Geometry Questions

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Question 10 Find the enlargement ratio of the circle C with center 3 1 of radius 2 units and circle C with center 5 4 of radius 3 units when C is transformed to C 213 0 1 312 Points 1 5
Geometry
Coordinate system
Question 10 Find the enlargement ratio of the circle C with center 3 1 of radius 2 units and circle C with center 5 4 of radius 3 units when C is transformed to C 213 0 1 312 Points 1 5
Question 7 Points 2 Triangle ABC has sides BC 4 cm AC 11 cm and AB 8 cm Find the angle A O 16 21 degrees O 33 94 degrees 129 83 degrees 26 16 degrees
Geometry
2D Geometry
Question 7 Points 2 Triangle ABC has sides BC 4 cm AC 11 cm and AB 8 cm Find the angle A O 16 21 degrees O 33 94 degrees 129 83 degrees 26 16 degrees
Question 9 Find the measure of angle A in the triangle ABC C A 20 12 Points 2 O 37 5 O 43 5 O 67 5 000 B 14
Geometry
2D Geometry
Question 9 Find the measure of angle A in the triangle ABC C A 20 12 Points 2 O 37 5 O 43 5 O 67 5 000 B 14
Question 5 A telescope at the top of a building of 100 m height observes a ship with a depression angle of 45 degrees Find the distance between the ship and the building O 45 m Points 1 O 70 71 m O 100 m O 145 m
Geometry
2D Geometry
Question 5 A telescope at the top of a building of 100 m height observes a ship with a depression angle of 45 degrees Find the distance between the ship and the building O 45 m Points 1 O 70 71 m O 100 m O 145 m
Question 4 Points 2 A rectangular plot of land is 40 feet long and 25 feet wide How long is a walkway along the diagonal O 46 17 feet O 47 17 feet O 45 17 feet O 44 17 feet
Geometry
Area
Question 4 Points 2 A rectangular plot of land is 40 feet long and 25 feet wide How long is a walkway along the diagonal O 46 17 feet O 47 17 feet O 45 17 feet O 44 17 feet
Question 6 Points 3 The angle of elevation of a car on a road to the top of a tower is 60 If the height of the tower is 80 feet find the distance between the car and the tower O 46 15 feet 46 19 feet 40 19 feet 56 19 feet Previous Complete Later 00 00 00 00 Complete
Geometry
2D Geometry
Question 6 Points 3 The angle of elevation of a car on a road to the top of a tower is 60 If the height of the tower is 80 feet find the distance between the car and the tower O 46 15 feet 46 19 feet 40 19 feet 56 19 feet Previous Complete Later 00 00 00 00 Complete
Question 3 Find the missing angle of VOW from the given figure 19 O 61 O 66 Points O 96 W
Geometry
Solution of triangles
Question 3 Find the missing angle of VOW from the given figure 19 O 61 O 66 Points O 96 W
Question 1 What is the value of O 0 3535 O 0 65 Points 1 O 0 125 O 0 75 sin45 2
Geometry
Solution of triangles
Question 1 What is the value of O 0 3535 O 0 65 Points 1 O 0 125 O 0 75 sin45 2
Question 5 The radius of a cylindrical tank is 12 ft and its surface area is 1250 sq ft Find the height of the tank O 4 ft O 5 ft O 6 ft Points 3 O 7 ft
Geometry
Area
Question 5 The radius of a cylindrical tank is 12 ft and its surface area is 1250 sq ft Find the height of the tank O 4 ft O 5 ft O 6 ft Points 3 O 7 ft
The length of a rectangular table is two times its width If the perimeter of the table is 2 000 ft set up an equation to find the width w of the table 2000 2 2w w 1000 2 3w w O2000 2 2wx W 2000 2 3wx W
Geometry
2D Geometry
The length of a rectangular table is two times its width If the perimeter of the table is 2 000 ft set up an equation to find the width w of the table 2000 2 2w w 1000 2 3w w O2000 2 2wx W 2000 2 3wx W
The length of a rectangle is 8 inches more than its width Set up an equation to find the width of the rectangle if the area is 32 sq inches Owx 8 32 Ow 8 w 32 Ow 8 w 32 w 8 w 32
Geometry
Heights & Distances
The length of a rectangle is 8 inches more than its width Set up an equation to find the width of the rectangle if the area is 32 sq inches Owx 8 32 Ow 8 w 32 Ow 8 w 32 w 8 w 32
Question 3 Points 2 Find the largest area of the circle enclosed in a square provided the area of the square is 324 sq cm O 254 sq cm O 255 sq cm O 256 sq cm O 257 sq cm
Geometry
2D Geometry
Question 3 Points 2 Find the largest area of the circle enclosed in a square provided the area of the square is 324 sq cm O 254 sq cm O 255 sq cm O 256 sq cm O 257 sq cm
