Geometry Questions

a Write the equation of circle A Write the equation of circle C ich circle has a great 2 U 9 8 7 A 6 5 D 4B C 2 1 4 3 2 1 0 A 2

5 The center of a circle is 0 3 and the diameter of the circle is 8 a Write the equation of this circle

The vertices of quadrilateral ABCD are A 3 4 B 4 3 C 1 1 and D x y Which vertex at D would make ABCD a parallelogram 0 6 0 0 8 6 2 8 0

4 Given the center of a circle is 4 adius is 3 2 determine the equation a x 4 y 9 18 b x 4 y 9 3 2 c x 4 y 9 3 2 d x 4 y 9 18 and the

1 The circumference of circle E is 107 and the center is 3 4 a Determine the radius of the circle E b Write the equation of circle E 3th of

25 3 The equation of circle A is x 7 y What are the coordinates of the center and the radius a Center 7 0 r 25 b Center 7 0 r 5 c Center 7 0 r 5 d Center 7 0 r 25

Find the exact value of tan Q in simplest radical form V38 6 S R 2

3 Graph the following equation y 1 x 5

2 The diameter of a circle is 20 in measure of its area

1 The circumference of a circle is 500 m Determine the diameter

Calculate the rise and run to find the slope of each line 1 4 Slope Slope R 2 5 Slope Slope AP 2 3 6 Slope 3 2 Slope Ay 45

2 Solve the following a mZ1 c m2 3 e m2 5 b m 2 d m2 4 f m2 6 32 115 2

4 Solve a m2 6 b m2 7 c m 4 d m2 2 e m2 5 f m 8 131

O 6 Diameter of circle area of 226 98 sq in with an

7 Circumference of circle an area of 530 935q in with

4 A Pandom sample of 200 teenagers participated in a taste test Each teenager sampled four choices of fruit drink labeled A B C and D and then were asked to pick a favorite The table shows the results of this taste test C 30 30 60 Boys Girls Total B 45 25 70 C B 25 10 35 Based on the information given which of the given statements are true Select all that apply boys preferred D A The proportion of boys who preferred C is equal to the proportion of the girls who preferred C 20 120 10 35 D 70 of the participants preferred A E 40 of the participants were girls D 20 15 35 Total 120 80 200 participants who preferred B were girls

2 The two way frequency table below shows data on playing a musical instrument and playing sports for the students in Jorge s class Play a musical instrument Do not play a musical instrument Total Play sports Do not play sports 6 7 8 3 14 10 D Total 13 11 24 Which of the following statements about Jorge s class is true A The fewest students play both a sport and a musical instrument B Students who play musical instruments are more likely to play sports than to not play sports Students who do not play sports are more likely to play a musical instrument than students who do not play sports More students do not play sports than play sports E Students that play sports are cooler

A total of 160 students were surveyed from the countries of Australia Canada and the United Kingdom One of the questions asked students to report which hand they considered to be their most dominant Results are shown in the table Right Hand Dominant Left Hand Dominant Total Australia Canada 68 Total 46 United Kingdom 25 139 11 V 6 4 21 79 52 29 160 Select an option from each drop down menu to complete the sentence The country had the greatest percentage of its students report being right hand dominant with approximately

6 Alvaro is interested in the relationship between weather conditions and whether the downtown train runs on time For a year he records whether each day is sunny cloudy rainy or snowy as well as whether this train arrives on time or is delayed Here are his results Weather condition On time Sunny 167 Cloudy 115 Rainy 40 Snowy 8 Total 330 Delayed 3 5 15 12 35 Total 170 120 55 20 365 Which of the following statements is true A When the weather was rainy it was more likely for the train to be delayed than on time B The most delays came on snowy days C More than half of the delays occurred on rainy days D When the weather was snowy it was more likely for the train to be delayed than on time

In Exercises 5 9 you are asked to find all the specified roots of certain real or complex numbe Use exact values 5 Find all 8th roots of unity 6 Find all cubic roots of 27i 7 Find all quartic roots of 256

You spin the spinner twice 4 3 1 2 What is the probability of landing on a divisor of 42 and then landing on Simplify your answer and write it as a fraction or whole number

For a standard deck of playing cards find the probability to the nearest percent that a queen randomly selected from the deck is a diamond Do NOT include the percent symbol

sleep Do NOT include the percent symbol Question 2 To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the exam 2 pts

