Geometry Questions

21 Consider the square at the right RSTV It has four right angles and four sides of the same length How are sides RS and ST related How are sides RS and VT related V 22 Square RSTV has diagonals RT and SV not shown If the diagonals are drawn how will their lengths compare Exercises 21 Do the diagonals of a square appear to be perpendicula R

The polar coordinates of a point are given Find the rectangular coordinates of this point 3 3 2 What are the rectangular coordinates of this point Type an ordered pair Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Polar coordinates of a point are given Find the rectangular coordinates of the point 7 90 The rectangular coordinates of the point are Type an ordered pair Simplify your answer including any radicals Use integers or fractions for any numbers in the expres

The radius of a wheel rolling on the ground is 80 centimeters If the wheel rotates through an angle of 45 how many centimeters does it move Express your answer in terms of and then round to two decimal places A The distance that the wheel moves is centimeters Type an exact answer using as needed Use integers or fractions for any numbers in the expression

5 Suppose AB and CD have the same length Which state ments are expressed correctly a AB CD c AB CD b AB d AB CD CD

11 Which symbols correctly name the angle shown LABC LACB LCBA B

7 Name all the angles in the figure C

In Exercises 55 and 56 P is a true statement while Q and R are false statements Classify each of the following statements as true or false 55 a P and Q or R b P or Q and R

In Exercises 33 to 36 use intuition to state a conclusion 133 You are told that the opposite angles formed when two lines cross are vertical angles In the figure angles 1 and 2 are vertical angles Conclusion A 1 M 2 B Exercises 33 34 34 In the figure point M is called the midpoint of line segment AB Conclusion

14 If where b 0 and d 0 then a d b c

of each statement 11 If you go to the game then you will have a great time 12 If two chords of a circle have equal lengths then the arcs of the chords are congruent 13 If the diagonals of a parallelogram are perpendicular then the parallelogram is a rhombus 14 If 2 where b 0 and d 0 then a d b c 15 Corresponding angles are congruent if two parallel lines are cut by a transversal 16 Vertical angles are congruent when two lines intersect

In Exercises 19 to 24 classify each statement as true or false 19 If a number is divisible by 6 then it is divisible by 3

In Exercises 5 to 10 classify each statement as simple conditional a conjunction or a disjunction 5 If Alice plays the volleyball team will win I 6 Alice played and the team won 7 The first place trophy is beautiful 8 An integer is odd or it is even 9 Matthew is playing shortstop 10 You will be in trouble if you don t change your ways

For Exercises 13 to 16 consider the figure with the circle and lines AB CE and GF Classify the following claims as true or false 13 The circle and AB intersect in two points 14 CD nGF E 15 Two lines must intersect in one C D G E A F H B

For adults in the town of Bridgeport systolic blood pressure is normally distributed with a mean of 132 mmHg and a standard deviation of 10 mmHg What percentage of adults in the town have a systolic blood pressure less than 112 mmHg Use the 68 95 99 7 rule OO A 97 5 B 5 C 95 D 2 5

Which type of path straight curved circular or scattered is determined by a a roller coaster b a pencil c d darts thrown at a dartboard a carousel

17 Use the angle symbol 2 and three letters to name the angle formed by the two rays CD and CE rays not shown

2 Is the set named empty finite or infinite a L points on a line b B baseballs used in a major league game c N negative numbers that are larger than 5

9 What relationship subset intersect disjoint or equivalent can be used to characterize the two sets shown in the Venn Diagram A a B B A b

21 If A 1 2 3 4 and B 2 4 6 8 find a N A b N B c N ANB d N AUB

7 Let A B and C lie on a straight line as shown near Exercise 8 Classify these claims as true or false a B lies between A and C b AB is a ray with endpoint B

At one college GPA s are normally distributed with a mean of 2 6 and a standard deviation of 0 5 What percentage o students at the college have a GPA between 2 1 and 3 1 Use the 68 95 99 7 rule A 99 7 B 84 C 95 D 68

9 Given A Find 1 2 3 4 B 2 4 6 8 and C a ANB b BUC c ANB N BUC 1 3 5 7 9

11 For the sets given in Exercise 9 is there a distributive rela tionship for union with respect to intersection That is does AU BNC AUB n AUC

Reduce the spanning set to a basis for R S 2 2 1 3 2 1 2 3 0 0 2 1

AB BC and BC CD AB 3x AB CD x 1 3 x 4 Statement 3x 1 2x 3 AB 11 BC 11 1 and CD 2x 3 AB 3 4 1