Question 1 There is a circular garden enclosed by a square field The area of the square field is 81 sq cm Find the largest area of the circular garden enclosed by a square field Points 3 63 585 sq cm 64 585 sq cm 65 585 sq cm 66 585 sq cm
Geometry
Area
Question 1 There is a circular garden enclosed by a square field The area of the square field is 81 sq cm Find the largest area of the circular garden enclosed by a square field Points 3 63 585 sq cm 64 585 sq cm 65 585 sq cm 66 585 sq cm
wide is it O 2 ft O 1 ft O 3 ft O 4 ft ectangular mat is 16 feet It is 6 feet long How
Geometry
Heights & Distances
wide is it O 2 ft O 1 ft O 3 ft O 4 ft ectangular mat is 16 feet It is 6 feet long How
Question 4 Points 3 There is a circular garden enclosed by a square field The area of the square field is 64 sq cm Find the largest area of the circular garden enclosed by a square field O 201 06 sq cm 50 28 sq cm O 150 sq cm O 64 sq cm
Geometry
2D Geometry
Question 4 Points 3 There is a circular garden enclosed by a square field The area of the square field is 64 sq cm Find the largest area of the circular garden enclosed by a square field O 201 06 sq cm 50 28 sq cm O 150 sq cm O 64 sq cm
The side measures of the triangle are 4 cm 7 cm and 9 cm Find the perimeter of the triangle 20 cm 252 cm 25 cm Points 3 18 cm
Geometry
Solution of triangles
The side measures of the triangle are 4 cm 7 cm and 9 cm Find the perimeter of the triangle 20 cm 252 cm 25 cm Points 3 18 cm
Which of the following can be used to find the volume V of a sphere whose radius is r O V 4 3T cubic units V 2 3 r cubic units O V 4r cubic units
Geometry
Solution of triangles
Which of the following can be used to find the volume V of a sphere whose radius is r O V 4 3T cubic units V 2 3 r cubic units O V 4r cubic units
Question 2 Points 3 A 42 inch wire is bent into the shape of a rectangle whose width is twice its length Set up an equation to find the length of the rectangle O 2 21 1 42 O 21 1 42 O 21 1 2 42 O 21 1 42
Geometry
Heights & Distances
Question 2 Points 3 A 42 inch wire is bent into the shape of a rectangle whose width is twice its length Set up an equation to find the length of the rectangle O 2 21 1 42 O 21 1 42 O 21 1 2 42 O 21 1 42
Find the two dimensional shape of the given object O Rectangle O Square rectangular prism
Geometry
2D Geometry
Find the two dimensional shape of the given object O Rectangle O Square rectangular prism
Question 7 Points 2 What three dimensional figure models the fish tank O Sphere O Rectangular prism O Square pyramid
Geometry
Area
Question 7 Points 2 What three dimensional figure models the fish tank O Sphere O Rectangular prism O Square pyramid
Identify the geometrical name of the object shown below By lidar Sagdejev Spedious GFDL http www gnu org copyleft id html or CC BY SA 4 0 https creativecommons org licenses by sa 4 0 from Wikimedia Commons Rectangular prism O Triangular prism Hexagonal prism
Geometry
Heights & Distances
Identify the geometrical name of the object shown below By lidar Sagdejev Spedious GFDL http www gnu org copyleft id html or CC BY SA 4 0 https creativecommons org licenses by sa 4 0 from Wikimedia Commons Rectangular prism O Triangular prism Hexagonal prism
rested in predicting the temperature in Fahrenheit of the striped ground cricket from their chirps per second We take a simple random sample of 15 striped ground crickets Below are the R outputs for a linear regression model Coefficients Estimate Std Error t value Pr ltl Intercept 25 2323 10 0601 2 508 0 026183 chirps 0 6012 5 475 0 000107 Signif codes Multiple R squared 0 6975 01 O 0 0 001 0 01 0 000107 0 001085 Now suppose we want to test if chirps per second are a significant predictor of temperature in Fahrenheit of the striped ground cricket What is the p value in this scenario 0 05 0 1 1
Geometry
Vectors
rested in predicting the temperature in Fahrenheit of the striped ground cricket from their chirps per second We take a simple random sample of 15 striped ground crickets Below are the R outputs for a linear regression model Coefficients Estimate Std Error t value Pr ltl Intercept 25 2323 10 0601 2 508 0 026183 chirps 0 6012 5 475 0 000107 Signif codes Multiple R squared 0 6975 01 O 0 0 001 0 01 0 000107 0 001085 Now suppose we want to test if chirps per second are a significant predictor of temperature in Fahrenheit of the striped ground cricket What is the p value in this scenario 0 05 0 1 1
