2D Geometry Questions and Answers

Find the work done by a force of 1 newton acting in the direction of 2i 2j k in moving an object 3 meters from the point 0 0 0 to the point 1 2 2

Lola pulls two marbles from a bag containing 4 red marbles 4 blue marbles and 12 yellow marbles without replacing them What is the probability that she pulled out a red marble first and a yellow marble second Express your answer in decimal form rounded to the nearest hundredth 0 09 0 13 0 25 0 32

The two way table shows the ages of the players on different soccer teams Team C 8 3 5 16 8 Years Old 9 Years Old 10 Years Old Total Team A 4 9 2 15 Team B 6 4 3 13 Team D 3 7 4 14 Total 21 23 14 58 Which statement is true 16 The probability that a randomly selected player on Team C is 10 years old is 5 The probability that a randomly selected player on Team A is 8 years old is 21 The probability that a randomly selected 8 year old player is on Team C is 16 21 The probability that a randomly selected 10 year old player is on Team B is 13 58

A month of the year is chosen at random What is the probability that the month starts with the letter J or the letter M 5 12 TE H 04

The two way table shows the estimated number of students who will enroll in three area high schools next year Eleventh Total Grade Mt Woodson High School Valley High School Riverside High School Total Tenth Grade 110 180 160 450 120 150 140 410 Twelfth Grade 80 120 200 400 310 450 500 1 260 In decimal form to the nearest tenth what is the probability that a randomly selected Riverside High School student is in twelfth grad 0 2 0 3 0 4 0 5

Six teammates are competing for first second and third place in a race How many possibilities are there for the top three positions O 20 O 30 O 120 240

S is a subset within a universal set U If S x y 4 9 which could describe U U keys on a keyboard U punctuation marks U letters U numbers

The diagram shows the universal set U parallelograms Set A represents parallelograms with four congruent sides while B represents parallelograms with four congruent angles U 8 12 18 A 8 B 6 How many of the parallelograms fall into the category AB 6 3

Set A I 11 Set B III On the Venn diagram which region s represent the intersection of Set A and Set B AnB 11 I II and III I and III I II III and IV

2 Find the area of the shaded region Round to the nearest tenth 6 ft O 6 ft 14 ft

nearest tenth circle I IN 12 ide the square below the area of the region Ro your swer to

Find the exact value of sin R in simplest radical form 20 P 4 6 R

2 Find the area of the window shown below Round your answer to the nearest tenth 36 in

5 5 ft 61 20 ft feet ocrative zeam Richland School L Find the height of the top of the goal post rounded to the nearest tenth a foot

8 Which sector below has the greatest area F 8 30 5 60 6 45 4

11 In which of the following diagrams is QR tangent to circle S Circle the best answer 11 In which of the following diagrams is QR tangent to circle S ircle the best answer R 10 8 Q 19 C D A 7 S 12 8 R B R 18 7 2 S T D 14 S 25 T 6 2 S 15 Q 9 8 R X

be 1 y 2 2 Determine the eccentricity type of conic and directrix a 6 1 2 cos 0 42 2 7 sin 0

3 If OB has a radius of 4 and mAC 36 what is the area of sector ABC B T A 88 O A B 885 57

6 What is the degree measure of TUR F 32 HD 238 G 122 248 U Q R 32 S

the length of the darkened arc H 7 5A zoom in Which shows the length of the darkened arc 7 1 5 H 7 5T G 3T D15T H 18 in 60

For Exercises 1 3 use the figure at the right Which is a minor arc in OL AB BDB ABD CBD Which is a major arc in OL FADB DBA Which is a semicircle in OL A ADB 8 BCD A HAD BC D B n C DAL

Complete the statement A two points is a line that intersects a circle in A Secant B Chord C D Tangent none of these Tell which word best describes the line or segment HG A B C D Chord Secant Radius Tangent D B

Circle O is shown TK TL and CX are tangent to the circle TO has a length of 10 inches 4 K C 6 in T X

Rectangle ABCD is shown 10 8 6 4 2 0 B A 2 4 C D 6 8 10 Rectangle EFGH is created by dilating rectangle ABCD by a scale factor of 2 centered at the origin What is the length in units of side FG

mine if the following equation has x axis symmetry y axis symmetry origin symmetry or none of these r x Axis Symmetry Oy Axis Symmetry Origin Summator

Step 2 of 2 Identify the shape of the more basic function found in step 1 Answer

Consider the following function 5 x 5 Step 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed Answer

