Geometry Questions

r C If this circle has a radius of 7 8 and mZc 139 calculate the length of the intercep arc Round answers to two decimal places Use the button on your calculator

The graph of y f x is shown in blue Draw the graph of y f 3x shown in red by determining how a stretch or compression will transform the location of the indicated blue points Drag the movable red points to the desired coordinates Hint Drag the red dot to where you think it should be It will fall into the correct place if you are right You may click on a point to verify its coordinates Provide your answer below 74 10

an and Regression Quiz Describe the explained variation about a regression line in words and in symbols x 81 x y y y Question 4 of 16 This question 1 point s poss Choose the correct answer below OA The explained variation is the sum of the squares of the differences between the y values of each ordered pair and the mean of the y values of the ordered pairs OB The explained variation is the sum of the squares of the differences between the observed y values and the predicted y values OC The explained variation is the sum of the squares of the differences between the predicted y values and the mean of the y values of the ordered pairs The explained variation in symbols can be described by the expression 2 Yi Yi y x

T An 18 ft ladder is placed against a house The base of the ladder is 5 ft from the house Find the missing angles h F K degree Round the height to the nearest Complete the table Zy h 2x 2y Measure Chec X XXX

17 mi 60 B 25 mi 36 C A b Assuming red team knows the bearings and distances from checkpoint A and checkpoint C to checkpoint B they can calculate the distance b between checkpoint A and checkpoint C using the Law of Sines First they need to calculate the angle B in degrees using the Triangle Sum Theorem then they will set up ratios using angle B and distance b and one of the other two sides Finally the team will need to solve it algebraically Calculate the distance b and round it to one decimal place

K O Points 0 of 1 Use the value of the linear correlation coefficient to calculate the coefficient of determination What does this tell you about the explained variation of the data about the regression line About the unexplained variation r 0 747 Calculate the coefficient of determination Part 1 of 3 Round to three decimal places as needed

Given right triangles where a b are the legs and c is the hypotenuse Determine the type of right triangle in which you would use the following formula A c a b B c 2a C c a 6 D c a 2 E c a 6 Pythagorean theorem 30 60 90 Triangle theorem Obtuse Triangle relationship 45 45 90 Triangle theorem Choose Choose Choose Choose

In the figure below the altitude CD creates three right triangles That means each of the segments are special Please match each segment with what makes it special A None of these Hypotenuse of triangle ABC Geometric mean of BD and AD Geometric mean of AB and DB D C Choose Choose Choose Choose B

Once Triangle Similarity is established which of the following parts are also corresponding established A S C Angle ATS side AS Angle SAT T Choose Choose Choose B

in Using the figure match the vocabulary to the descriptions Reflection in line mi T Rotation about the origin T 4 Reflection in line n Choose A Identify the transformation that maps T onto T Identify the image of T Identify the preimage of polygon T Identify the transformation that maps T onto T Identify the transformation that maps T onto T Choose Choose Choose

Some answers may be used more than once a A b B a b a C b a D ad b A B d b d E 2 20 b C C D C d bc Choose Choose Ratio C None of the above Reciprocal property

Rotations are based on circle 360 start to finish Look at the figures and try to match them to the degrees they are rotated either clockwise or counterclockwise to map each one onto itself A D UNIT B E C NATIONWIDEHUSCAPS

roble If 6x what does 36 equal 0 3 0 9

a Kaitlin proved a certain statement about polynomial functions The statement is best described as a n Choose One b Donna is trying to prove a statement about all prime numbers that she believes is true No proof of the statement exists The statement is best described as a n Choose One c Alonzo wrote a proof that included a certain statement The statement is not a definition but is accepted as true without any proof The statement is best described as a n Choose One d In his textbook Ahmad found a proof of a certain statement about right triangles The statement is best described as a n Choose One e Deandre wrote a proof that included the following statement The statement formally describes what a right triangle is A right triangle is a triangle with one right angle The statement is best described as a n Choose One V

a sandwich made with either white or wheat bread and either roast beef or bologna a snack that is either chips popcorn or pretzels a drink that is either bottled water or juice If Gretchen randomly chooses one of the boxed lunches what is the probability that she will get a roast beef sandwich on wheat bread and popcorn in her box O 10 12 mi

Find the value of each variable Simplify your answers as much as possible If necessary you may learn what the markings on a figure indicate 0 y 0 X 6 8 08 X 8

X 9 8 7 6 2x y 6k 9 2AD1ST64321 10 10 8 7 0 6 6 1 4 4x 2y 4 2077797 999 7 3 4 2 2 2 1 0 X 234567891011

Problem 60 Let f x y 4 y to answer the following A Explain why the cross section for the surface z f x y produced by cutting it with planes parallel to x 0 are semicircles of radius 2 B Describe the cross sections of the surface in the planes y 0 y 2 and y 3 C Describe the surface z f x y

If the volume of the solid shown in the figure is 1720 cubic inches find the value of X X in Type an integer or a decimal x 5 3 4x 3 3 x 3