30 sing 9 sn 9 3 Jan T 2 3cos x ilerden hangisine e ittir B 2 sin x D 1 cos x 2007 2sin x cos x cos x t 2 COS 6 sin 28 co a 2 3 6 ng sin x sinx cos x cos3x cosx sin2x D tan x B cos x 1 02 0 ifadesinin sadele tirilmi bi imi a a dakiler den hangisidir A sinx 1 sin 2x E 1 18 col C cotx 9 2sin 8 cos e cos 0 3sin E oldu una g re cot 0 k B 1 3 A 2 D 10 1 C2 D 3
Geometry
Solution of triangles
30 sing 9 sn 9 3 Jan T 2 3cos x ilerden hangisine e ittir B 2 sin x D 1 cos x 2007 2sin x cos x cos x t 2 COS 6 sin 28 co a 2 3 6 ng sin x sinx cos x cos3x cosx sin2x D tan x B cos x 1 02 0 ifadesinin sadele tirilmi bi imi a a dakiler den hangisidir A sinx 1 sin 2x E 1 18 col C cotx 9 2sin 8 cos e cos 0 3sin E oldu una g re cot 0 k B 1 3 A 2 D 10 1 C2 D 3
The units are in inches 8 Hint do not calculate the area of the base of the cone SA in
Geometry
Area
The units are in inches 8 Hint do not calculate the area of the base of the cone SA in
8 Which trigonometric ratio could we use with the given information to find 9 Find 15 A 150 11 Find y x Round to two decimal places 10 Which trigonometric ratio could we use with the given information to find y
Geometry
Solution of triangles
8 Which trigonometric ratio could we use with the given information to find 9 Find 15 A 150 11 Find y x Round to two decimal places 10 Which trigonometric ratio could we use with the given information to find y
4 Find the surface area of the following solid Do not include the bottom of the half cylinder The units are in meters A SA 15 m
Geometry
Coordinate system
4 Find the surface area of the following solid Do not include the bottom of the half cylinder The units are in meters A SA 15 m
3 Find the volume of the box below 5 ft 20 ft S ft V 25 ft ft 3 20 ft 5 ft 25 ft 5 ft
Geometry
2D Geometry
3 Find the volume of the box below 5 ft 20 ft S ft V 25 ft ft 3 20 ft 5 ft 25 ft 5 ft
6 Find the volume of the box whose length width and height are given respectively 14 mm 3 mm and 6 mm V mm 3
Geometry
Area
6 Find the volume of the box whose length width and height are given respectively 14 mm 3 mm and 6 mm V mm 3
2 Find the volume of the box whose length width and height are given respectively 15 mm 2 mm and 5 mm V mm 3
Geometry
3D Geometry
2 Find the volume of the box whose length width and height are given respectively 15 mm 2 mm and 5 mm V mm 3
3 Find the surface area of the following solid The units are in kilometers SA 25 130 km
Geometry
Area
3 Find the surface area of the following solid The units are in kilometers SA 25 130 km
4 Find the volume of the cylinder below 6 cm cm
Geometry
Area
4 Find the volume of the cylinder below 6 cm cm
5 Find the volume of the cylinder whose diameter is 14 inches and height is 4 inches V in 3
Geometry
Coordinate system
5 Find the volume of the cylinder whose diameter is 14 inches and height is 4 inches V in 3
All changes a Two buildings building A and building B are 200 and 1000 feet tall respectively The two building are placed side by side and a telephone wire is connected from the top of building A to the top of building B creating a 20 a from building B to building A Building A is on the left and building B is on the right 12 What is the difference in the heights of the two buildings Height Difference feet 13 We want to know how far apart the buildings are Which trigonometric ratio could we use with the given information to find the missing distance 14 Find the distance between the two buildings 20
Geometry
Heights & Distances
All changes a Two buildings building A and building B are 200 and 1000 feet tall respectively The two building are placed side by side and a telephone wire is connected from the top of building A to the top of building B creating a 20 a from building B to building A Building A is on the left and building B is on the right 12 What is the difference in the heights of the two buildings Height Difference feet 13 We want to know how far apart the buildings are Which trigonometric ratio could we use with the given information to find the missing distance 14 Find the distance between the two buildings 20
