Geometry Questions

Find the reference angle for 320 0 010 X B JU

The figure below is a right triangle with side lengths t u and v Suppose that m LT does not equal m ZU U V Complete the following 21 sin T Part 1 In A TUV LT and ZU are Choose one Part 2 Use t u and v to fill in the blanks Make sure to use the appropriate upper case or lower case letters sin U 8 T cos U cos T Part 3 Select all of the true statements sin T cos U cos T cos U sin T sin U cos T sin U None of the above is true Part 4 Fill in the blank sin 46 cos

Given the figure below find the values of x and z X Z 13x 5 7x 31 X 20 S

2 8 37 2 40 3 21 4 21 5 21 0 333333 7

a Line k is not parallel to AB Line k does not intersect AB AB is reflected over line k to produce A B Part A Alex says The distance from point A to A equals the distance from point B to B Is Alex s statement correct or incorrect Justify or explain your answer Enter your answer and your justification or explanation in the box provided BiU X x C

Suppose f z y tan z y and u is the unit vector in the direction of 3 2 Then a f z y b f 0 5 9 sec x 2vtanx y 2vtanx y c fu 0 5 9 Du f 0 5 9 0 0311 A

or the following exercise evaluate the expression writing the result as a simplified complex number 5 4i 5 3i 3 2i

For the following exercise perform the indicated operations and express the result as a simplified complex number 5 2i 4 i

Find the slope of a line parallel to each given line 7x 2y 4 x y 2 3x 5y 0 x y 4

Find the slope of a line perpendicular to each given line y 6x 1 y x 1 3 y x 2 4

Find the slope of a line parallel to each given line y 2x 3 y y 3x 4 5

5 1 0 1 point E 2 A C 30 10 Solve for y Oy 6 67 Oy 5 y 9 y 6 y B

1 point 25 10 A 2 5 C Segments AB and BC are both tangent to the circle shown above What is the length of BC Note photo not necessarily to scale 5 5 B

W 3 Z The measure of arc XY is 85 degrees The measure of arc WZ is 25 degrees What is the measure of angle 3 60 degrees 12 5 degrees 30 degrees 42 5 degrees

2 1 point R 102 EF m is T What is the measure of arc RT 156 degrees 102 degrees 88 degrees 204 degrees

6 1 point B C F E S D A If chord AB is congruent to chord CD then what must be true about EF and EG They are different lengths They have no relationship They are parallel They are the same length

Show that the equation represents a circle by rewriting it in standard form 3x 3y2 6x y 0 Find the center and radius of the circle x y r

8 If BD BC BD 5x 26 BC 2x 1 and AC 43 find AB A 43 D 5x 26 24 1 B C

7 5 9 13 2 8 1 16 15 18 Write the slope intercept form of the equation of each line I 10 9

15 Find x if m22 4 7x and m2HFG 11x 10 16 Find x if m2l 4x 3 am m22 3x 7

13 Find x if mz1 6x 1 and m RTS 10x 4 S R

Each segment below is being bisected Find the requested measurements 17 Find FE and DE 29 5 TI F E 18 Find UT and ST S 3 6 U

43 Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph 1 0 0 2 0 1 3 1 5 4 3 2 5 4 3 2 1 ST 543 2 1 2 3 4 5 1 N 2 3 5 X

46 Which coordinate point is in the solution set for the system of inequalities shown in the accompanying graph 1 3 1 2 2 2 3 1 1 4 0 1 2 1 3 2 1 y 2 X

Find the area of this shape

with a circles are congruent are congruent Radii

10 Dikd rtgen eklindeki bir ka t zerine krokisi izilmi olan bir nehrin izledi i yolun yapt a lar ekildeki gibidir Nehrin izledi i yolun kar l kl kenarlan pa ralel oldu una g re m BCD a ka derecedir SO C168 RA 70 PB N 35 D 77 100 M D K F 150 a 28 E you F 80

In the right triangle find the length of the side not given Give an exact answer and an approximation to three decimal places 4 a 6 c 10 a The exact value of b is Type an exact answer using radicals as needed www

Let G be a connected graph with k 0 vertices of odd degree i Show that the minimum number of trails that together include every edge of G and that have no edges in common is k 2 ii How many continuous pen strokes are needed to draw the diagram in Fig 6 8 without repeating any line

Find the midpoint of each line segment 1 5 2 3 154 43 AY M x x yfy 2 2 M 1 S 2 M 62 2 1 20 M 3 1 2 3 4 2 2 4 AY AY Y

Find the midpoint of the line segment with the given endpoints 5 6 1 2 5 6 4 3 1 6 7 5 4 6 3 9 11 10 3 9 8 4 3 5 5 10 8 2 9 8

2 The diagram is a straightedge and compass construction Lines m and n are the perpendicular bisectors of the sides of triangle ABC Select all the true statements A E A Point E is closer to point A than it is to point C B Point L is closer to point B than it is to point A C Point D is closer to point B than it is to point C D Point J is closer to point A than it is to point B or point C E Point K is closer to point C than it is to point A or point B F Point L is closer to point C than it is to point A or point B OF

the figure below O is between Mand P and N is the midpoint of MO If NO 6 and NP 8 find MP

