Geometry Questions

10 Find the area of the triangle Area 6cm 3cm cm

5 Explain the process that you would go through to determine the height of this triangle B i U Font Family AA A

4 Find the area of the triangle The units are in km Area 5 10 km

3 Set up an equation to solve for x x 1 2x 1 Input your answers WITHOUT spaces 4 Solve for x X 5 Find A B C by plugging in your answer from the last question in for

x 2 A x3x 2x 4 Angle B x 3x C 7 Since B is split by a line we must add the two parts of the angle together 8 Set up an equation to solve for x x 2 2x 4 Input your answers WITHOUT spaces

14 Use the Triangle Inequality to determine whether it is possible to draw a triangle with sides of the given measures 16 17 20 O Yes O No

1 Set up an equation to solve for x X 90 2 Solve for x X 11 degrees

1 point Recall that similarity of matrices is an equivalence relation that is the relation is reflexive symmetric and transitive 14 8 18 10 Verify that A A T AT T P S We know that A and B Q R 3 1 1 We also know that B and C 3 2 0 29 are similar since A P BP where Verify that BA by finding an S such that B S AS 2 1 is similar to itself by finding a T such that 6 8 2 2 Verify that A C by finding an R such that A R CR are similar since B Q CQ where

c csc2 x 2csc x cot x cot2 x tan2 x N X 3 points

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 40ft s the ball s height in feet after seconds is given by the following Find all t values of for which the ball s height is 26 feet

the system of linear equations ora y and z We get Number y Number z Number 5x 4y 3z 3 5x 5y 3 z 2 5x 4y z 3

5 A ship is being blown by a breeze with a force of 100 N on a bearing of 280 as on a bearing of 170 A tugboat holds it in place Find the size and bearing of the shown in the diagram It is pulled by a rope attached to the shore with force 50 N force F applied by the tugboat 100 N 80 north 0 170 50N

14 A particle has three horizontal forces acting on it as shown in the diagram Show that cos a 14 13 cos B and find an expression for sin a Use 15 cos a sin 1 to get an equation in B Hence find a and B 14N a 15 N

Find the volume of the composite figure Round to the nearest whole number Volum 8 cm 16 cm 14 cm pal

Points 3 Question 5 The vertices A 2 3 B 4 10 and C 5 3 form a triangle Find the sides of the triangle O 75 85 and 90 O 80 85 and 90 80 90 and 100 85 85 and 170 Complete Later Complete

Q st nd mids and 000 Question 9 Find the perimeter of the trapezoid shown in the gr D Points 4 A 2 6 O 4 units O 8 units Y 2 0 2 O 17 66 units B 2 C X

Question 7 Points 3 A triangle has the coordinates A 4 4 B 8 4 and C 6 6 Identify the nature of the triangle Isosceles triangle Equilateral triangle O Right triangle Scalene triangle

he what you w ciple Part II 19 Points 1 A e radius of a circle is 5 mm then find the area of the Posttest O 5 square mm O 10 square mm O 15 square mm O 25 square mm Complete

Online Soap20 Tell me what you want to 10 1 Points 1 ormula to find the volume of a cone is O 4 3 r h cubic units O h cubic units 3 r h cubic units O 3 r cubic units

000 Question 2 Points 3 Find the perimeter of the parallelogram whose vertices are represented by the coordinates A 7 7 B 13 7 C 12 6 and D 6 6 O2 units O 2 2 units O 12 2 2 units O 12 units

500 000 Question 6 Points 2 The coordinates of the polygon are A 0 0 B 0 6 C 6 6 and D 6 0 Find the area of the polygon O 36 square units O 12 square units O 30 square units O 16 square units Complete Later Complete

00 000 Question 3 Points 1 If A x y and B x2 y are the two points on a horizontal line then the distance between the two points is O X2 X 1 O x2 x11 O Iy2 yil Oly y l

ivities tion 8 5 What is the volume of the cone that has the same ba the cylinder as shown below 1 Tell me what you want t n Points 3 esson Posttest 8 in h 14 Volume and ace Area of Pyramids Sphere lume and isms 21 in O 360 in 400 in O 352 in

Question 1 Find the distance between the points 4 3 and 3 4 O 2 7 O 7 O 14 Points 1 O 7 2

vie Online Soap2day Tell me what you want to do a on 7 Points 2 e height of the pyramid is 15 meters the length of the base meters and the width of the base is 4 meters Find the volume of the rectangle based pyramid O 160 m O 190 m O 200 m 220 m Complete Later Comple

Points 2 3 Cavaliers Part II 1021 1 Ims graderesults com Tell me what you want to do Q dimensions of the cylindrical tank are given in the f Calculate the volume of the cylindrical tank Use 3 14 21 m 1838 84 m 79 56 m

Activities estion 5 d Ims graderesults Tell me what you want to do Q Points 2 200 Find the area of the circle from the given figure Use 3 13 Cavaliers Ciple Part II 13 1 Lesson and esson Posttest njds 4 cm 50 24 cm 112 10 cm m

Unit 4 Geometric Measurement and Dimension esson Posttest Lesson 13 Cavaliers Principle Part II 13 1 Lesson me and ramids US ane Area and heter on Coordinate 00 00 Question 3 Identify the correct formula to calculate the volume of a triangu based pyramid Complete Later ities Points 1 Area of triangular base x radius 3 Height of the triangle x Height of the pyramid 3 Sides of base triangle x Height of the pyramid 3 Area of triangular base x Height of the pyramid 3 Comple vie Online Soap2day Tell me what you want to do Q Ims graderesults com Grade