1 Find the volume of the box below V 8 in in 3 3 in 3in
Geometry
3D Geometry
1 Find the volume of the box below V 8 in in 3 3 in 3in
15 40 B 75 ft Ashley you are standing 75 ft away from the base of a tree and using your awesome powers of deduction and the proper geometric tools you ve figured out that the angle of elevation from the ground to the 40 4 Describe the process that you d go through to solve for the height of the tree using the given information i U Font Family AA A FEE EB
Geometry
Heights & Distances
15 40 B 75 ft Ashley you are standing 75 ft away from the base of a tree and using your awesome powers of deduction and the proper geometric tools you ve figured out that the angle of elevation from the ground to the 40 4 Describe the process that you d go through to solve for the height of the tree using the given information i U Font Family AA A FEE EB
23 1 Write your answers in the MOST REDUCED FORM 2 3 cos A cos B sin A 16 32 3 sin A
Geometry
2D Geometry
23 1 Write your answers in the MOST REDUCED FORM 2 3 cos A cos B sin A 16 32 3 sin A
graph the quadratic function y 4x 30x 160 The vertex is Type an ordered pair Determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function Choose the correct graph below O A 20 10 5 by 70 300 50 O B 70 20 5 by 300 70 50 Q O C Q Q 20 10 5 by 300 70 50
Geometry
2D Geometry
graph the quadratic function y 4x 30x 160 The vertex is Type an ordered pair Determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function Choose the correct graph below O A 20 10 5 by 70 300 50 O B 70 20 5 by 300 70 50 Q O C Q Q 20 10 5 by 300 70 50
P y 6 5 4 3 2 1 4 3 2 10 10 2 3 S Q 12 3 4 5 6 R x Analyze the algebraic properties of this quadrilateral The fully reduced slope of PQ is Select The fully reduced slope of PS is Select The fully reduced slope of SR is Select The fully reduced slope of QR is Select The length of PQ is Select The length of PS is Select The length of SR is Select
Geometry
2D Geometry
P y 6 5 4 3 2 1 4 3 2 10 10 2 3 S Q 12 3 4 5 6 R x Analyze the algebraic properties of this quadrilateral The fully reduced slope of PQ is Select The fully reduced slope of PS is Select The fully reduced slope of SR is Select The fully reduced slope of QR is Select The length of PQ is Select The length of PS is Select The length of SR is Select
W 8 7 6 5 4 3 2 1 X The slope of ZY is N 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Analyze the algebraic properties of this quadrilateral The slope of WX is Select The slope of WZ is Select Select The slope of XY is Select The length of WX is Select The length of WZ is Select The length of ZY is Select O O Y X
Geometry
Coordinate system
W 8 7 6 5 4 3 2 1 X The slope of ZY is N 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Analyze the algebraic properties of this quadrilateral The slope of WX is Select The slope of WZ is Select Select The slope of XY is Select The length of WX is Select The length of WZ is Select The length of ZY is Select O O Y X
2 1 4 3 2 10 1 M 234 3 4 567 6 7 J 2 3 The slope of LK is L Select The slope of ML is Select Analyze the algebraic properties of Quadrilateral 2 The slope of MJ is Select The slope of JK is Select 45 The length of MJ is Select The length of ML is Select The length of LK is Select The length of JK is Select 7 8 9 10 K X
Geometry
Area
2 1 4 3 2 10 1 M 234 3 4 567 6 7 J 2 3 The slope of LK is L Select The slope of ML is Select Analyze the algebraic properties of Quadrilateral 2 The slope of MJ is Select The slope of JK is Select 45 The length of MJ is Select The length of ML is Select The length of LK is Select The length of JK is Select 7 8 9 10 K X
E H y 4 3 21 2 1 4 3 2 10 1 2 3 4 5 6 1 2 32 4 3 5 G The slope of HG is Analyze the algebraic properties of this quadrilateral The slope of HE is Select Select The slope of GF is Select The slope of EF is Select The length of HE is Select The length of HG is Select F The length of GF is Select Soloct X C
Geometry
Coordinate system
E H y 4 3 21 2 1 4 3 2 10 1 2 3 4 5 6 1 2 32 4 3 5 G The slope of HG is Analyze the algebraic properties of this quadrilateral The slope of HE is Select Select The slope of GF is Select The slope of EF is Select The length of HE is Select The length of HG is Select F The length of GF is Select Soloct X C
