2D Geometry Questions and Answers

10 cm Find the surface area to the nearest tenth Select one O a 1256 6 cm O b 3141 6 cm O c 418 9 cm Find the volume to the nearest tenth Select one O a 4188 8 cm Ob 418 9 cm c 12566 4 cm

2 AF AD LF ZD Triangle AFE and triangle ADE 3 ZROQ ZPQO R E 0 13 1 13 1 10

The circumference of a standard baseball is about 9 in About how many square in of horsehide are required to cover 100 balls to the nearest whole number Select one O a 25447 in O b 2578 in O c 821 in O d 900 in

For problems 5 and 6 use the figure below 2 in 7 in 2 in Find the surface area Select one O a 64 in 2 O b 32 in 2 O c 84 in 2 O d 28 in 2

A food company makes regular and tall soup cans The area of the base of both cans is 30 cm The volume of the regular can is 270 cm The tall can is 2 cm taller What is the volume of the tall soup can Select one O a 330 cm O b 540 cm O c 295 cm O d 300 cm

Is the average time to complete an obstacle course when a patch is placed over the left eye Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye The completion times are shown below Left means the patch was placed over the left eye and Right means the patch was placed over the right eye Time to Complete the Course Right 43 41 40 46 42 40 49 50 Left 44 44 40 49 43 40 48 53 Assume a Normal distribution What can be concluded at the the a 0 05 level of significance level of significance For this study we should use Select an answer a The null and alternative Ho Select an answer H Select an answer hypotheses would be Select an answer Select an answer C please enter a decimal Select an answer Please enter a decimal Select an answer b The test statistic c The p value d The p value is a e Based on this we should Select an answer the null hypothesis f Thus the final conclusion is that please show your answer to 3 decimal places Please show your answer to 4 decimal places The results are statistically insignificant at a 0 05 so there is insufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is less than the population mean time to complete the obstacle course with a patch over the left eye The results are statistically significant at a 0 05 so there is sufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is less than the population mean time to complete the obstacle course with a patch over the left eye The results are statistically significant at a 0 05 so there is sufficient evidence to conclude that the eight volunteers that were completed the course faster on average with the patch over the right eye compared to the left eye The results are statistically insignificant at a 0 05 so there is statistically significant evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is equal to the population mean time to complete the obstacle course with a patch over the left eye

G 14 00016 N 8 79 D 2 3 over P C A 7 6 5 4 3 2 11 1 2 3 4 5 6 7 X fas B How do the areas of the parallelograms compare O The area of parallelogram ABCD is 4 square units greater than the area of parallelogram EFGH O The area of parallelogram ABCD is 2 square units greater than the area of parallelogram EFGH O The area of parallelogram ABCD is equal to the area of parallelogram EFGH O The area of parallelogram ABCD is 2 square units less than the area of parallelogram EFGH

There are approximately 17 620 people per square mile in New York City If New York City is 468 square miles approximately how many people live in New York City

The density of gold is 19 3 grams per cm What is the mass of a gold block in grams that measures 10 cm by 3 cm by 3 cm

A medium sized box can hold 55 T shirts If the dimensions of a jumbo box are three times that of the medium box h many T shirts can the jumbo box hold

Tr 54 3 2 440 7 6 LA 4 NO 2 1 5 A N 2 9 4 5 Which expression can be used to find the area of trian RST O 8 4 10 12 16 8 4 10 12 16 8 4 5 6 8 8 4 5 6 8

U 2 3 4 5 6 7 8 9 IT X parallelogram RSTU what is the corresponding height of the parallelogram O 4 5 units O 5 4 units O 9 0 units 10 8 units

Payton cut out two shapes as shown that she will later put together to resemble a house CH DO 8 r IX 6 54 4 4 CP3 N 1 1 2 3 4 5 6 7 8 9 9 x What is the total area of the two shapes O 20 square units O 21 square units O 22 square units 23 square units

5 4 3 2 114 2 JN 17 IN 2 M 4 5 What is the area of triangle LMN O 3 square units O4 square units O 6 square units O 8 square units

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame 5 3 photograph 5 3 2 14 3 red paper 5 N 3 5 X What is the area of the piece of red paper after the hole for the photograph has been cut O 17 square units O 25 square units O 39 square units O 47 square units

A parallelogram is cut out of a 12 inch by 8 inch sheet of paper There are four right triangle remnants Two have the dimensions 2 inches by 9 inches and the other two have the dimensions 3 inches by 6 inches 9 22 in The resulting parallelogram has a base of approximately 9 22 inches Complete the following steps to calculate the altitude of the parallelogram using area methods The area of the sheet of paper is inches square The combined area of the triangle cutouts is square inches The area of the parallelogram is inches square The altitude of the parallelogram rounded to two decimals is square inches

101 9 80 7 6 5 4 2 F 1 2 3 4 5 6 7 8 9 X 10 One of the altitudes of the parallelogram shown is 22 5 units What is the length of the other altitude O 5 units O6 units O 30 units O 40 units

A parallelogram has coordinates of 5 17 10 20 18 9 and 13 6 Which right triangle represents one of the cutouts from the box method 5 17 5 18 8 11 3 8

A C o E Show Transcribed Text B D a proved Tringle BCE Tringle BCD b if AD 10 CE 2BE calculate the

The surface areas of two similar triangular prisms are 132 m and 297 m The volume of the smaller prism is 264 m What is the volume of the larger prism Select one O a 594 m O b 891 m O c 3007 125 m O d 1336 5 m 3

What is the volume of the pyramid If necessary round to the nearest tent 8 ft 7 ft 7 ft Select one O a 196 ft O b 130 7 ft O c 56 ft O d 392 ft