A Statement AB DE AC B D E Reason Substitution Property of Equality Simplify Division Property of Equality Given Multiplication Property of Equality Definition of Midpoint Definition of Congruent Segments Addition Property of Equality AB BC AC Subtraction Property of Equality Segment Addition Postulate Reflexive Property BC DE Transitive Property Distributive Property

E Part 1 of 2 18 BC 2 36 73 76 cm AC 2 40 B 56 16 cm a Find the lengths of BC AC DB DC ED EC cm DB A cm DC and E cm ED cm EC cm anc

The terminal side of angle 0 intersects the unit circle in the first quadrant at x 23 What are the exact values of sin 0 and cos 0 Provide your answer below

Answer Select the correct graph from options a to d Enter the intercepts as ordered pairs Separate multiple answers with commas Enable Zoom Pan 101 V 3 10 x intercepts 10 Enable Zoom Pan 701 V 35 35 f x x 3x 4 70 b x 10 10 Enable Zoom Pan 101 c V y intercept x 10 10 5 Enable Zoom Pan 101 y 5 10 Keybo d

The area of the triangle defined by the hyperbola s two focal points and the circle s NORTH point is NOTE b equals two Round your answer to the nearest whole number

points Graph the rational function f x Make sure you include all asymptotes on the graph a Find all x and y intercepts Write the answer in coordinate form x intercept s b Find all vertical asymptote s c Find all horizontal asymptote s Answer X y Answer x 3 x 5 by going through the following steps x 1 x 4 y intercept y 3 points d Plot at least two points on each side of the vertical asymptote s Graph the function Use dotted lines for all asymptotes 6 points 2 points 1 point

Use the dot product to find the magnitude of u u 121 22j u 26

9 113 A 18 Similar Triangles 22 C 45 12 113 D 4X

use the relationship given in the right triangle and the inverse sine cosine and tangent functions to write 0 as a function of x in three different ways It is necessary to rationalize the denominator 1 2 25 6 5

C E B elect one Check a BD RT b ZAEB ZQUR C CD ST Od ZCED ZSUT N D K G is the diameter of OM Which conclusion cannot be drawn from the diagram M L H Select one 8 R G a GH GL Oh IGGH S

e polygon circumscribes the circle What is the perimeter of the polygon 3 mm 7 mm wer heck polygon circumscribes the circle What is the perimeter of the polygon 7 in in 17 mm 4 in 3 in

If g x 4x2 16 were shifted 9 units to the right and 1 down what would the new equation be OA h x 4 x 17 9 OB h x 4 x 7 16 OC h x 4 x 9 17 D h x 4 x 9 17

In the diagram at the right the endpoints of the chord are the points where the line x 4 intersects the circle x y 49 What is the length of the chord The length of the chord is approximately Round to the nearest tenth as needed

Answer Check Determine whether a tangent line is shown in each diagram 9 4 5 3 10 6 5 6 12 10 3 3 6 Choose Choose Choose

Answer Check 70 The circle below represents Earth The radius of the Earth is about 6400 km Find the distance d that a person can see on a clear day from height h above Earth Round your answer to the nearest whole kilometer 20 km r 4 r

In OO mAB 60 and CA BD What is mCD mCD B

Find the value of x 8 4 1 0 X Do not round until the final answer Then round to the nearest tenth as needed

OA and OB are congruent CD is a chord of both circles If a radius is 13 ft and CD 10 ft how long is AB The length of AB is ft A B

Answer Check 40 0 Assume that lines that appear to be tangent are tangent O is the center of the circle What is the value of x that appear to be tangent are tangent O is the center of the circle What is the value of x 51

What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of the figure below 4 SO 1Q Select one 3 R A rhombus X OB rectangle OC parallelogram OD square X

4 x degrees 5 Explain the process you went through to find the measure BiUFont Family AAT

Find what x equals and the measures of angles a b and c 15 To find we need to compare the two angles that have x in them 3x 7 and 5 These two angles are 16 Set up an equation to solve for x Use button to input the equation Input your answer WITHOUT spaces

For Parts A D 1 Part A Angles 3 6 2 Part B Angles 2 5 3 Part C Angles 3 7 4 Part D Angles 4 5

82 a c d g 5 To find a we need to compare it to the given angle measure of 82 These two angles are 6 The measure of a degrees 7 To find b we need to compare it to the given angle measure of a These two angles are