Geometry Questions

In circle T with the measure of arc SU 92 find m STU

On a separate sheet of paper find the measurement of the arcs listed below using the given circle 3 points each a EF b DB c CFE E D A 60 52 C B

Find the exact values below If applicable click on Undefined tan 10x 3 0 csc 315 0 3 16 Undefined X B JT

nd all points if any of horizontal and vertical tangency to the portion of the curve shown Enter your answers as a comma separated x cos 0 8 sin y sin 0 0 cos 0 2n 50 2 horizontal tangents vertical tangents 8 0 468 xx

Find sin 2x cos 2x and tan 2x if cosx sin 2x cos2x 0 0 C 1 5 and x terminates in quadrant IV 2 16 X

1 2x 3y 6 4x 6y 18

10 8 6 10 2 6 8x 10y 12 8 10 1916

2 10 8 6 2 6 3x 3y 12 8 10

3 4x 5y 10 10x 8y 4

6 Assume angle B is a right angle Label the point where the altitude intersects the hypotenuse D If segment AD is 3 less than 3 times the length of segment DC and the altitude of the triangle is 6 find the length of segment AD Show your work and round to the nearest tenth B

in a public park a triangular region of grass is bounded by walkways Sprinkder heads are placed at the vertices of the triangle as shown in the figure Each sprinkler head can be set to limit its angle of rotation For each sprinkler head how large should the angle of rotation be set so as to keep the walkways dry and to conserve water Round to the nearest degree 93 ft 118 116 8 A The angles of rotation are 2428 01 40 0 x

The connector rod from the piston to the crankshaft in a certain 1 0 L engine is 5 9 in The radus of the crank circle is 2 8 m If the angle made by the connector rod with the horizontal at the wrist pin P is 24 how far is the wrist pin from the center C of the crankshaft Round to the nearest tenth of an inch 2 8 in 59 m 24 The distance from the wrist pin to the center of the crankshaft is approximately in or 1 X

What is the most specific name for the figure A 0 0 B 3a 0 C 3a b D 0 b B A Rhombus D A B Rectangle C Square Darallelogram

In order for the parallelogram to be a square x 4x 17

Type either or in the blank X y x l v 45 54

and m P 72 x then the value of x determine I P Q

Luther made a time capsule to share all of his favorite stuff with the future Below is a picture of the time capsule 30 km 38 km How much stuff can Luther fit it the time capsule Use 3 14 for m Round your answer to the nearest hundredth if necessary Luther used Luther can fit km of stuff in the capsule How much material did Luther use to make the time capsule Use 3 14 for T Round your answer to the nearest hundredth if necessary km of material

4 What are the horizontal shift and vertical shift for the function below Use complete sentences and explain your reasoning y x 2 3

Show that the lines L1 x 2 t y 3 2t z 4 t L2 x 3 t y 4 2t z t are parallel and find rquation of plane they determine

What is the most specific name for the figure A 0 b B 8a b C 8a b D 0 b B A Rectangle B Rhombus C Square D A

Choose the best selection for the quadrilateral with vertices at the following points 1 0 5 0 1 3 5 4 Hint Start by graphing the points Distance Formula d x2 x y2 y A Parallelogram B Trapezoid C Rhombus D Rectangle

The figure below is a rhombus y 63 X r 21

Find the measure ZBCD in the following parallelogram A B X 2x mZBCD C 0 D

A SAS 3 ASA C HL D SAA A D congruent Overlapping Triangles

AB AD and BC DC A x B 35 829 C D x 1

The medians of AABC are AE BF and CD They meet at a single point G In other words G is the centroid of AABC Suppose GF 8 GD 4 and AE 33 Find the following lengths Note that the figure is not drawn to scale O F B E C CD AG BG 010 X

In the figure below points S T and U are the midpoints of the sides of APQR Suppose PR 70 PQ 74 and SU 12 Find the following lengths P S R QR QT 0 ST

If AABC ADEC ZABC 2x ZBCA 48 and ZCDE 74 A D B C x E

Use the given information to prove that ABEA ABDC A Statement Validate 4 6 2 E Given m 25 m 26 BE BD Prove ABEA ABDC Reason Reason Send To Proof Send To Proof Send To Proof

