Geometry Questions

Select the correct answer length of AB Points A and B lie on a circle centered at point O If OA 5 and circumference what is the area of sector AOB Use the value rt 3 14 and choose the closest answer OA 19 6 square units B 39 3 square units OC 7 85 square units OD 15 7 square units

The equation of circle A is x y Cx Dy E 0 If the circle is moved horizontally to the left o the coefficients Cand Daffected 16 A s reserved 14 10 B S 0 02 6 8 10 A Cand Dare unchanged OB Cbecomes positive and D is unchanged OC Cbecomes negative and D is unchanged OD Cbecomes negative and D becomes positive

Graph the circle x y 100 Plot the center Then plot a point on the circle If you make a mistake you can erase yo circle by moving the second point onto the first 104 10 8 6 2 8 6 4 2 0 2 2 8 10

Type the correct answer in the box COSA In this triangle cosB A 4 24 3 90 B 3

What is the center of the circle x y 15x 47 Simplify any fractions

Graph the circle x 1 y 49 Plot the center Then plot a point on the circle If you make a mistake you can erase yo circle by moving the second point onto the first 104 10 8 4 2 6 2 2 0 8 4 9 2 10 8 10

Match each function to the correct name f z z f x z f x 2 f 2 z z z f z f x F EA

Graph the circle x 4 y 36 Plot the center Then plot a point on the circle If you make a mistake you can erase your circle by moving the second point onto the first 704 10 8 6 4 2 8 6 4 2 0 2 4 6 2 6 8 10

Write an equation for a quadratic function that has been reflected in the x axis compressed horizontally by a factor of and shifted up 8 units Of z Of z 8 52 08 2 2 5 Of z 8 5 x

Point O is the center of this circle C A 55 B 48 OC 45 D 35 96 B A

II In the figure b c 170 Calculate p 16 P a

Determine the perimeter and area of the shape shown below 2 ft Perimeter Area 2 ft feet square feet 8 ft 6 3 ft Round your answer to the nearest hundredth as needed

D 5 7 E 4 3 and R8 2 form the vertices of a triangle What is mz DEF A 30 O A B 45 O C D 60 90

Point O is the center of this circle What is m B A 56 B D 56 62 OC 72 C A

A cylindrical container is packaged inside a prism shaped box The box has a volume of 96 cubic units if the container has a diameter of 4 unit and a height of 6 units what is the volume of the empty space between the cylinder and the box Round the answer to two decimal places OA 20 60 cubic units OB 37 77 cubic units OC 51 27 cubic units OD 75 40 cubic units

Type the correct answer in each box Consider circle O where mBD m BPD mBC MAD 70 and mCA C 170 170 Reset O B P A Next 70 D

Select the correct answer from each drop down menu 15 In AABC mzB 90 cos C 17 and AB 16 units and AC Based on this information mzA am C Note that the angle measures are rounded to the nearest degree Cur

Q 2 10 p Answer each of the following a A matrix polynom is given by P x x By considering the 2 by 2 matrix as A SA find P A b For a given matrix A 2 calculate A where k is any integer

35 5 54 5 OA 7 meters 4 meters OC 3 meters 1 meters The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35 5 with respect to the ground If t ladder is moved by x meters toward the wall it makes an angle of 54 5 with the ground and its top is 14 meters above the ground What is xrounded to the nearest meter B 4m D 10 m

What is the difference of the lengths of Dand CE Use the value 3 14 and round the answer to two decimal places OA 1 25 units B 1 57 units OC 2 56 units E B 45 BC 2 units A AB 6 units B C

A hollow toy with the dimensions shown in the figure is to be stuffed with rigid foam What is the maximum amount of foam that can be stuff into the toy Round your answer to two decimal places Assume that both parts are stuffed and the foam does not expand or contract 4 inches OA 52 46 cubic inches OB 67 02 cubic inches C 83 78 cubic inches O D 112 15 cubic inches 12 inches

The curved parts of the figure are arcs centered at points A and C What is the approximate length of boundary ABCD Use the value and round the answer to one decimal place A B O 5 120 A 17 8 B 23 8 O C 23 1 D 28 1 30 C

Select the correct answer from each drop down menu Given that XBDC 29 BAC and BOC B A

This figure shows the nose cone of a rocket used for launching satellites The nose cone houses the satellite until the satellite is placed in orbit What is the volume of the nose cone 6 feet OA 45 cubic feet OB 60 cubic feet OC 90 cubic feet D 180 cubic feet 15 feet

Solve the equation sin x 20 cos 42 for x where 0 x OA 22 OB 62 C 28

A plane takes off at an angle of elevation of 15 and travels in a straight line for 3 000 meters What is the height of the plane above the ground at this instant OA 2898 m OB 2701 m OC 804 m D 776 m