A kite by definition has 2 sets of consecutive congruent sides Using this definition let s prove that the diagonals of a kite are perpendicular Start by completing the diagonal constructions in this Geometry Tool B Given kite FGHJ Prove FHL GJ Statement FGHJ is a kite FG FJ G HG HJ F is equidistant from G and J F is on the perpendicular bisector of GJ H H is equidistant from G and J H is on the perpendicular bisector of GJ FH GJ FH is the perpendicular bisector of GJ Select Select Select Select Select Select Select Select Select Reason O
Geometry
Area
A kite by definition has 2 sets of consecutive congruent sides Using this definition let s prove that the diagonals of a kite are perpendicular Start by completing the diagonal constructions in this Geometry Tool B Given kite FGHJ Prove FHL GJ Statement FGHJ is a kite FG FJ G HG HJ F is equidistant from G and J F is on the perpendicular bisector of GJ H H is equidistant from G and J H is on the perpendicular bisector of GJ FH GJ FH is the perpendicular bisector of GJ Select Select Select Select Select Select Select Select Select Reason O
Aiden claims that the diagonals of an isosceles trapezoid are always congruent but he provides no evidence to back up his claim Using evidence and geometric postulates prove that the diagonals of a trapezoid are congruent C B A D Given Isosceles Trapezoid ABCD Prove AC BD Statement ABCD is an Isosceles Trapezoid AB DC ZBAD LCDA AD AD ABADA CDA TO D Select Select Select Select Select Select Reason O
Geometry
Coordinate system
Aiden claims that the diagonals of an isosceles trapezoid are always congruent but he provides no evidence to back up his claim Using evidence and geometric postulates prove that the diagonals of a trapezoid are congruent C B A D Given Isosceles Trapezoid ABCD Prove AC BD Statement ABCD is an Isosceles Trapezoid AB DC ZBAD LCDA AD AD ABADA CDA TO D Select Select Select Select Select Select Reason O
3 7 mi Current Location 87 5 5 8 mi FINISH On the alternate trail the team will be able to maintain 13 minute miles Calculate the amount of minutes it will take Yellow Team to travel the alternat trail Round answer to two decimal places
Geometry
2D Geometry
3 7 mi Current Location 87 5 5 8 mi FINISH On the alternate trail the team will be able to maintain 13 minute miles Calculate the amount of minutes it will take Yellow Team to travel the alternat trail Round answer to two decimal places
In the diagram E is the centroid of AABC AD 7 5 centimeters AD 1 BC and AE BD A E Calculate the perimeter of AABC The perimeter of AABC is approximately B D C centimeters
Geometry
2D Geometry
In the diagram E is the centroid of AABC AD 7 5 centimeters AD 1 BC and AE BD A E Calculate the perimeter of AABC The perimeter of AABC is approximately B D C centimeters
Determine the equation in standard form of the hyperbola that satisfies the given conditions 4 Foci at 1 8 1 2 Slope of one asymptote is 3
Geometry
Coordinate system
Determine the equation in standard form of the hyperbola that satisfies the given conditions 4 Foci at 1 8 1 2 Slope of one asymptote is 3
The perimeter of a rectangle is 60 feet Describe the possible lengths of a side if the area of the rectangle is not to exceed 161 square feet Express the possible lengths of a side Type your answer in interval notation
Geometry
2D Geometry
The perimeter of a rectangle is 60 feet Describe the possible lengths of a side if the area of the rectangle is not to exceed 161 square feet Express the possible lengths of a side Type your answer in interval notation
calculate the measure of arc RS Image not to scale R V Y ST X T diamat IZC
Geometry
2D Geometry
calculate the measure of arc RS Image not to scale R V Y ST X T diamat IZC
18 Find the measure of arc RS if m QPT 32 R S OP mLQPT 0 P T
Geometry
2D Geometry
18 Find the measure of arc RS if m QPT 32 R S OP mLQPT 0 P T
Points A B and C are graphed Find the coordinates of the circumcenter and the radius of the circumscribed circle for AABC yf 12 10 8 6 4 2 B A 2 4 6 8 C 10 12 radius X
Geometry
Coordinate system
Points A B and C are graphed Find the coordinates of the circumcenter and the radius of the circumscribed circle for AABC yf 12 10 8 6 4 2 B A 2 4 6 8 C 10 12 radius X