2D Geometry Questions and Answers

Read the problem below and answer the You have some books that you need to store for your friend The books are 8 inches in height 5 inches wide and 2 inches deep How many of these books could you pack into your closet which is 20 inches long 25 inches wide and 30 inches high What formula s would you need to use to solve this problem Write the information on the sketchpad to the right along with your solution to the problem

Find the measure of angle x in the figure below 60 60 50 110 70 to Jo 50

Which of the following possibilities will form a triangle Side 15 cm side 6 cm side 8 cm Side 15 cm side 6 cm side 9 cm Side 16 cm side 9 cm side 6 cm Side 16 cm side 9 cm side 8 cm

Find the measure of angle x in the figure below X 35 48 69 78 52 y59 63

Find the measure of angle x in the figure below 65 50 75 115 130 X 65

13 x 14x 40 2x 1 What is the sum of the solutions to the given equation A 16 B 14 C 14 es 16

9x 6 4 9x 6 Based on the equation above what is the value of 3x 2 A 4 B C 1 5 2 3 m

2 A television with a price of 300 is to be purchased with an initial payment of 60 and weekly payments of 30 Which of the following equations can be used to find the number of weekly payments w required to complete the purchase assuming there are no taxes or fees 30w 60 A 300 B 300 30w C 300 30w 60 D 300 60w 30

10 If lines are parallel and cut by a transversal then Corresponding Angles are Alternate Interior Angles are Alternate Exterior Angles are Same Side Interior Angles are Same Side Exterior Angles are

12 Write an equation of the line passing through the point 5 4 that is perpendicular to the line y 5x 7

11 Find the value of x that makes the lines parallel 3x 33 2x 26

Name the angle pair illustrated in each diagram below

5 B bisects segment AC Prove BC AC

Ex 1 Write a 2 column proof Given 24 and 25 are complementary 26 and 25 are complementary Prove 24 a 26 X 4 6

7 Find the values of x and y 5y 29 3 x 6 4x 7 7y 11

Adjacent Angles Vertical Angles Linear Pairs Complementary Supplementan

OR bisects LPOS Find m POR and m POS P S 3x 130 4x 10 R

2 Find the distance between the two points Show all work C 6 5 and D 3 1

The radius of a circle is 4 meters What is the length of a 135 arc 135 r 4 m Give the exact answer in simplest form meters

Find the measure of ZRKL R 2x K 2x 2 3x 2 M 4x 18

Find the geometric mean of 6 and 3 Write your answer in simplest radical form 1 2

Find the geometric mean of 8 and 18 Write your answer in simplest radical form

The radius of a circle is 1 inch What is the length of a 90 arc 90 r 1 in Give the exact answer in simplest form inches

A solution contains 2 grams of salt per liter How many liters of the solution would contain 27 grams of salt Round your answer to two decimal places Show your work here

Dale has a spherical balloon that has a diameter of 10 centimeters Alaina has a spherical balloon that holds 4 times as much air as Dale s balloon What is the diameter of Alaina s balloon Show your work here Hint To add the nth root symbol type root

What solid 3D object is produced by rotating the triangle about line y 13 y Show your work here O A cylinder with radius 13 O A cone with height 11 O A cone with radius 11 O A cylinder with height 13 11

What 2d shape s can be formed by a vertical slicing perpendicular to the base One or more answers may apply Show your work here rectangle triangle

Given mn find the value of x 7x 5 9x 3

Question 1 25 points A rectangular based pyramid is shown Determine the volume of the pyramid given the rectangle s dimensions are 42 cm by 30 cm and the height of the pyramid is 20 cm 3180 cm 4260 cm 6300 cm 8400 cm 42 cm 30 cm Figure may not be drawn to scale

oints Find the volume of a triangular prism given the measures in the diagram 230 400 cm 192 000 em 96 000 cm FM

Part 1 of 2 O Points 0 of 2 cording to a report from a particular university 11 2 of female undergraduates take t exactly 5 female undergraduates have taken on debt if 50 female undergraduates w at probability should be found A P 5 female undergraduates take on debt B 1 P 5 female undergraduates take on debt C P 1 female undergraduate takes on debt D 1 P 5 female undergraduates take on debt

The radius of a circle is 2 kilometers What is the length of a 180 arc 180 r 2 km Give the exact answer in simplest form kilometers

Question 4 13 points Find the total surface area of a right triangle prism given the measures in the diagram Figure may not be drawn to scale 288 cm 360 cm 382 cm 396 cm 15 cm 6 cm

The pyramid shown has an equilateral triangle for a base The equilateral triangular base has sides of length 4 and a height of 2 3 cm height The remaining lateral faces are 3 congruent isosceles triangles with a height of 8 cm Determine the surface area of the pyramid described and shown 48 8 3 cm 48 4 3 cm 96 4 3 a 96 4 3 cm cm 2 3 cm cm Figure may not be drawn to scale

What is the cosine of Angle P O 9 R O 9 P T P r Q

A compound solid with a square base is created using a prism and a pyramid Using the provided measures find the total surface area of the solid 120 cm 136 cm 145 cm 205 cm 5 cm 6 cm 5 cm 3 cm Figure may not be drawn to scale

Choose the correct ratio 14 X 37 O sin 37 tan 37 cos 37 O sin 37 14 14 X 14 14 X

1 A tall tree casts a shadow of 35 yards and is 24 yards tall A smaller flagpole stands 14 yards from the tree such that their shadows meet at a point Determine the height of the flagpole

2 Two buildings are 100 feet apart The taller building is 100 feet and casts a shadow of 125 ft etermine the height of the smaller building

4 ARST AXYZ with RS 4 inches and XY 5 inches If the area of ARST is 64 square Enches what is the area of AXYZ in square inches

Use the given information to fill in the number of elements for each region in the Venn diagram A U B 32 n An B 8 n A 30 and AUB 61 Y 6 L the number of elements in region x is the number of elements in region y is the number of is and the number of elements in region w is Type whole numbers

E F H Circle E has a radius of 5 5 meters FG is a chord and HE is a perpendicular bisector FG If FG 6 5 meters calculate the distance of EH

Write an equation for the function graphed below Use y for your output variable 44 Q

A new dog park is being designed by a city planner The park is enclosed by a fence and shaped like a parallelogram What is the area and perimeter of the dog park Round your answers to the nearest hundredth if necessary

the fourth one on the positive x axis Find A A X B A 2 C A 3 D A 7 Graph calculator and find the max area and the x value width that gives that maximum axis and

Find an equation in standard form for the hyperbola that satisfies the given conditions Transverse axis endpoints 3 4 and 3 2 conjugate axis length 4

20 Identify the coordinates of the center the vertices foci and the equation of the asymptotes Graph the Hyperbola x 1 9 y 2 16 1

A shipment contains 10 igneous 8 sedimentary and 8 metamorphic rocks If probability that exactly 3 are sedimentary The probability that exactly 3 of the rocks are sedimentary is Round to four decimal places as needed

2 A A 5 A 31 8 A 69 9 A Question 10 1 point Retake question K If LM 5 and KL 14 find the length of MN Round your answer to one decimal place Your Answer 2009 A WAARO

Find the area of the region inside of the cardioid r 4 4cose and outside of the circle r x 2 1 2 0 0 6 0