Geometry Questions

State two other ways to name Zx T y X U

a Use Gauss elimination method to solve the following problem A shopkeeper is selling 3 types of fruits namely mango guava and pineapple By selling 3 kg of mangoes 1kg of guava and 2 pineapples he made a gain of 35 By selling 2 kg of mangoes 3kg of guavas and 1 pineapple he made a gain of 10 By selling 2 kg of guavas and 1 pineapple he made a loss of 5 How much profit or loss will he make if he sells 3 kg of mangoes and 2 pineapples b For which real values of a and b the matrix 20 bl becomes orthogonal

33 The perimeters of two similar figures are 20 in and 50 in What is the ratio of the areas of the two figures State your answer as a fraction 34 If triangle ABC is similar to triangle MNO and side AB 23 when side MN 10 what is the length of side BC when side NO 33 O 72 03 O 77 94 O 75 9 O 74 26

2 Use the following similar triangles AABC ADEF If BC 26 when EF 29 and DF 13 what is the length of the corresponding side to DF Solve mathematically drawings not to scale Round your answer to the nearest tenth AC A B D F E

2 3 The perimeter of this figure is O 11 in 15 in O 16 in 12 in2 O 12 ft 16 ft 2 1 and the area is 2

a Asked to name the distance that corresponds to the height slant height and base of parallelogram DEBT Brian and Briana Bronco wrote down different answers How they differed on identifying the base is shown below Complete the chart with rest of their answers slant height base height Briana TD Brian Find the area and perimeter of DEBT DE T B 6 G 65 9 7 2 D F 77 E 7 5 Measurements are in inches When they calculated the perimeter and area of DEBT did the Bronco twins Brian and Briana get different answers Explain

y 6 25 Points Given that the pair of triangles is similar find the lengths x and y Let a 4 and b 13 X DETAILS Need Help a b STRIG2 B 1 011 Read It 3 2 y 2 2

W 1 Volume of cubes prisms and pyramids JUB What is the volume of this triangular pyramid 6 m Submit 9 m 10 m cubic meters

e table below gives the shape and color of toy blocks in a certain set ese are the only toy blocks in the set Shape Star Square Circle Triangle Clover Color Purple Green Red Blue Red conditional statement is given below Give the converse contrapositive and inverse of the statement Also use the table abc ecide if each statement is true or false Assume that any toy block mentioned comes from the set Given statement If a toy block is a triangle then the toy block is blue Converse Contrapositive Inverse If Choose one then Choose one If Choose one then Choose one If Choose one then Choose one O True True True True False False False False X

The midpoint of ST is M 3 0 One endpoint is S 6 5 Find the coordinates of the other endpoint T T M 3 0

In the figure below g o Find the values of x and y g m 70 3y 26 x O X y

ZABD and ZDBC are A B What is the measure of x D 7 complementary angles X x C Angles are not drawn to scale Enter

7 Jaime randomly surveyed some students at his school to see what they thought of a possible increase to the length of the school day The results of his survey are shown in the table below Lengthening School Day Survey In Favor Grade 9 10 11 12 12 15 8 5 Opposed 6 3 12 16 Undecided 9 11 10 9 Part A A newspaper reporter will randomly select a Grade 11 student from this survey to interview What is the probability that the student selected is opposed to lengthening the school day Part B The newspaper reporter would also like to interview a student in favor of lengthening the school day If a student in favor is randomly selected what is the probability that this student is also from Grade 11

Use the graph to answer the question Y T S Q 2 4 2 N 2 R 29 Which ordered pair corresponds to point U 30 Which ordered pair corresponds to point S 31 Which point is located in Quadrant II

1 Measure the line segments below in 2 Use your protractor to draw ZABC with measure of 155

16 If AB 12 and AC 5x 4 find x MWO SE alle atmoe niwe www P

16 If AB 12 and AC 5x 4 find x MMO Trades armloq gniwollst B

3 4 Name the plane that represents the bottom of the box Find the intersection of DC and CF Find the intersection of planes EDCF and BGFC Name the two planes that intersect at EF Shado plano CBG 0144 D A sipas telleme E H C B F

2 3 of DE is 3 5 The coordinates of D are 1 5 What are the coordinates of E GADS PIRE JEAS List all segments that are parallel to DE List one segment that is skew to AB xod sids D E F G

8 a 9 10 Are the following points collinear QNM circle one Yes No b Are the following points coplanar Q NP circle one Yes No Name line a in two other ways Name one pair of opposite rays N M a

15 If mZPOS 2x 5 and mZSQR 3x 10 a b Find x to engad to notrpensinilants bali S 0909 10 to nolasetain ads unit Find the measure of the smaller angle Al is there in baill anstadt ame P

Find the distance between Importa Box

Match the following number sequences to the formulas 5 10 20 40 5 10 15 20 4 8 16 32 4 8 12 16 DRAG DROP THE ANSW a 5 5n an 4 2 1 an 4 4 n 1 an 5 5 n 1 an 5 2

20 Name the following in the diagram below Intersection of 2 Segments Intersection of 2 planes 1 L sc ban 21 P nouammolni nsvig sdt In diw og does am Two skew segments d What is a Vertex SACS 08 CA POR M R TA OA SOTH STAD OR Om Tr

19 Are these polygons Give a reason why or why not BAC to A od D E B B to swesom sa brit of torq Day 320 30 C SASA DAS A HACS 2 A E HACE Isdal nedi bus w of two fastsan 9000f om oss C 08935 001 ON 8 stuz6em navig adi daw signe ross

Classify 7 Sides 09 4 sides the PolygoN 12 sides please 9 Sides Smal sielamos of trigins surgit sri sau 2 1 292075 207 BASS to ABS te