On a reality show contestants had to spin two wheels of fate Spinning the first wheel determined the remote location where contestants would reside for the duration of the season Spinning the second wheel determined which bonus survival tool they would be allowed to bring along with a few other necessary items A tent Matches A rope Desert Rainforest 3 7 9 4 4 3 What is the probability that a randomly selected participant spun the second wheel and landed on matches or a tent Simplify any fractions

61 66 Right triangle relationships Draw a right triangle to simplify the given expressions Assume x Q 62 cos sin x 3 61 cos sin x 63 sin cos x 2 64 sin cos e for 0 0 2 65 sin 2 cos x Hint Use sin 20 2 sin 0 cos 0 cos 0 sin 0 66 cos 2 sin x Hint Use cos 20

Determine the volume of a right trapezoidal cylinder whose bases are B 16 m and b 9 m height is h 3 m and length is 1 17 m b B 1 1

the scalar equation of the plane containing the following 3 points P 2 1 3 Q 1 1 1 R 1 2 3

1 12 points A particle traveling in 3D space has the following position r t t t 1 1 at time t Consider the vector 2 3 0 a At what time s t is the particle traveling in a direction parallel to b At what time s t is the particle traveling in a direction perpendicular to u

2 12 points i and u are vectors in 3D space satisyfing 5 6 7 15 a Find the angle between u and b If u and 7 lie in the plane x y z 0 find a vector that is either ux v or v x u

8 Name all pairs of congruent segments in KLMN Use the congruence symbol to write your answer 9 M 4 8 is the midpoint of DE D has coordinates 6 1 Find the coordinates of E KM KL NL M2 For Exercises 10 and 11 use a ruler to draw each figure Label the figure and mark the congruent parts 10 AB and CD with M as the midpoint of both AB and CD AB 6 4 cm and CD 4 0 cm A B and C are not collinear 12 Sketch six points A B C D E and F no three of which are collinear Name the lines defined by these points How many lines are there E 11 AB and CD C is the midpoint of AB with AC 1 5 cm D not on AB is the midpoint of AE with AD 2BC B 13 In the figure below B C H E is a set of four coplanar points Name two other sets of four coplanar points How many sets of four coplanar points are there F 8 cm H 8 cm Cube M

Your answer is incorrect In the figure below mz WXZ 113 and m2 2 is 7 more than mz 1 Find mz 1 W X 2 m 21 X

Quadratic Functions 1 Here are 4 equations of quadratic functions and 4 sketches of the graphs of quadratic functions A y x 6x 8 B y x 6 x 8 C y x 6 8 D y x 8xx 6 a a x 2 Match the equation to its graph and explain your decision Equation A matches Graph because Equation B matches Graph Equation C matches Graph Equation D matches Graph because because 3 because 4 b Write the co ordinates of the points P Q R 2 The graph of a quadratic function has a y intercept at 0 5 and a minimum at 3 4 Write the equation of its curve function S S

the figure below mz WXZ 113 and mz2 is 7 more than mz 1 Find mz 1 W X 2 Y mz1 0

3x 4 3 Find the area of the composite figure 2X x 1

Q3 Sharon is remodeling the floor her studio apartment and needs to know how many square total area is for this apartment The figure below shows the layout of the floor Polynomial lox 3x 4 2x x3 3x 4 x 1 3x 4 x 2x 5 4x 6 c If x 6 then what is the total square footage of the studio apartment 510 d If flooring will cost 35 per square foot then how much will she have to pay Q

2x 3 2 Find the area of the composite figure X 4x4 X 4

7 The endpoints of line segment AB are located at 5 2 and 3 10 What is the equation of the line that is perpendicular to AB and passes through the midpoint of AB A y 4 2 1 B y 4 x 1 C y 6 x 4 D y 2 2 3

Calculator A cosine function has a period of 5 a maximum value of 20 and a minimum value of 0 The function is not a reflection of its parent function over the x axis Which function could be the function described f x 10 cos 5x 10 O f x 10 cos 5x 10 f x 10 cos 2x 10 O O f x 10 cos x 10 1 2 3 4 5 Next

8 Get Fit Power House and Fitness Frenzy are competing gyms that are trying to recruit new members They all have new deals to attract customers Get Fit 35 one time registration fee and 5 for every time you visit Power House 40 one time registration fee and 4 for every time you visit Fitness Frenzy No sign up fee Pay 15 a month Consider the graphs that represent the cost of attending a gym for the first month if you visit times for each gym a Which gym s graph if any would represent a horizontal line Explain b Which gyms graphs if any would represent perpendicular lines Explain c Come up with a pricing scheme for a new gym Run Around the Clock so that the graph of monthly cost of attending the gym a times is parallel to that of Power House

5 Which of the following equations does NOT represent the line shown in the graph A 3x 5y 15 3 B y 3 x I Y 5 3 1 D y x 5 3 6 5 4 3 2 2 1 0 2 6 7 8 9 10