Given the following parametric equation eliminate the parameter to get an equation involving just x and y x 2 cost 1 y 5 sint O Be careful here Check your signs 1 x 1 y 4 25 for n t 2 1 x 2 y 5 1 z 1 1 2 None of these x 2 y 5 1 z 1 2 1 y 25 4 z 1 3 1 2 5

Given the following parametric equation x t 4t 4 y t 2 for t 1 choose the graph that has the most accurate and complete curve and includes th correct orientation given the limits on t values Be careful here Look closely at the points plotted before making your choice Double check that the orientation is correct Double check endpoints arrows

For the equation x xy y 5 0 answer the following questions a Rewrite the equation in a rotated x y system without an x y term Use the appropriate rotation formulas b Express the equation involving x and y in the standard form of a conic section c Use the rotated system to graph the equation a The equation in a rotated x y system is

MM wannn The sketch shows the graphs of the functions f and g The function f is defined by y acosk t b 4 2 For the function g determine a the value of m 4 3 y mcsc c x d b the period c the constant C d the constant d and then e write down the equation that defines g a Suppose we shift the graph of f vertically downwards by h units such that the maximum turning points vertices of the resulting graph lie one unit below the X avis What is 31 2

4 nap x 2 8 3x 2x 4

B 3X 20 2X 1 X 1 CHUPARANEN GRA STE

10 Given m 3 54 mAB x Find mAB 2 points D 3 X B A

9 Find the area of the quadrilateral ABCD if AD BH HC 16 cm AB HD DC 10 cm B 10 16 A 2 points 16 H 10 D 16 10

6 The ratio of the measure of the complement of an angle to the measure of its supplement is 5 14 Find the measure of the angle 2 points

11 Given AB OD in circle O Prove mBD MAQ Proof 1 AB OD Statements 2 41 42 and m 1 m 2 3 m 2 mBD 4 m21 1 mAQ 5 mBD mAQ 1 Given 2 3 4 5 3 points A Q Reasons 0 B D

2 Given PQ LMN 4122 Prove AMQP ANOP Proof Statements 1 PQI MN and 21 22 2 ZMQP ZNQP 3 PQ PQ 2 points 4 AMOPANOP 1 Given 2 3 4 M P e Reasons N

16 In AABC M and N are the midpoints of AB and BC respectively MN x 5 AC x 2x 5 Find x MN A 2 points C M N B

3 Given m ADC 168 m BDC 2x 4 m ADB 3 m BDC Find x and m BDC D 2 points B

14 Given Im and t is a transversal If m 1 x x 4 7 and m28 x 2 x 1 Find x and m 1 2 points 1 2 3 4 5 6 7 8 24 m

13 Find the exact area of the sector Radius of the circle r 10 cm and m AOB 120 A 10 0 2 points 120 B

8 Given mAB 112 mDC 34 Find m1 and m 2 4 points B D E C 2

12 Given Rectangle ABCD is inscribed in the circle AD 8ft AB 6 ft Find the exact area of the region between the circle and the rectangle 4 points B 8ft 6ft D C

4 Given m BCD 7 x 4 m A 2 2x 5 and m B 2 3x 1 Find x m BCD 2 points A B C

7 Given AABC with angles as shown AD 4 Find AB C 30 th A 4 D 2 points B

Please show your work No credit will be given for answers without supporting work 1 Determine whether the statement is true or false 1 point each a The consecutive angles of a parallelogram are supplementary b An inscribed angle can never be an obtuse angle c The bisector of the vertex angle of an isosceles triangle bisects the base d The complement of an angle is an obtuse angle

1 Triangle PQR is drawn with QR 4 75cm PR 7 25cm and ZPQR is O 19 1 or 160 9 O 49 7 O 19 1 49 7 or 130 3

Find the coefficient of the ab7 term in the expansion of a b In the expansion a b a Enter ONLY the coefficient a b7 b 3

In the figure below points A E F and C lie in plane X Points B and D do not lie in plane X For each part below fill in the blanks to write a true statement A E F B D X a B and are distinct points that are collinear b FC and c E and are distinct points that are coplanar d Another name for plane X is plane are distinct lines that intersect St

he solid below is made from 1 foot cubes Find the total surface area of the solid Be sure to include the correct unit in your answer 1 foot 0 ft X ft ft

Use the figure to evaluate ab a b and a b 00 BULLO

Consider selecting two elements a and b from the set A a b c d e List all possible subsets of A using both elements Remember to use roster notation ie a b c d e List all possible arrangements of these two elements Enter your answers as a comma separated list Enclose each arrangement in parentheses

Find the amplitude period and phase shift of the function defined by each of the following equations and sketch the graph of one complete period T 3 1 y 2 cos x 3 2 y sin 3x 1 10 10

The proper angle for a ladder is about 75 from the ground Suppose you have a 20 foot ladder How far from the house should you place the base of the ladder 1

Solve the equations on the interval 0 2 2 sin x 1 0

Use the power reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1 17 sin x 4 17 sin x www

omplete the table below Note that t is an angle measured in radians sint cos t n sin 2 t cos t 1 Smallest positive value of t 4 2 V 2 Sine