Question 2 1 point Look at ZUVZ and WVZ in the image below nsaved U Which of the following is the best description for this pair of angles complementary acute straight supplementary W Question 3 1 point

point Identify all points and line segments in the picture below B A Points A B C D Line segments AB AD AC DC BC Points A B C D Line segments AD AC DC BC Points A B C D Linebegments Points A B AB BC CD AD BD AC Line segments AB AC DC BC

Use the given information to prove that QR TR Q P R T Given QT bisects PS PQ ST Prove QR TR Statement S Send To Proof Send To Proof Send To Proof Reason

Find the mean median mode and standard deviation for the given frequency distribution Score x 1 Frequency f 2 pleas Fi 2 4 3 6 4 8 5 15 6 9 7 5 8 7 9 6

Use the given information to prove that ARUSATUS R U T Statement S Given RS ST SU bisects RST Prove ARUSATUS Reason Reason Send To Proof Send To Proof Send To Proof

The circle below has center D Suppose that mLBDC 128 Find the following B D A C a b m BAC m BC 0 O O

The circle below has center S Suppose that m QR 106 Find the following R Q P a m QPR O b m QSR

population of the Canada P t in millions since January 1 1900 can be approximated by P t 55 3 1 9 8e 0 025127 where t is the number of years since January 1 1900 Population millions Part 0 6 Part 1 of 6 60 50 40 30 20 10 0 0 Canadian Population by Year y P t 150 200 250 300 50 100 Year t 0 represents 1900 a Evaluate P 0 round to the nearest tenth of a million and interpret its meaning in the context of this problem

The populations of two countries are given for January 1 2000 and for January 1 2010 Part 0 3 Part 1 of 3 kt a Write a function of the form P t Poe to model each population P 1 in millions I years after January 1 2000 Round the value of k to five decimal places Country Population in 2000 millions 19 0 Australia Taiwan 22 9 Population in 2010 millions 22 6 23 7 P t Poet P t 1 P t X

Line a intersects two vertices Line b bisects each side it passes through Point P is the center of the rectangle a P Which transformation s must map the rectangle exactly onto itself Choose all that apply Clockwise rotation about P by 180 Counterclockwise rotation about P by 90 Reflection across line b Reflection across line a None of the above

Use the compass and ruler to construct the line parallel to the line through the point P ex X E S U

For each pair of triangles determine whether the Hypotenuse Leg HL Congruence Property can be used to prove that the triangles are congruent If necessary you may learn what the markings on a figure indicate Can the HL Congruence Property be used Can the HL Congruence Property be used a 47 28 m Yes Yes O No O No 28 m b d O Yes Yes O No JD X O No

Find the maximum value of s xy yz xz where x y z 24 The maximum valuo in

Do the figures below have rotational symmetry Point symmetry If a figure has rotational symmetry give the smallest angle of rotation needed for the figure to appear unmoved Rotational symmetry Yes No Angle Point symmetry Yes No O Rotational symmetry Yes No Angle Point symmetry Yes O No X

Use the given information to prove that ARST AUVT Given RST is a right angle ZUVTIS a right angle 1 2 3 4 5 6 U Statement ZRST is a right angle ZUVT is a right angle RST LUVT ST RTS ARST AUVT ST a VT Prove ARST AUFT Reason Given Given Reason 7 Given Vertical Angles Property Reason 2

A vector v has initial point 3 2 and terminal point 6 1 Write v in component form 0 0 X

4 Which of the following statements is TRUE about rectangle ABC A O OAB AD O DE CE O ACAB 6 E 14 Calculato B C

The angles of elevation to an airplane from two points A and B on level ground are 56 and 720 respectively The points A and 8 are 2 1 miles apart and the airplane is east of both points in the same vertical pla a Draw a diagram that represents the problem Show the known quantities on the diagram 56 72 56 AA A4 72 B A 2 1 A 56 B d Find the distance the plane 2 1 x c Find the altitude of the plane Round your answer to two decimal places x mi A 56 b Find the distance between the plane and point B Round your answer to two decimal places X mit 2 1 fore it is directly above point Round your answe 2 1 B 72 rimal places B

Match the equation with the sentence Susanne was hiking down from Mt Whitney She started at 14 500 ft above sea level and descended 375 ft every 30min Kirk was hiking up to Mt Whitney He started at 7545 ft above sea level and ascended to the top 14500 ft after about 8 5 hours of hiking Using an average pace choose the function that describes his elevation relative to the time in hours Jolie was hiking up to Mt Whitney She started at 7545 ft above sea level and ascended to the top 14500 ft after about 10 hours of hiking Using an average pace choose the function that describes her elevation relative to the time in hours Juan was hiking down from Mt Whitney He started at 14 500 ft above sea level and descended 1400 ft every hour Choose Choose E t 70 3 t 14500 E t 818 81 7545 E t 6961 7545 E t 75 6 t 14500 Choose Pedro loves to try new adventures His most recent adventure was jumping out of an airplane His special watch tells him his altitude He set a timer at the moment he opened

Find the measures of angles 1 through 5 in the figure shown m21 m22 m23 m24

The figure shows a 650 foot tower on the side of a hill that forms a 7 angle with the horizontal Find the length of each of the two guy wires that are anchored 70 feet uphill and downhill from the tower s base and extend to the top of the tower

Tutorial Exercise The Cartesian coordinates of a point are given a 7 7 1 Find polar coordinates r 8 of the point where r 0 and 0 0 2 ii Find polar coordinates r 8 of the point where r 0 and 0 0 2 b 5 5 3 i Find polar coordinates r e of the point where r 0 and 0 0 2 ii Find polar coordinates r e of the point where r 0 and 0 0 2