2D Geometry Questions and Answers

Identify the missing relationship that would prove AABD ACDB using ASA Congruence Theorem A B O A AB CD OB AB DC O C AD CB O D A C D C

Given ATEA and ACUP are isosceles T E OB 1361 O c 44 O D 10 6x 16 A C U What ZP could be used to prove ATEA ACUP O A 68 4x 4 P

Which statement can you not conclude from the diagram O A AQPT APTR O B O C AQPS ARSP APQR ASRQ O D APTR ARQS R S

The following two shapes are congruent Based on the information given what is the measure of angle ZTUV P 78 72 120 Show your work here Q R U T

Prove Triangle XYZ is equilateral B AK Z Y C Given Angle CBY Angle YBX Angle BAX Angle XAB Angle BCY Angle YCZ Angle XBA Angle CAZ Angle ZCA

4 Given U is the midpoint of EL and JI L E List 3 parts ALUI A by

Find the missing angle measures Pentagon P 10x 3 8x 19 Q T 5x 2 7x 11 R S 13x 31 7 8 9 1 point Find m S Type your answer 1 point Find m R Type your answer 1 point

If the measure of one of the exterior angles is 72 How many sides does the figure have Type your answer 2 1 point If the measure of one of the exterior angles is 12 How many sides does the figure have

Two interior angles of a triangle are 88 and 47 Please write in the 3 exterior angles measures type your answer type your answer type your answer

Find the measure of a single exterior angle of the regular polygon shown below Tyne your answer

An octagon and a hexagon meet a represented by the shape below What is the measure of th missing angle x

Match the name of the shape with the number of sides it has Triangle Hexagon Decagon Heptagon Quadrilateral Dodecagon Pentagon Octogon 8 9 7 3 10 4 6 12 5

Biology The number of deer on an island varies over time because of the amount of available food on the island If the number of deer is determined by 200 sin 300 wherer is in years then what are the highest and lowest numbers of deer on the island and how long is the cycle Highest Lowest

What is the measurement of one exterior angle of a regular decagon Typo your answor

Given S 1 8 and T 7 9 S 8 3 2 9 8 7 6 5 4 3 2 19 1 2 3 4 5 6 7 8 9 Tyne yo 2 3 5 6 8 9 What is the length of ST Round your answer to the nearest ten wer

1 point Which figure appears to have exactly two lines of symmetry 4 32 4 3 21 5 4 3 B y 2 y 5 4 3 2 1 210 1 2 3 4 y O 4 5 1 2 3 4 1x

The coordinate values of the vertices of AKLM are integers y 3 2 5 4 3 2 1 0 1 2 3 4 K L M 1 2 3 4 5 x Which set of coordinate pairs could represent the vertices of a triangle congruent to AKLM 0 0 5 0 0 4 1 1 4 5 1 5 1 1 1 4 2 1 0 0 3 4 0 5

6 3 1 6 16 10 12 Oy 3x 3 O 684 Off 16 LOFT UT or 78 9

Find the slope of the line 10 110 m 10 10 x Enter your answer as a reduced fraction like 5 3 not 10 6 or as a whole number like 4 or 2 Type C necessary Note the denominator should always be positive in your final answer

6 Given ZDMB ZFMC ZBDM ZCFM M is the midpoint of DF N M 7 Given WZ bisects ZXZY and ZXWY X F W List 3 parts AWZX A List 3 parts ABDM A BY by

Determine whether C C both or neither can be placed in the blank to make the statement tru 2 4 6 8 0 1 2 3 4 5 6 7 8 a b a b c d e d e a c b

If a ruck has tires with a diameter of 26 inches Round to nearest hundredth How far does the truck travel every time a tire turns exactly once inches This the same as the 5280 feet How many times will the tire turn after the truck travels 1 mile 1 mile rotations of a tire circle The truck has traveled 4072 tire rotations How many miles is this miles The average recommendation for the life of a tire is 30 000 miles How many rotations is this rotations

x a Identify the vertex of f x The coordinates should be reduced fractions b Write f a in vertex form f x c Does f a open up or down Oup Odown 152 4 d Is f x wide narrow or normal wide narrow normal e Sketch a rough graph of the function Do this on paper this part is not graded f Identify the domain of f x g Identify the range of f x