You have a standard deck of playing cards from which you randomly select a card Event D is getting a diamond and Event F is getting a face card jack queen or king What is the probability to the nearest percent that the diamond selected is a face card Do NOT include the percent symbol

A patrol car is parked 0 feet from a long warehouse see figure The revolving light on top of the car turns at a rate of 36 revolutions per minute How fast is the light beam moving in ft sec along the wall w beam makes angles of 0 45 0 60 and 0 85 with the line perpendicular from the light to the wall a 0 45 b 8 60 y ft ft sec ft sec c 85 Round your answer to two decimal places

Suppose that sin 21 Find the exact value of sin 1 if the angle lies in the same quadrant as 112 9x and the angle 21 lies in the same quadrant as

Given the diagram of the spinner describe how to change each sector of the spinner so that each of the outcomes A B C or D is equally likely A B C

Bonus Use the figure below to find the measures of the angles 1 2 7 3 4 5 6 7 8 9 54 1 118 96 2 4 5 28 79 24 8 9

5 4 6 Statements 1 2 22 Given FJGH is a rectangle Prove FH JG Use the bank below FGH and JHG are right angles 3 SALA FG JH SAS Reasons 1 2 FLUENIT 3 All right angles are congruent 4 5 6 F they are even Side Reflexive Property K 8 H

Given a segment with endpoints 10 3 and B 5 3 Find the coordinates of point CpM AC 2 between A and B so that the ratio CB 3 A 1 3 B 4 3 9 0 3 5 3

A guy wire for a radio antenna is anchored to the ground 21 feet from its base and forms a 70 angle with the ground How long is the guy wire A B C D 7 2 feet 22 3 feet 57 8 feet 61 4 feet

A tree casts a shadow that is 22 feet long at the same time a 4 foot fence post casts a shadow that is 3 5 feet long Use similar triangles to find the length of the tree A B C D 15 7 feet 19 3 feet 25 1 feet 63 6 feet

What is the value of 0 in the diagram below A B C D 32 2 40 2 49 8 57 8 13 11 8

If the cos 60 1 2 A B 2 3 2 2 3 C D 2 find the sin 30

What similarity criterion can be used to prove AABC AAED A D B AA acc D Ten ST

ve for pe2 monoH noitatibo a era lot to pinW 1 H A 3 B 4 C 9 L

Find the equation of the parabola described below Find the two points that define the latus rectum and graph the equation focus at 0 2 vertex at 0 0

A card is drawn from a deck of playing cards What is the probability of drawing a heart or the King of Spades

Drawing a diamond from a deck of cards drawing an 8 from a deck of cards O Overlapping Mutually Exclusive

A card is chosen from a standard deck of 52 cards What is the probability that the card chosen is a spade or a seven

A magazine contains fourteen pages You open to a random page What is the probability that the page number is three or seven

A six sided die is rolled What is the probability that the number rolled will be an even number or a 6

Finding Slope From a Graph Find the slope of each line 1 7 3 5 Ay A 0 0 B 2 1 A B 2 KU AT Vertical line A B m undefined

A bag contains 2 yellow balls 3 green balls 5 red balls and 6 black balls What is the probability of drawing a yellow or red ball if only one ball is drawn

Drawing a face card from a deck of cards drawing a 5 from a deck of cards O Overlapping O Mutually Exclusive

A basket contains three apples three peaches and four pears You randomly select a piece of fruit What is the probability that the fruit you choose is an apple or a peach

Rolling an odd number on a die rolling a 2 on a die O Overlapping Mutually Exclusive

Solve for x Assume that lines which appear to be diameters are actual diameters 16x 4 70 For your answer only put the number Do not type x R 42 Question 39 1 point Find the missing angle measure in the circle For lines that look like diameters can be assumed as the diameter for the circle 96

Vertices at 0 8 and 0 8 asymptote the line y 2x An equation of the hyperbola is 0 0 1 Use integers or fractions for any numbers in the equation Which of the following is the correct graph O A 13 13 OB 13 14 13 43 13 Q O C 13 13 13 13 OD Ay 13 H 13 13

Find the standard equation of the parabola whose vertex is 6 6 and whose directrix is y 4 Also find the focal diameter of each parabola The standard equation of the parabola is Simplify your answer Use integers or fractions for any numbers in the expression The focal diameter of the parabola is Simplify your answer XI