Decide if this statement is valid or invalid If you study you will improve your vocabulary If you improve your vocabulary you will raise your grades Therefore if you study you will raise your grades Valid

What is the most specific name for the figure A a 0 B 0 b C a 2b D 2a b B A Rhombus D B Trapezoid C Rectangle A Sa Soc D

What is the most specific name for the figure A a 0 B 2a a C a 2a D 0 a B A A Rhombus B Square C Rectangle D

What is the most specific name for the figure R P 0 0 Q 2b 2c R 2b 2d 2c S 2d 0 P S A Rectangle B Parallelogram C Rhombus D Square

What is the most specific name for the figure C B A Square A B Parallelogram C Rhombus D D Rectangle A a 0 B 3a 2a C 2a 3a D 0 a

What is the most specific name for the figure A a 0 B 3a b C 2a 2b D 0 b B A A Rectangle B Square C Rhombus D

A parabolically shaped bookshelf has a width of 10 feet 1 inches at the top and height 9 ft 5 in Their are 7 rows of shelves with the same height 10 ft 1 in 9 ft 5 in How tall is each shelf How long is the board needed for the bottom of the shelf that is the seventh row of shelves from the bottom feet inches

Click here for long description Which of the following graphs represent x OA OB O C D E A Click here for long description B M 4 7 V 5 4 4 3 2 J Click here for long description C D E Click here for long description Click here for long description

Many formulas are used in mathematic courses Please match the volume formula to its solid A r h 3 B r h C area of base x height D area of base height 3 4 E A B C D Choose Choose Cylinder Cone Pyramid Sphere

If a right circular cone must have a volume of 12 cubic meters then a function that gives the possible radii as a function of the height is The volume of a right circular cone is given by the formula V r h 36 O A r Th B h C r D r 12 Th 36 Th E r 36 36

Polygons or multi sided figures have many shapes Please match the name with its description A polygon in which one or more interior angle has a measure greater than 180 A polygon in which all interior angles have a measure less than 180 A polygon in which all interior angles have the same measure A polygon in which all sides have the same length Choose Choose Choose Choose

the area formula to its figure A h b b B s 2 C lw D E bh

own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle DF MN HK BC M B D H T 0 Choose 1 Choose Chord Tangent Secant K Arc C N

There are many types of quadrilaterals a polygon with 4 sides Please match the name to its best description Two pairs of opposite sides parallel All of the angles have a measure of 90 All of the sides have the same length All of the angles have the same measure and all of the sides have the same length One pair of opposite sides are parallel Choose Square Parallelogram Rectangle Trapezoid Rhombus Choose Choose Choose

nonument outside city hall has dimensions as shown in the figure below If one gallon of paint can cover 203 ft how many gallons of paint must be bought in er to paint the monument Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon 15 ft 10 ft 36 ft 15 ft gallons X

An aquarium is to be drained The aquarium is shaped like a rectangular prism with length 16 in width 12 in and height 10 in Suppose water is pumped out of the aquarium at a rate of 128 in per minute If the aquarium starts completely full how many minutes does it take to empty the aquarium 0 minutes X

actory makes aquariums Each aquarium is in the shape of a triangular prism as shown below If the factory made aquariums that require a total of 1152 ft water how many aquariums did the factory make 4 ft 2 ft 3 ft aquariums X

A company makes wax candles in the shape of a cylinder Each candle has a diameter of 8 inches and a height of 3 inches If the company used 5727 36 in of wax how many candles did it make Use 3 14 for and do not round your answer

The radius R of a sphere is 8 4 cm Calculate the sphere s volume V Use the value 3 14 for and round your answer to the nearest tenth Do not round any intermediate computations 121 V 3 cm X

A company makes paper labels for cans of soup As shown below each can is in the shape of a cylinder with a height of 8 cm and a radius of 3 cm The paper abel is wrapped around the can and covers only the side of the can not the top or bottom If the company makes 15 labels how many square centimeters of paper will be needed Use 3 14 for and do not round your answer 3 cm 8 cm 0cm X

Find the surface area of this triangular prism Be sure to include the correct unit in your answer 10 cm 24 cm 26 cm 20 cm 0 cm X cm cm