Geometry
2D Geometry
7 Find the volume and surface area of 34 3 cm 6 cm
4 AABD is similar to AFGD BD and CD are tangent to Circle A ED and DG are tangent to Circle F Given that AD 57 956 in EF 3 in and we know the angles marked on the diagram find the length of BD You may use the fact that AABD AACD and AFGD AFED However if you use this fact or the fact that AABD AFGD please state that you are using it Also find the scale factor 2 A B C 2x 10 12x 15 D 6x E G F
Geometry
2D Geometry
4 AABD is similar to AFGD BD and CD are tangent to Circle A ED and DG are tangent to Circle F Given that AD 57 956 in EF 3 in and we know the angles marked on the diagram find the length of BD You may use the fact that AABD AACD and AFGD AFED However if you use this fact or the fact that AABD AFGD please state that you are using it Also find the scale factor 2 A B C 2x 10 12x 15 D 6x E G F
Find the area of the region f 1 x sqrt x 2 1 pi
Geometry
Area
Find the area of the region f 1 x sqrt x 2 1 pi
Find the value of y 148 y y 1 V
Geometry
2D Geometry
Find the value of y 148 y y 1 V
In the figure AB BC and CE DE BAG 30 CBD 46 DCE 40 and EFG 32 ACF 30 F 32 B 88 46 E 40 D
Geometry
2D Geometry
In the figure AB BC and CE DE BAG 30 CBD 46 DCE 40 and EFG 32 ACF 30 F 32 B 88 46 E 40 D
D In the figure ABCD is a trapezium and EF is a straight BCF 154 and EAD 102 Find ZADC E 102 4 B 154 F
Geometry
2D Geometry
D In the figure ABCD is a trapezium and EF is a straight BCF 154 and EAD 102 Find ZADC E 102 4 B 154 F
e Thinking Consider a line x y z 1 2 4 t 3 4 5 te R and the plane What would the intersection between and the plane be Show your thinking e g algebraic work diagram
Geometry
3D Geometry
e Thinking Consider a line x y z 1 2 4 t 3 4 5 te R and the plane What would the intersection between and the plane be Show your thinking e g algebraic work diagram
The number of cars waiting at a bank for 60 minutes is as follows Cars Frequency 0 2 1 9 2 3 4 16 12 8 P 5 5 6 Find the probability of 5 cars waiting in line Probability 6 7 8 4 2 1
Geometry
Vectors
The number of cars waiting at a bank for 60 minutes is as follows Cars Frequency 0 2 1 9 2 3 4 16 12 8 P 5 5 6 Find the probability of 5 cars waiting in line Probability 6 7 8 4 2 1
Find the measure of minor arc JN L 41 K 47 M N J Write your answer as a whole number or a
Geometry
Coordinate system
Find the measure of minor arc JN L 41 K 47 M N J Write your answer as a whole number or a
Find parametric equations for the line through the point 0 2 3 that is perpendicular to the line x 1 t y 2 t z 4t and intersects this line Use the paramete x e e z t
Geometry
Coordinate system
Find parametric equations for the line through the point 0 2 3 that is perpendicular to the line x 1 t y 2 t z 4t and intersects this line Use the paramete x e e z t
Find a vector equation and parametric equations for the line Use the parameter t the line through the point 4 6 1 and perpendicular to the plane 2x 4y 4z r t x t y t z t
Geometry
Vectors
Find a vector equation and parametric equations for the line Use the parameter t the line through the point 4 6 1 and perpendicular to the plane 2x 4y 4z r t x t y t z t
Find the point at which the line intersects the given plane x 44t y 5t z 1 t x 2y z 8 x y z
Geometry
2D Geometry
Find the point at which the line intersects the given plane x 44t y 5t z 1 t x 2y z 8 x y z
18 The diagram shows a vertical tree PQ and two observers at A and B standing on horizontal ground AQ 25 m QAP 37 QBP 42 and AQB 75 a Find the height of the tree h P 48 25M 4278 the distance between the two observers Smks
Geometry
Area
18 The diagram shows a vertical tree PQ and two observers at A and B standing on horizontal ground AQ 25 m QAP 37 QBP 42 and AQB 75 a Find the height of the tree h P 48 25M 4278 the distance between the two observers Smks
Provide the missing reasons for the proof Given LC LE Prove AABC ADBE A B W D E
Geometry
2D Geometry
Provide the missing reasons for the proof Given LC LE Prove AABC ADBE A B W D E
Triangle ABC is similar to triangle FGH Given the following angle measures find the missing angle measures m A 22 degrees m B 75 degrees Enter your answers as numbers only m F degrees A m H degrees A A m G A degrees m C degrees
Geometry
2D Geometry
Triangle ABC is similar to triangle FGH Given the following angle measures find the missing angle measures m A 22 degrees m B 75 degrees Enter your answers as numbers only m F degrees A m H degrees A A m G A degrees m C degrees
U W S X T R In the figure triangle UVW is similar to triangle RST VU 48 VW 22 and SR 24 What is the value of x Show all your work
Geometry
2D Geometry
U W S X T R In the figure triangle UVW is similar to triangle RST VU 48 VW 22 and SR 24 What is the value of x Show all your work
Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding are proportional
Geometry
2D Geometry
Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding are proportional
Which of the following postulates and theorems can be used to prove triangle similarity AA SSS HL ASA
Geometry
2D Geometry
Which of the following postulates and theorems can be used to prove triangle similarity AA SSS HL ASA
of each sector Round your answers to the nearest tenth 23 1059
Geometry
3D Geometry
of each sector Round your answers to the nearest tenth 23 1059
length of each arc Round your answers to the nearest tenth 12 240
Geometry
Area
length of each arc Round your answers to the nearest tenth 12 240
Find the APPROXIMATE Length of each arc Round your answers to the nearest tenth 11 6 9 yd
Geometry
2D Geometry
Find the APPROXIMATE Length of each arc Round your answers to the nearest tenth 11 6 9 yd
Arc Length and Sector Area Find the EXACT area of each sector 14 9 in 300
Geometry
2D Geometry
Arc Length and Sector Area Find the EXACT area of each sector 14 9 in 300
Find the slope of the line If an answer is undefined enter UNDEFINED y 5x 9
Geometry
2D Geometry
Find the slope of the line If an answer is undefined enter UNDEFINED y 5x 9
T F 2x 4 5 C 1 E 6 Line Segments about Circles D Find the measure of the line segment indicated
Geometry
2D Geometry
T F 2x 4 5 C 1 E 6 Line Segments about Circles D Find the measure of the line segment indicated
Circles Solve for x 11 19 8 9 X
Geometry
2D Geometry
Circles Solve for x 11 19 8 9 X