2D Geometry Questions and Answers

Is parallelogram RSTU a rhombus R U yes no T

If DE 4u and DG u 24 find the value of u that makes quadrilateral EFGH a parallelogram G H U F E

Solve the inequality f x f x x 3 x 1 2 by usir function

y mx c find the for a straight line function

Which of the following represents a quarter of a donut a 0 r 5 0 0 c 2 r 4 0 0 T b 1 r 3 0 T d 0 r 5 0 T

Plot the point s where csc 0 2 o Clear All Draw

A piece of cardboard is 2 2 times as long as it is wide It is to be made into a box with an open top by cutting 2 inch squares from each corner and folding up the sides Let x represent the width in inches of the original piece of cardboard Answer the following questions COCO 2 a Represent the length of the original piece of cardboard in terms of x gth in Use integers or decimals for any numbers in the expression b Give the restrictions on x What will be the dimensions of the bottom rectangular base of the box The restriction on x will be Type an inequality The length will be in and the width will be in Round to the nearest tenth as needed The length will be in and the width will be in Type expressions using x as the variable Use integers or decimals for any numbers in the expr c Determine a function V that represents the volume of the box in terms of x V Simplify your answer Use integers or decimals for any numbers in the expression d For what dimensions of the bottom of the box will the volume be 320 in 2 ofy if such a box is to have a volume between 400 and 500 in

For problems 3 6 refer to the following figure A B E C D 3 If AD 125 and BC 173 find ZBEC 24 find CD 4 If AEB 35 and AB 5 If ZCAD 30 and LBDA 40 find ZCE 6 If ZCED 41 and ZDAC 25 find AB

ictions a3 X www awu aleks com alekscgi t Conversions Gi ne Clever Por displacment

3 Jacqueline is a plumber She charges a flat rate of 50 00 plus 30 00 h for emergency house calls en in Buan nooled A t a Create a table of values showing Jacqueline s earnings after each hour of work up to 5 hours Draw a graph of the data Describe the relationship between the variables Jaqueline s earnings Hours of work 1 2 3 4 5 Earnings brip noolled erit to Irpieri ort neewtod ginencilsien ell entworte no Base onu ett Sm GDC to trziert of ear of noolled erit exim Ji lliw gnol woH 3 b What is the slope of the graph What does it represent moa 18 to atens in 2oxid amet vosomoo lisinen alovoid A S C Wha What is the y intercept What does it represent i lart nullsupa ne ethW B auor to 19dimun navig vas tal said d Write an equation that describes the relationship between hours of work and earnings

4 S an wants to join a gym There are two gyms in his neighbourhood Gym A a 100 00 fee to join then charges 19 99 per month of membership Gym B charges 29 99 per month of membership a Write equations representing the costs of the two gym memberships b If Sean plans to keep his membership for 12 months which gym membership will be cheaper

CD Find the length of CE Round to the nearest tenth if necessary C A 16 14 E D 29 B

Previous Page Question 12 1 po What is the equa circle x 8 2 y 2

Page 1 1 Page 2 2 Page 3 3 Page 4 4 O x 2 y 2 25

Page 1 1 Page 2 2 age 3 Question 1 1 point Saved Which general form equation below corr 3 2 1 3 2 7 1 7 23 x y 2x 2y

ONGRUENT TRIANGLE PI ven XV XZ V Z ove 2W LY atements

2 Solve for the missing angle Round to the nearest tenth 4 0 To side your challenge the police have sent you of all the visitors from the day Ther 30 suspects Each clue will elimina potential sects When all the clues have be of the murderer will be reve 7

K C lighthouse to the boat is 55 ft and the height of the lighthouse is 40 ft What is the approximate number of 7 An observer in the top of the lighthouse looks out to a boat in the water If the distance from the top of the degrees in the angle of depression a 36 b 43

6 Using the diagram above determine AD to the nearest tenth 30 40 B 75 cm

8 In triangle ACB LC 90 BC 3 6 and AB 5 What is the m A to the nearest whole degree a 44 b 36 c 46 d 54 A C B

1 In right triangle CAB mLA 90 CB 12 8 and AB a Determine mzB and mzC to the nearest whole degree B 3 9 A 12 8 b What is mzB mzC CAC to the nearest tenth