A C and cos CPN P y In the diagram PN is the perpendicular bisector of AB and the angle bisector of CPD sin BPD B

Type the correct answer in the box Round your answer to the nearest whole number A manufacturer makes ball bearings out of molten steel It takes 5 24 cubic centimeters of molten steel to make have a diameter of 1 centimeter ball bearings that ea

Type the correct answer in each box Round your answers to the nearest tenth A ladder is placed 30 inches from a wall It touches the wall at a height of 50 inches from the ground The angle made by the ladder with the ground is degrees and the length of the ladder is inch

Find the area of the shaded region below All measurements are in meters 12 Area 10 4 meters 9

Type the correct answer in each box In this figure sin QOP cos L O R and cos ROQ sin 0

Select the correct answer from the drop down menu A 45 B 90 45 C

A 6 meter pole is supported by guy wires that are anchored to the ground as shown What is sin D D ground OA B OC 6 71 m guy wire D 3 6 71 6 71 6 36 C 6 6 m pole 90 A 6 71 m guy wire 3 m B

Isosceles triangle KLM is shown below Give the coordinates of K L 0 0 M s t K KOD

ram BCDE is shown below Give the coordinates of D E 0 p B 9 0 D c r 0 D D

Rhombus RSTU is shown below Give the coordinates of U and T s 1 0 R 0 g U T UD TD

cosceles triangle EFG is shown below Give the coordinates of G F 0 q K E p 0 G GOD

Question 4 Find the corresponding angles in A ABC and A CDE A Points D C B E O ZACB and ZCDE ZCBA and ZECD ZBAC and ZCED ZACB and ZCED ZBCA and ZECD ZBAC and ZCDE ZABC and ZCDE ZBCA and ZECD ZBAC and ZCED O ZABC and ZCED ZBCA and ZECD BAC and CD

gures then the two figures are sponding angles are congruent and corresponding sides are in proportion in two congruent figures O similar figures solid figures O plane figures you want to do o s com

rectangle with vertices A 4 8 B 16 8 C 16 20 and D 4 20 is dilated about the origin as the center Find the vertices of the image if the scale factor is 4 O A 1 2 B 4 8 C 4 5 and D 1 5 O A 1 2 B 4 2 C 4 5 and D 1 5 O A 1 2 B 4 2 C 4 5 and D 4 10 O A 2 2 B 4 2 C 4 5 and D 1 5 C 12

ourse Po Question 42 Points 1 are a pair of angles on the inner side of each of those two line but on opposite sides of the transversal O Parallel lines O Alternate Interior Angles O Congruent O Transformation Complete Later Complete

Question 36 The figure B is dilated from the figure A Find the scale factor 12 O 2 4 12 Points 2 10 Figure A 3 2 5 Figure B

The coordinates of the rectangle are 2 2 2 2 2 2 and 2 2 If the rectangle is compressed by 1 then which of the following is true Coordinates of the rectangle gets changed Coordinates of the rectangle gets inversed Coordinates of the rectangle remains same O Coordinates of the rectangle changes in sign

B Grade Results My Activities Tell me what you want to do Q Question 39 Points 2 Triangles PQR and PST are similar to each other Further PQ and PS are given as 8 and 16 units If PR 4 units then find PT and RT P OPT 8 units RT 4 units O PT 4 units RT 4 units O PT 8 units RT 8 units a Ims graderesults com OPT 2 units RT 4 units S

Question 43 Points 1 Similar right triangles have the same O size O shape Omeasures Ocolor

Grade Results My Activities 000 000 If DE BC What is the measure of AED B D 74 A 39 OLAED 67 LAED 45 OLAED 87 LAED 27 E C Tell m

Question 40 Two triangles are similar If the sum of the measures of two angles in a triangle is 125 what is the corresponding sum of the measures of the angles in the other triangle OOO 55 35 115 Points 1 125 Complete Later Complete

Question 44 Find the relationship between the given two triangles B 12 A Points 2 13 72 F 5 CE 30 Similar right triangles Equilatoral Congruent triangles 78 G

The period of this function is EIN 2x AM 2

Question 15 The figure ABCD is translated 5 units left and then rotated about the origin in clockwise direction through 90 It is then reflected across the y axis Identify the coordinates of the vertices of the transformed figure 4 0 Y Points 3 D A 2 C B A 1 3 B 1 1 C 3 2 and D 3 4 A 1 3 B 1 1 C 3 2 and D 3 4 A 3 1 B 1 1 C 3 2 and D 4 3 A 1 3 B 1 1 C 3 2 and D 3 4