M Homepage Northland 28 DETAILS Select 9 Match the trigonometric function with one of the graphs I VI f x sec 2x I M Homepage Northland BIN 0 b X M Homepage Northla II 1 t 4 TT TH FA 377 4

For this assignment imagine that you are in charge of student activities at a college The college president is worried that some students are lonely You investigate and learn from sociology research that the mean number of close friends for American college students is 4 15 friends You d like to know if your students have fewer close friends than other American college students A random sample of 122 of your students completes a survey that asks about how many close friends they have Descriptive Statistics Valid Missing Median Mean Std Deviation Minimum Maximum close friends 122 0 4 000 3 910 1 466 0 000 7 000 Do the students in your sample seem to have fewer close friends than the population State your null and alternative hypotheses in plain language To test your alternative hypothesis will you be using a one tailed or a two tailed test

6 Health agencies collect data on the spread of diseases Having this data allows them to better combat the spread of disease The table shows the incidence of tuberculosis over a period of eight years World Incidence of Tuberculosis Year 2005 2006 2007 2008 2009 2010 2011 2012 Number per 100 000 people 142 139 136 133 130 127 124 What type of function BEST models this data A Linear B Quadratic C Exponential D Logarithmic

3 Solve the triangle for all missing sides rounded to the nearest tenth and angles rounded to the nearest degree 5 pts 13

4 The angle of elevation of the top of a flagpole from a point on the ground 30 meters from the base of the flagpole is 18 degrees What is the height of the flagpole to the nearest meter 4 pts

2 Find the measure of angle G Round your answer to the nearest degree 2 pts 24 18 30

The legs of a right triangle measure 14 and 25 To the nearest tenth of a degree what is the measure of the angle opposite the shortest side 29 2 34 1 O 55 9 60 8

What is tan 25 to the nearest hundredth O 0 91 O 0 47 O 0 42 O 0 25 O None of the other answers are correct

2a x 4a 8 2b y 4b 8 In the equation above x and y are constants If x is y minus 1 which of the following is true 4 A a is b minus B a is b minus C a is b minus D a is b plus 1 1 2 1 4 1 8

31 Enrollment per Course at Riverview College Spring Semester of 2001 Course Sociology Psychology Economics Calculus Biology Accounting Number of Students Enrolled 98 37 85 45 42 64 Course U S History Anthropology Marketing Political Science Linguistics Chemistry Number of Students Enrolled 27 33 68 79 16 52 The above table lists the number of students enrolled in 12 different courses at Riverview College during its spring semester of 2001 According to the table what is the mean class size of these selected courses at Riverview College in the spring semester of 2001 Round your answer to the nearest tenth Jasmi score first 5 mear recei aver 34 If a t

29 In order to plan for his family s future Michael has decided to invest some of his money into a mutual fund that starting from the present his broker estimates will increase by 15 percent every 4 years If Michael invests 20 000 into the mutual fund which of the following expressions represents his broker s estimate of his mutual fund s worth t years from now 4 A 20 000 1 15 B 20 000 0 15 C 20 000 1 15 4t D 20 000 0 15

information In telecommunication networks the transmission time is the amount of time required for a message to be successfully transmitted from beginning to end If a message is transmitted at a rate of r bytes per second with a transmission time of T seconds then the size of the message in b bytes can be found by the formula b rT The CEO of Relay Communications estimates that the average global transmission time of a message is 2 5 seconds and that the average transmission rate is 1 000 bytes per second The CEO uses the above formula to estimate that the average global message size at his company is 2 500 bytes 37 The CEO of Relay Communications decides to study transmission times in a rural geographical region that his company serves In this region the CEO estimates that the average transmission rate rises to 75 000 bytes per minute and that the average transmission time is 1 6 seconds The average message size in this region is what percent less than the average global message size Note Ignore the percent symbol when entering your answer For example if the answer is 24 1 enter 24 1

