Geometry Questions

Given A ABC FC BA and AF bisects ZBAC Prove AB AC BD CD B A D F C Note Image not drawn to scale

Given Prove A 4 BD AE BA CB 3 E DE CD B 1 2 D C

In A FEG point His between points E and F point J is between points F and G and HJ EG CH 14 HF 26 and FG 60 What is FJ ter your answer in the box J 39

Calculator A rectangular lawn is 65 m long and 34 m wide Over time people have walked along a diagonal as a shortcut and have created a straight path What is the length of the path to the nearest tenth of a meter Enter your answer as a deicmal in the box 65 m 34 m

Calculator What is value of x Enter your answer in the box X 4 B 8 X 4 2x 1

Calculator BC is parallel to DE What is AC Enter your answer in the box units 10 D 8 B A C 15 E

Triangle ABC is similar totriangle DEF The length of AC is 12 cm The length of EF is 15 cm The length of DF is 9 cm What is the length of BC Enter your answer in the box 20 cm

continuing from 1 What is the distance between the two points shown in the picture 4 O 3 O 5 03 2 Ay 2 2 2 4 X

What equation will help you find the distance d between the two points pictured here 4 1 2 2 1 d O 2 1 d O 1 2 d 01 2 d 2 2 A 2 4 X

The diagram below shows the cross section of a cylinder of radius 2 5 m A belt is wrapped around the cylinder and passes through a point 5 metres from the centre of the cylinder 5m

Provide the missing reasons for the proof Given CZE Prove AABC ADBE A B K D E

Flagpole a and flagpole c are both casting a shadow that ends at point s The distance x between the flagpoles is 12 m The distance y from flagpole c to point s is 10 m The height of flagpole a is 4 4 m What is the height of flagpole c

Expense Gas Insurance Oil Registration Depreciation Yearly cost or rate 500 00 400 00 100 00 100 00 20 What is the cost per mile over the course of a year for a 20 000 car that depreciates 20 with costs shown in the table and that has been driven for 10 000 miles A 0 26 per mile B 1 11 per mile C 4 11 per mile D 0 51 per mile

of transformation that ta 5 describe Sequence trapezoid ABCD to TSEU DOK MICK the sequence a

WE DO 3 In circle C above m B 11x 10 and m ADB 3x 15 Find the value of x and mZACB A D C B

3 In circle C above m B 11x 10 and m ADB 3x 15 Find the value of x and m ACB A FEXAMOS D C B

7 Find the length of TV T U 14 7 4 6 X 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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