Geometry Questions

Find the exact value of tan Q in simplest radical form 38 6 S 2 R

After a big rain the area of the surface of the local reservoir was 576 acres ac Use the facts to find the area of the surface of the reservoir in square miles mi 2 mi X Conversion facts fo 1 acre ac 43 560 1 square mile mi 640 acre 1 hectare ha 2 5 acres Note that means is approximat For this problem treat

Find the exact value of tan J in simplest radical form J 4 I 7 33 H

following quadratic trinomial x 20x 100

O Factor the following quadratic trinor x 3x 18

below Show all steps for full credit no exceptions a 13 12 37

6 The area of a rectangle is x 7x 12 ft and the length is x 3 ft Determine the width

5 Simplify the following expressions 81 a 2

4 Simplify the following expression x 8

In circle M M N 2 and the length of NO T Find m N MO M N

Quadrilateral NATS has coordinates N 4 3 A 1 2 T 8 1 and S a b Which coordinate for S would make NATS a rhombus 4 3 3 4 4 3 3 4 Previous Page Next Page Page 5 of

What are the slope and y intercept of a line that is perpendicular to line y 3 and passing through point 4 20 Om and b 28 Om 5 4 and b 29 Om and b 25 5 Om 5 4 and b 32 Previous Page Next Page Page

Given A 2 2 B 6 5 C 4 0 D x y State the coordinates of D that would make ABCD a parallelogram 3 6 6 3 O 4 3 4 3 Previous Page Next Page

Question 11 1 point Which of the following is the most precise method of determine if 4 vertices on a coordinate plane is a square O Graph the points and look at the figure to see if it is a square Use the distance formula to check if 4 sides are congruent Use the slope formula to check if adjacent sides are perpendicular Check that its diagonals bisect each other are congruent and are perpendicular Previous Page Next Page Page 11 of 13

Question 10 1 point Which of the following is the most precise classification of the quadrilateral given points A 4 4 B 1 2 C 4 2 and D 7 2 O trapezoid none square Oparallogram Previous Page Next Page Page 10 of 13

Question 4 1 point Triangle RST has coordinates R 1 7 S 3 1 and T 9 2 Is this a right triangle Prove your answer why or why not No this is not a right triangle because none of the slopes are negative reciprocals of each other O Yes RS is perpendicular to ST because their slopes are negative reciprocals of each other Yes RT is perpendicular to ST because their slopes are negative reciprocals of each other RS is perpendicular to RT because their slopes are negative reciprocals Yes of each other

In circle U mZPOQ 130 and the length of PQ 37 Find the length of OP P 0 Q

b 2 sin 20 3 Value 6 8 sin 2x 11 12 05x x sin 2x 1 3 2 ZOTT Six 1 5T 2017 3 2015 2 www

Evaluate cos sin H Select Select 77 7 b Select

The coordinates of the vertices of ACAT are C 2 3 A 8 2 and T 4 5 Which type of triangle is ACAT acute right isosceles obtuse

Question 4 1 point What is the equation of the line that is perpendicular to line y 1 5x 1 and crosses point 2 4 y 5x 15 y 5x 22 y 5x 14 y 5x 23 Previous Page Next Page Page 4 of 13

Determine and state the area of Right Triangle PQR whose vertices have coordinates P 2 5 Q 3 5 and R 6 1 35 25 45 15 Previous Page Next Page Page 10 of 13

Quadrilateral GRAM has vertices G 2 3 R 7 10 A 9 4 and M 4 3 Prove that GRAM is a parallelogram Quadrilateral GRAM is a parallelogram because GR MA and RA MG O Quadrilateral GRAM is a parallelogram because RGM GMA and ZRAM ZGRA Quadrilateral GRAM is a parallelogram because GR RA and MA MG O Quadrilateral GRAM is a parallelogram because MGGR and RA MA

Rectangle JOKE has diagonal endpoints J 5 10 and K 0 2 and diagonal endpoints O 0 10 and E 5 2 What is the area of rectangle JOKE Previous Page Next Page Page 7 of 13 A

Calculate the perimeter of the above triangle 17 1 units 22 9 units 30 units 10 units