4z 3z 7 3 z 5z 2 If the expression above is rewritten in the form az bz c where a b and c are constants what is the value of b

In the triangle shown above sin c cos d If c 6m 9 and d 8m 6 what is the value of m A 5 4 B 7 5 C 10 5 D 13 5

19 Number of Colonies 500 400 300 10 20 Number of Bacteria Colonies versus Temperature 30 50 40 Temperature C 60 70 Sixteen samples of bacteria were each incubated for 24 hours The scatterplot above shows the number of colonies present at the end of the incubation period and the temperature of the incubator The line of best fit for the data is also shown For the sample incubated at 40 C the actual number of colonies was about how many more than the number predicted by the line of best fit A 0 B 10 C 20 D 40

Of the following four geographically distinct communities which community would exhibit exponential growth of the population A Each successive year the community increases by 5 of the original population B Each successive year the community increases by 4 of the original population and 300 new individuals are added to the community C Each successive year 300 new individuals are added to the community D Each successive year the community increases by 3 of the current population

In the xy plane line 1 passes through the origin and contains points 4 r and r 16 Which of th following could be the value of r A 12 B 8 C 4 D 0

C 3 3 D 4 y k x sy j x Graphs of the functions j and k are shown in the xy plane above For which of the following values of x does j x k x 0 A 1 B 2 X

Questions 17 and 18 ref information 17 C x 3x 75 R x 8x The cost of manufacturing a product and the revenue generated by that product are functions of the number of products manufactured and sold The functions above are the cost and revenue functions for a certain product The function C x gives the cost in dollars of manufacturing x products and the function R x gives the revenue in dollars generated when those x products are sold How many units of product must be manufactured and sold in order for the cost of manufacturing a product to equal the revenue generated by selling the product A 8 B 10 C 12 D 15 How will the cost of manufacturing change if 5 Editional units of product are manufactured The cost will decrease by 15 The cost will increase by 3 The cost will increase by 15

A secretarial business bills corporations 0 30 per minute to type reports Which of the following equations represents the total bill b in dollars for a corporation needing t hours of typing 60t 0 30 B b 0 30 60 t A b C b 60t 0 30 D b 0 30t 60

Each year the average number of legal cases per attorney at Gary s law firm can be modeled by the equation y 1 74x 15 3 where x represents the number of years that Gary s firm has been in operation since it opened in 2000 and y represents the average number of legal cases per attorney Which of the following best describes the meaning of the number 1 74 in the equation A The average number of cases per attorney in 2000 B The approximate increase in the average number of legal cases per attorney each year C The total number of legal cases that Gary s firm handled in 2000 D The approximate difference between the number of legal cases Gary s firm handled in 2000 and in 2005

6 W NX 2 3 4 5 6 g x 4 2 C g x 3x 10 D g x 4x 12 0 2 4 The table above shows some values of the linear function g Which of the following defines g A g x x 6 B g x 2x 8

B C If A NIN D 5 2 z 7 4 35 35 4 5 5 what is the value of z 2 MA

5 What is the sum of 6y 3y 7 and 5y 2y 3 A 11y5y 4 12 B 11 5 4 4 C 11 5y2 D 11 5y 4

Given that P B 0 4 and P A B 0 25 what must the P A and B 4 O 0 100 0 160 0 416 1 000

Altitude feet 2 000 1 000 Hot Air Balloon Ride 9 00AM 10 00AM 11 00AM 12 00PM 1 00PM 2 00PM The graph above shows the altitude of a hot air balloon over the course of a 5 hour flight During the flight the balloon floated at a constant altitude for 1 hour for the passengers to best view a historic landmark Based on the graph what time did the passengers in the hot air balloon begin viewing the historic landmark A 10 30 A M B 11 30 A M C 12 30 P M

is randomly draw from a shuffled deck of cards and NOT REPLACED A second card is drawn from the remaining shuffled cards What is the approximate probability that both cards are RED 49 50 J 21 5 W 2266 FERE