Find the value of the angle 8 in degrees rounded to the nearest tenth of a degree needed A

Write the equation of the trigonometric graph 3 5 41 6 M 8 s

4 Sketch a graph for the four points A 3 1 B 3 10 C 10 24 and D 18 20 in H and CD Euclidean distance appear to be approximately the same Compare these distances to a AB b CD

An object is propelled upward at an angle 8 45 0 90 to the horizontal with an initial velocity of vo feet per second from the base of a plane that makes an angle of 45 with the horizontal If air resistance is ignored the distance R that it travels up the inclined plane is given by the formula below Complete parts a c v 2 32 R sin 28 cos 28 1 a Find the distance R that the object travels along the inclined plane if the initial velocity is 88 feet per second and 8 60 R feet Do not round until the final answer Then round to one decimal place as needed

centered at the origin and passing through the point 7 0

Which blood type is independent of gender OA OB 00 Blood Type AB A B O AB Gender Male Female TOTAL 105 93 99 84 160 140 15 18 TOTAL 379 335 198 183 300 33 714

Refer to your completed table for the question referring to childrens shows What percent of all children like the Simpsons Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided Do r include or spaces in your answer

A review of voter registration in a small rural town revealed the following Male Female TOTAL DEMOCRAT 600 600 1 200 REPUBLICAN 500 300 800 OTHER 122 100 222 2 222 TOTAL 1 222 1 000 Refer to the table above Determine the percent of all voters that did not vote Republican or Democrat but voted instead Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided De include or spaces in your answer

A survey of patients at a hospital classified the patients by gender and blood type as seen in the two way table Blood Type answer Male Female TOTAL 105 93 99 84 160 140 15 18 TOTAL 379 335 A B O Gender AB 198 183 300 33 714 Based onthe data what percent is the probability that a female patient will have type O blood Round your answer to the nearest tenth of a percent Type a numerical answer in the space provided Do not include or spaces in your

5 4 In Exercises 8 10 find the values of x and y 8 9 7 2y 4x 2 y 25 15 10 2y 10 x y

Draw the image of the triangle under a dilation with the center at the origin 0 0 and a scale factor of 2 To graph the triangle click on the polygon graphing tool Then single click on the first two vertices Then double click on the last vertex Be A 11 10 9 8 7 6 5 4 3 2 Clear All Draw Polygon 1 10 9 48 7 6 A w 2

have 720 ft of fencing to enclose a rectangular area One side will be protected by an existing fence What are the dimensions of the largest ar hat can be enclosed Select one O a O b O c O d 180 by 180 64 800 ft 180 by 360 32 400 ft

3 5 a Find the area of the triangle pictured above Round your answer to the nearest tenth

Use the figure to help you answer the question What is the sum of the interior angles of the regular polygon show Select one O a 135 O b 1 080 O c 1 440 O d 2 160

Find the value of x Round to the 1 40 X 900 ft

This is a 2 page document Use for questions 1 3 There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find each probability 1 P yellow then red 2 P blue then green 3 P both red Use for questions 4 7 The spinner below is spun twice Find each probability 4 P diamond then circle 5 P both stars 6 P shaded then heart 10 P at least 11 then N Use for questions 8 11 A bag contains 20 slips of paper individually numbered 1 20 If a slip of paper and a letter in the word PENNSYLVANIA is chosen at random find each probability 8 P less than 15 then a vowel 9 P multiple of 4 then V 7 P both unshaded 12 Bella guessed on the last three questions on her science test If each question has five answer choices what is the probability she got all three correct 11 P a prime number then a consonant 13 It has rained two out of the past nine days Based on this data what is the probability that it will not rain for the next four days

Find the measure of angle x if possible Notice that is an obtuse angle Round to the nearest tenth If not possible enter IMPOSSIBLE 51

44 What What is the perimeter of the right triangle shown at the right

2 What is JL A 4 5 B 6 75 C 8 75 D 12 5 8 K M

4 The orbit of Halley s comet is 36 18 AU long and 9 12 AU wide What is its eccentricity

2 In the circle above GJ 9 JF 6 HJ 15 and JE x 5 Determine the length H 15 J 6 G F

4 In the diagram below of circle O chord AB bisects chord CD at E If AE 3 and of CE in simplest radical form 8 E D

1 In the circle above SA 2x 12 QA 18 PA 20 and AR 27 Determine the length of P S 2x 12 20 A 27 18 Q