The coordinates of the vertices of parallelogram CDEH are C 5 5 D 2 5 E x y and H 8 1 What coordinates of E would make CDEH a paralellogram 2 2 2 2 1 1 3 2

Question 8 1 point Rectangle has LAST has diagonal vertices L 5 3 and S 1 6 and diagonal vertices A 1 3 and T 5 6 What is the perimeter of rectangle LAST Previous Page Next Page Page 8 of 13 AP

Quadrilateral GEOM has coordinates G 4 3 E 1 2 O 8 1 and M a b Which coordinate for M would make GEOM a rhombus 1 4 0 3 3 4 4 3

A square QRST has points Q 5 1 and R 3 8 What should the slope of the line RS 7 8 8 7 8 7 7 8 Previous Page Submit Quiz Next Page 0 of 13 questions saved Page 6 of 13

Question 3 1 point Which of the following is the most precise classification of the quadrilateral given points A 5 3 B 5 2 C 1 0 and D 1 5 parallelogram none rhombus trapezoid Previous Page Next ge Page 3 of 13

Below is the work from two of your peers Student A and St 2 EXTRA POINTS Determine the area of the shaded region You must show all work to gain extra credit A r STUDENT Plon A 20 7777 1 5 cm 386 97 cm2 122 5 cm 50 3 cm 102 4 cm Which peer 3 cm As A A4 5 25 cm A 2 T 3 4 cm 2 As 25m As 50 3 cm Av 1 1 167cm2 2 EXTRA POINTS Determine the area of the shaded region You must show all work 5 cm 386 97 cm 122 5 cm 50 3 cm 102 4 cm 3 cm gain extra credit ASAADED ABIG ASMALL r 8cm ABIG 7 8 201 062 ASMALL 5 78 539 ASKADEO 122 523cm STUDENT B do you agree with How would you have the other correct their work CM

Match the value of x below with one of the diagrams Use each diagram only once x 5 I 14 x 25 x 3 A 3x 12 D points 8 and D are points of tangency

Find the exact value of cos F in simplest radical form 95 D 5 70 E

26 40 PM Find the volume of the oblique rectangular prism below Round your answer to the nearest tenth if necessary 15 w

In the first week of Q4 we had a challenge problem on one of our exit tickets 2 EXTRA POINTS Determine the area of the shaded region You must show all work to gain extra credit 5 cm 386 97 cm 122 5 cm 50 3 cm 3 cm

Find the exact value of sin C in simplest radical form D 89 80 E 13

A bag contains eleven equally sized marbles which are numbered Two marbles are chosen at random and replaced after each selection What is the probability that the first marble chosen is shaded and the second marble chosen is labeled with an odd number 9 i O O 0

Find the exact value of tan G in simplest radical form 74 E G 4 58 F

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

A membership committee of three is formed from four eligible members Let the eligible members be represented by A B C and D The possible outcomes include S ABC ABD ACD BCD Which statements about the situation are true Select three options There are four ways to choose the committee There are three ways to form the committee if person D must be on it If seven members are eligible next year then there will be fewer combinations If persons B and C must be on the committee there are two ways to form the committee If persons A and C must be on the committee then there is only one way to form the committee

Information about a shipment of mirrors to a local store is shown Broken Total Small Medium Large Total 4 208 6 Not Broken 96 402 102 214 480 Of all of the medium mirrors that were shipped how many of them were broken 68 78 164

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

Dayshawn can choose two of his four t shirts to take on a weekend trip If the t shirts are labeled A B C and D which choice represents the sample space S for the event OS ABCD S ABCD DCBA S AB AC AD BC BD CD S AB BA AC CA AD DA BC CB BD DB CD DC 0000

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

A study found that 23 of the cars manufactured last year were SUVs 13 of the cars manufactured were white and 2 of the cars manufactured were white SUV To the nearest whole percent what is the probability that a car is an SUV given that it is white 9 15 21 57

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

1 Consider the circle inside the square below Find the area of the shaded region Round your nearest tenth 12

Five students Adriana Ben Chandra Diana and Ernesto would each like one of the four spots at the regional science fair Their names are placed in a hat and four names a chosen at random to decide who attends the fair What is the theoretical probability that Chandra will be chosen as one of the science fair participants 25 60 75 OOC