2 In AABC what is the length of AB BC to the nearest tenth a 3 1 b 9 0 c 5 9 d 2 8 A 32 5 B C

3 In rectangle ABCD below mzDAC 35 If AB 6 determine the length of AD to the nearest tenth A

5 What is the length of BD C 7 D 16 A W3TVAS AT 20 dire botadel eign sill not svic

1 Solve for the angle labeled with a 23 2 b 1 c 64 6 d 30 21

4 In the right triangle SRT below m R 90 mLT 30 and RT a 3 3 b 7 3 3 c 14 3 d 14 3 3 S R

congruent to AACB B Show your work here 50 AC CA C 50 The triangles are congruent by the ASA criterion ZACB ZCAD A The triangles are congruent by the SAS criterion The triangles are not congruent D

whether ATQS is congruent to AQSR Select as many as apply QS SQ T Show your work here 16 ZR 2T 16 The triangles are congruent by the AAS criterion The triangles not congruent R S

elect all un X H V 5 Show your work here 12 VW WZ W 12 5 ZVWXZYWZ because vertical angles are congruent The triangles are congruent by the SAS criterion Y The triangles are congruent by the ASA criterion Z

Solve for Zn Submit your answer in terms of degrees A B Show your work here 93 n

Solve for Zz Submit your answer in terms of degrees 61 Show your work here A B

b The vertex of the parabola f x x 2 4x 5 is Type an ordered pair using integers or fractions

find the length of the dotted line accurate to 1 decimal place NOT drawn to scala 61 9 123 m 77777

For the given data 18 3 11 2 5 7 21 5 18 5 4 1 10 8 17 0 19 1 13 7 Find the Class Weight assuming 3 groups Round approriately 711

Solve for x to make A B 13x 14 A x 11x 28 B

Quadrilateral QRST has vertices at Q 6 2 R 4 6 S 4 4 and T 1 8 Is QRST a right trapezoid Justify your answer Yes QT and RS are parallel to each other and perpendicular to ST Yes QR and ST are parallel to each other and perpendicular to RS No none of the sides are parallel No none of the sides are perpendicular

6x 8 9x 11x 20 10 What is the area of the shaded area 4x 7x 2 16x 5 11 What is the area of the shaded area

10 Use the following sets to define each set below a ANB c AUC e BOC A 4 7 10 14 17 20 B 1 4 9 14 20 b BUC d ANC f AUB C 2 3 7 10 17

3x 2x 5 3 What is the perimeter 4 What is the area 5 V 6 V

18 A all students at Blue Ridge High School B freshman at Blue Ridge High School 19 A the set of integers B factors of 60

This is a 2 page document Directions Define each set and classify it as a finite or infinite set 1 The days of the week 1 2 Odd numbers greater than 9 3 Months with exactly 30 days 4 Positive factors of 24 5 States that begin with the letter B 6 Multiples of 7 N 3 4 5

7 If U 2 4 6 8 10 12 14 16 and A 6 10 14 what is A U X2 9 If the universal set contains natural numbers that are at most 25 and 4 is the set of multiples of 3 that are less than 20 define each set A 8 If U is the set of the numbers on a 6 sided die and B is the set of numbers on a 6 sided die that are greater than 3 find B

Find the area of the figure Round to the nearest tenth if necessary 12 in

To estimate the height of a mountain above a level plain the angle of elevation to the top of the mountain is measured to 32 One thousand feet closer to the mountain along the plain it is found that the angle of elevation is 34 Estimate the height of the mountain Round your answer to the nearest foot 18662 ft

2 ft Find the area 5 ft 5 ft Remember Ao r A ft Round to the neare hundredth Use 3 14 for T

17 Find MN M 35 OA 12 OB B 6 OC C N Alw C 5 1 3 2 OR7 D7 P 35

The area of a triangl OA A bh OBA bh OCA ap OD A h b b

The graph shows quadrilateral FGHI 104 9 I F 186 7 Yes FG and HI are parallel NW654 3 2 1 10 9 8 7 6 5 4 3 2 1 1 8677 A WN 2 3 4 5 6 7 8 9 10 Is FGHI a parallelogram Justify your answer No FG and HI are not parallel 1 2 3 4 5 6 7 8 9 10 H Yes FG is parallel to HI and FI is parallel to GH No FI and GH are not parallel X G

Find the equation y ax2 bx c of the parabola that passes through the points To verify your result use a graphing utility to plot the points and graph the parabola 1 5 2 4 3 3

describe the relationship between lines 3x 4y 7 and 4x 3y 7