Geometry Questions

Use the graph of f x 2 to obtain the graph of g x 2x 3 2 OA AY E O C OD Q

A triangle has angle measurements of 54 36 and 90 What kind of triangle is it acute right obtuse

A triangle is defined by the three points A 9 5 B 3 4 C 5 6 Determine all three angles in the triangle in radians 0a 0b 0c B

The accompanying figure shows a surveyor collecting GIS data at point B on top of a building AB that is 50m high He observes two potential streetlight locations C and D The angle of elevation of B from D is 55 and the angle of elevation of B from C is 48 11 50m 0 52 42 DB 55 y 48 11 3 1 Calculate the length of BD and BC 3 2 Calculate the distance between the two streetlight locations C and D 3 3 Calculate the area of ABCD

Sketch the triangle with vertices O P 6 4 0 and Q 0 6 4 and compute its area using cross products Area

Find a vector that is parallel to the yz plane and perpendicular to the vector 3 4 4 12 11

Find the following expressions using the graph below of vectors u v and w To enter vectors use angular brackets and 1 u v 2 2u w 3 3v6w 3 2 W H

1 B KX E DEF ACB geninin y kseklik ayaklar n n olu turdu u gensel b lgedir FD 12 cm ED 8 cm FE 7 cm D C Yukar daki verilere g re KE x ka cm dir A 1 4 B 2 C 2 4 D 2 8 E 3

The building cost is 110 per square foot and the district s budget for building the entire school is 48 034 494 Each wing is estimated to cost 12 008 624 Complete the table to determine the area of the high school wing and the cost to build it for different values of x How large can x be for the wing to still fit within the guidelines for high schools of 349 00C square feet and be within the district s budget Value for x 0 5 10 Length of the wing Width of the wing Total area of the wing Cost to build Within Budget

2 3 4 5 6 7 8 9 The diagonal dashed line represents a new line of reflection Position the red tetronimo such that its reflection about this line of reflection fits the gap shown Enter as x something y something Reflect

A straw is placed inside a rectangular box that is 9 inches by 7 inches by 6 inches as shown If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner how long is the straw Leave your answer in simplest radical form 6 in 9 in 7 in

Express cos R as a fraction in simplest terms T 7 S 12 95 R

A B a 140 C H E AC FE BD ve FH dik durumlu i nlar m EFH 140 Yukar daki verilere g re m DBC a ka derecedir A 100 B 120 C 130 D 140 E 150 FEN B L MLER YAYINLARI A yo A Y

Prove the identity by manipulating the left hand side To get correct answer you must type cos2 x as cos as cos x sin x y sin x y 2 cos x sin y 2 cos x sin y CONNE 2 cos x sin y 2 cos x sin y 2 cos x sin y

Equations of lines a 4 points Find the equation of the line which passes through the points 3 7 and 5 2 b 3 points Find the equation of the line which passes through 3 4 and is perpendicular

Find the equation of the hyperbola with the following properties Express your answer in standard form Vertices at 7 7 and 3 7 Asymptotes of y 7 1 x 5

1 Use the draw tool to show one way to find the area of the shaded region All angles are right angles Scribble X Clear Undo Redo

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