What is the volume of the figure below If necessary round to the nearest tenth 3 in 5 in Select one O a 141 4 in O b 47 1 in O c 94 2 in 3 O d 188 5 in

What is the volume of the cone rounded to the nearest cubic inch 6 in 4 12 in Select one O a 226 in 3 O b 905 in 3 O c 2714 in 3 O d 72 in

Sketch the graph of y 2cos 2 x 1 Draw a dotted horizontal line at your maximum and minimum values Draw a dotted vertical line at the end of your first period

10 1 9 8 7 LO 4 3 2 1 y 12 3 4 LO 5 CO 6 7 8 X 9 10 Each unit on the coordinate grid represents 1 yard The rectangular pool and triangular hot tub shown are both in need of covers How much total material is needed to cover both square yards

Find the scale factor of a cube with volume 216 ft to a cube with volume 1000 ft Select one Oa 36 100 Ob 5 3 O c 100 36 O d 3 5

The surface areas of two similar solids are 384 yd and 1057 yd The volume of the larger solid is 1795 yd What is the volume of the smaller solid Select one O a 1795 yd O b 1082 yd O c 393 yd O d 978 yd

The volumes of two similar figures are given The surface area of the smaller figure is given Find the surface area of t larger figure V 125 in V 216 in 3 S A 200 in

Q 9 5 10 8 6 10 a 6 N 2 8 10 2 R 6 10 6 S 2 10 8 10 x Find the area of the triangle QRS Area square units

If the scale factor of two similar solids is 3 14 what is the ratio of their corresponding area What is the ratio of their corresponding volumes Select one O a The ratio of their corresponding areas is 3 196 The ratio of their corresponding volumes is 3 2744 Ob The ratio of their corresponding areas is 6 28 The ratio of their corresponding volumes is 9 42 O c The ratio of their corresponding areas is 9 196 The ratio of their corresponding volumes is 27 2744 Od The ratio of their corresponding areas is 27 2744 The ratio of their corresponding volumes is 9 196

6 Andre is thinking through a proof using a reflection to show that a triangle is isosceles given that its base angles are congruent Complete the missing information for his proof B Construct AB such that AB is the perpendicular bisector of segment CD We know angle ADB is congruent to 2 1 DB is congruent to is congruent to angle since AB is the perpendicular bisector of CD because they are both right 3 6 Angle angles Triangle ABC is congruent to triangle Congruence Theorem AD is congruent to 4 5 because of the Triangle because they are corresponding parts of 7 congruent triangles Therefore triangle ADC is an isosceles triangle

4 Select all true statements based on the diagram a Angle CBE is congruent to angle DAE b Angle CEB is congruent to angle DEA c Segment DA is congruent to segment CB d Segment DC is congruent to segment AB e Line DC is parallel to line AB f Line DA is parallel to line CB

10 8 6 4 2 B A T y 10 20 6 4 st 2 2 4 6 10 D 2 FXX 4 C CO 6 8 10 E X Which statement is true of the right triangles ABC and DEF O Area of ABC is greater than area of DEF O Area of ABC is less than area of DEF O Area of ABC is equal to the area of DEF O There is not enough information to compare the areas of triangles ABC and DEF

Find the missing length of the triangle 1 8 ft I 6 ft

Translate it to become the graph of y Below is the graph of y x 2 3 X

10 6 A 3 1 D 2 11 y 10 2 TO 2 B 7 9 10 C 8 1 Create a rectangle around the parallelogram The dimensions of this rectangle are Find the area of the four right triangles surrounding the parallelogram The total area of the triangles is square units Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram The area of parallelogram ABCD is square units

10 8 4 2 D y 10 69 4 N 7 6 8 10 14 51 I 2 E B 6 8 10 C X Segment BE is the altitude of parallelogram ABCD BE is approximately 14 5 units long What is the area of the parallelogram rounded to the nearest unit square units

Graph the exponential function f x 8 Plot five points on the graph of the function and also draw the asymptote Then click on the graph a function button X

9 Find the arc length and area of the sector and round your answers to the nearest tenth 4 pts 60 10 in

5 In the segment below segment DC 29 ABD 52 and BCD 30 Find side lengths AB BC AC rounded to the nearest tenth and angle measures for A and ABC rounded to the nearest degree 5 pts h 29 30

6 One card is randomly drawn from a deck of 52 cards What is the probability of getting a Jack or a Spade 3 pts

a A sum of 5 6 or 7 and the probability of getting b Doubles or a sum of 6 or 8 c A sum greater than 8 or less than 3 d Based on the answers to part a b and c which is least likely to occur Explain why 9 An urn contains 6 red marbles 2 green marbles 1 blue marbles and 1 white marble If a marble is drawn find the probability of getting a red or a white marble

from an ordinary deck of cards find the probability of ge the following a A king or a queen or a jack b A club or a heart or a spade c Aking or a queen or a diamond d An ace or a diamond or a heart e A 9 or a 10 or a spade or a club

What is the formula for finding the surface area of a triangular prism Explain why this formula make

the surface area of the rectangular prism below T 2 feet 6 feet

Find the volume of the figure to the nearest tenth 10 m 13 m 10 m 10 m Select one O a 2300 m O b 1633 m O c 1043 m O d 1433 m

3 In the cube above one of the edges is 4 inches a How many faces squares makes up a cube b What is the surface area of the total cube c What is the surface area of the top and bottom of the cube only

50 m rmine the surface area of the right rectangular prism below whose base is a square YOU DO ROUND 1 10 m L10 m

2 Determine the surface area of the triangular prism below 15 cm 5 cm 3 cm 4 cm 5 cm

Find the surface area of a sphere with a circumference of 13mm Round to the nearest tenth Select one O a 2 1 mm O b 26 9 mm O c 4 3 mm O d 53 8 mm