For Exercises 13 15 find the measure of the angle formed by the hands at each time 13 3 00 14 4 00 19 15 3 30 10 9 8 12

K For Exercises 1 5 use the figure at right to complete each statement of ZBAE 1 A is the Mid Paint 2 AD is the Ray 3 AD is a 4 If mLBAC 42 then mLCAE 5 LDAB DAE of LBAE of LDAE no vriw no Seasure of D

K For Exercises 16 and 17 mark each figure with all the given information 16 mLADB 90 AD BD LDAB LDBA A B D C 17 m RPQ 90 QR TZ RT QZ LQ LT R 47 P T 3673879 xemay

For Exercises 10 12 use your protractor to draw and then label each angle with the given measure 10 mLMNO 15 11 m RIG 90 12 mLz 160

P is the weighted average of A and B on the number line Find the coordinate of P under the given conditions 5 4 3 2 1 0 1 2 4 1 A has a weight of 6 and B has a weight of 3 2 The weight of A is one third the weight of B 3 The weight of B is 0 and the weight of A is greater than 0

Peas are measured by diameter Determine the area of a 6 inch personal pizza Round your answer to the nearest hundredth AN of square inches Determine the area of a 14 inch personal pizza Round your answer to the nearest hundredth 18394 osquare inches A6 inch personal pizza has 580 calories Determine the number of calories in the 14 inch poza Round your answer to the nearest calorie There are calories in the 14 inch pizza A 14h plas cut into 8 slices Estimate the number of calories in one slice of a 14 inch plesa Round your answer to the nearest calorie

If carpet costs 16 65 per square yard and is available in whole square yards only find the cost of carpeting the three bedroom floors in the accompanying floor plan Click the icon to view the floor plan It will cost to carpet the three bedroom floors www

In the diagram M is the midpoint of the segment Find the indicated length Find LN L X 9 M 4x N

Find MidPoint 1 9 10 10 2 2 1 3 3 1 M x x x x 2 Find Distance between the follow 2 points 3 2 1 4 3 4 3 5 7 1 Distance Formula x x x Y d

O NOW 5 9 7 7 5 6 8 4 2 1 5 3 M X X Y Y 2 2

Complete part a and choose another part to complete for credit Show all of your work Use geometric relationships to find angle measures Start by finding a special relationship the the bolded words on the handout between some of the sides or angles and use that relationship to write an equation Solve the equation for the variable then use that variable value to answer the original question a Find m MNP N 152 J B c Find m DBC Af 2x 4 M D x 7 C b Find m FGH K G 4x 3x 2 F x 28 4 P IN d Find m LPQ and m LP H M

perpendicular directions to chase their Pokemon Figure A shows their paths and the locations where they each catch a Pokemon Note The small squares in the grid have side lengths of one yard and areas of 1 square yar Figure A Dolores start 7 Marianne The red vertical line represents the path Dolores walked How far did Dolores walk before she caught a Pokemon yards The blue horizontal line represents the path Marianne walked How far did Marianne walk before she caught a Pokemon What is the distance between the spot wh yards

4 5 17m 11m O D Terminal Angle sin cos tan 8 Terminal Angle sin 8 cos 8 tan 8 Terminal Angle sin 8 cos 0 tan 0 csc sec 8 cot csc 8 sec cot 8 csc 8 sec 8 cot 8 Radians Radians Radians

Line RS bisects segment PQ at point R Find RQ if PQ 14 centimeter 3 5 7 centimeters 14 centimeters 28 centimeters centimeters

8 2 9 1 4 10 8 5 1 3 12 6 10 2 10

7 2 3 7 7 9 5 9 7 7 11 10 7 8 1

your answer to the nea 44 3 X 11 11

Period The Distance Formula Find the distance between each pair of points Round your answer to the nearest tenth if necessary 2 1 3 5 7 2 3 7 7 9 5 9 7 7 11 10 7 8 1 4 Name 6 y 8 2 9 1 4 10 8 5 1 3 X 12 6 10 2 10

11 The diagram shows the shape of one hole at a mini golf course The course is being renovated and the grass surface replaced Find how many square feet of grass will be needed to cover this area If the wooden railing along the outside also needs to be replaced how many feet of railing will be needed 12 The mini golf course has several holes with the same shape just a different size Write polynomials that can be used to calculate the amount of grass and railing needed for any course that shape 13 The mini golf course has another generic shape used for several holes write a polynomial for the area and perimeter of this shape as well 3x 7 ft 14 7 ft 2x 7 ft 14 ft x ft ft x ft 7 ft DE x ft 2x ft x ft x ft 2x f

B Find the perimeter of each polygon 1 3 9 2x 2 5x 3 4x 1 2x 1 2x 10 x 7x 2 5 The triangle has a perimeter of 9x 1 Find a polynomial expression to represent the third side x 3 Find the area of each polygon 7 3x 4 4x 3 2x 5 2 4 2x 1 8 8x 15 6 If the perimeter of the rectangle is 6x 18 what is the height 10 4x 2 2x 3x 5 8x 15 4x 6 3x 4 3x 2 4x 6 3x 4 4x 2 2x 1 Susan Poe

How different are the minor offense laws today from the laws discussed in the video and what effect do these laws have on employment income generation and wealth accumulation In what ways might we criminalize unemployment status or poverty today

10 Reflect the ant over the line y x 2 Create anchor points as needed 2 4 2 0 2 4 2 pre image

12 g x 2x 3 5 0 5 5 13 State at least one similarity and one difference between the functions for

Perform each of the transformations as described Focus on anchor points 9 Translate the grasshopper right 4 and up 3 2 20 0 2 2 3