2D Geometry Questions and Answers

1 The length of arc s 327 and the length of r 64 What percentage of the circle s circumference is s 64r S

3 The area of a circle is 18m Determine the radius of the circle in simplest radical form

2 Determine the area of a circle whose diameter is 22 in Round your answer to the nearest tenths a b 1520 5 in 380 1 in 1382 in

Use the figure below to find SR C SR 7x A S 5x 6 R

Identify the error in Jeremy s statement below D U 6 12 UK DS so by the Triangle Midsegment Theorem CU UD and CK KS A Jeremy is correct There is no error B The Triangle Midsegment Theorem does not establish congruent segments It cannot be assumed that UK is parallel to DS therefore the Triangle Midsegment Theorem cannot be use D UK would have to equal DS for the Triangle Midsegment Theorem to apply

Complete each statement based on the image below H A S N If HS DS then ZH Z If SN DN then ZD Z D If ZH ZHSA then segment AH segment If ZSAN ZSNA then segment SA segment

Given the image below is there enough information to prove that ABAD AND B A H D N A No there is not enough information to prove the triangles to be congruent B Yes the triangles can be proven to be congruent using Angle Side Angle ASA Yes the triangles can be proven to be congruent using Side Angle Side SAS D Yes the triangles can be proven to be congruent using Side Side Side SSS

In the figure below J 105 7 L Complete each statement m X m2A AX m Q degrees degrees degrees 34 Y

5 The circumference of a circle is 1257 Determine the length of the diameter of the circle

6 The area of a circle is 50m Determine the length of the radius in simplest radical form

YOU DO ROUND 1 AB is 67 If the length of r 18 what percentage of the circumference is arc AB A To tignol Siti r B

RK must be shown in order to receive full credit all work and annotations Keep 1 Below is circle A a Determine the area of circle A if AB 4 cm Leave your answers in terms of pi b If the area of AABC is 8 cm what percentage of the circle is shaded P

4 The area of A 16m The length of the radius r 10 What percentage of the circle is sha

1 Using the circle fill in the table Secant Line Tangent Line Radius Diameter Chord not the diameter DO NOW 1 P m 0

The circumference of a circle is 58 cm What is the best approximation of the ra

2 What is the perimeter of quadrilateral MNOP if M N U midpoints of the rectangle ABCD a 12 b 16 c 20 d 24 A P D 0

Find the values of x and y Write your ans in 5 y 150

What is the perimeter 1 ft feet 1 ft 1 ft

ok at this square Find the value of z

9 D 9 N 1 H Question 1 6 points Rectangle ABCD E 16 IT T 12 18 Perimeter Area

6 W is the midpo midpoint of RU What is the value of p 68 W ap 7 S 80 17 Ub 20 R 689 8 U is the midpoint of TV and R is the midpoint of QS What is the value of b

The figure below shows a circle with center T diameter PO and tangent UI Which of the angles must be right angles Select all that apply P T X

following coordinates and connect to form a quadrilateral 2 Calculate the slope of each side 3 Calculate the length of each side 4 Determine if the quadrilateral is a parallelogram Q 2 3 R 5 7 S 3 6 T 6 2 10 8 6 4 1 0 2 000 CON 8 2 000 AN 2 4 6 8 10 2 4 6 8 10 m Y y X2 X1 d x x 1 1

Solve for 2 Round to the nearest tenth if necessary R 59 61 X T

Solve for x Round to the nearest tenth if necessary V X X 15 90 W

Find the segment length indicated Assume that lines which appear to be tangent are tangent 7 5 B 10

2 The garden s length is three feet longer than the width If the perimeter is 26 feet choose the best equation for the situation 4w 3 26 O w 3 w 26 4w 6 26 B i U Font Family AAA E

An airplane took off at a constant angle of elevation After the plane traveled for 252525 miles it reached an altitude of 555 miles as modeled below 25 miles To the nearest tenth of a degree what was the angle of elevation 5 miles

5 The diagram below shows the layout of the street of a tiny island off the coast of Mexico Answer questions about the diagram K F E D G H C A B a Identify 2 secants b Identify 2 chords c Is the diameter of the circle longer than HC Explain your response

2 Using the diagram below of circle A name ONE segment for each of the following Secant Line Tangent Line Radius Diameter Chord not the diameter B E A D C

E A LL C 3 In circle A to the left which of the following is not true a EF is a diameter b CB is a secant c BA is a radius d BF is a tangent line 2 10 2010

1 Using circle A write down the best name for the following segments or arcs AB EF FB DC CB B E U

2 Use the diagram to answer the two questions a What is the best name for AC b What is the best name for DB W D B C

5 Using the diagram shown two students disagree about the correct terminology for the parts of the circle Fatima stated that MN was a chord while JL was a secant Omar was convinced that MN was the secant while JL was a chord Which student do you agree with and why S U T R K N L

1 Using the diagram above of circle A name the following Secant Line Tangent Line Radius Diameter Chord not the diameter B A D C TI F

3 SAT Question Equivalent Expressions Which of the following is equivalent to the expression below 2 2a 3a b 4b a 5a b 10b a 6a b b 3a 11a b 18b C 3a 11a b 2b 50 2a b 2b d

2 Match the part of the circle with the term that best describes it 1 2 4 5 6 GH M JM J MH GH A Center B Chord C Diameter D Radius E Point of tangency F Secant N G M J H K

Draw 7 4 in standard position Answer in radians the is already given

If your source has two authors and a page number then the in text citation should include the last name of each author separated by and and followed by the page number For example if your paper includes information from page 101 of a book called Affordability and the Community College by Christina Alvarez and Daniel Jackson then the citation would be Alvarez and Jackson 101 Notice that 1 Both last names are included in the in text citation and are separated by the word and 2 The page number follows the authors last names There is no p before the page number 3 There is no punctuation at all in the in text citation How would you write the in text citation for the results of a study that you found on page 38 of Affordability and the Community College O Alvarez C and Jackson D 38 O Alvarez and Jackson p 38 O Alvarez and Jackson 38 O Alvarez and Jackson p 38 O Alvarez and Jackson 38

Find the bearing from O to A N E The bearing from O to A is

Find q 30 4 3 cm 9 60 Write your answer in simplest radical fe centimeters

Write an equation for the function graphed below y x 2 2 x 3 x 3 1 a ENE

Use the fact that 1 yd e 8 yd to c bic feet 8 yd f43 1

Find the missing value by using Number of vertices number Number of Vertices 11 Number of Number of Edges 17 Number of

Bumblebee Company estimates that 337 700 direct labor hours will be worked during the coming year 2020 in the Packaging Department On this basis the following budgeted manufacturing overhead cost data are computed for the year Fixed Overhead Costs Supervision Depreciation Insurance Rent Property taxes 88 200 72 000 29 760 24 360 13 080 227 400 Variable Overhead Costs Indirect labor Indirect materials Repairs Utilities Lubricants 155 342 74 294 67 540 67 540 16 885 381 601 It is estimated that direct labor hours worked each month will range from 21 500 to 29 600 hours During October 21 500 direct labor hours were worked and the following overhead costs were incurred Fixed overhead costs Supervision 7 350 Depreciation 6 000 Insurance 2 450 Rent 2 030 and Property taxes 1 090 Variable overhead costs Indirect labor 10 920 Indirect materials 4 320 Repairs 4 240 Utilities 4 630 and Lubricants 1 365 a Prepare a monthly manufacturing overhead flexible budget for each increment of 2 700 direct labor hours over the relevant range for the year ending December 31 2020 List variable costs before fixed costs BUMBLEBEE COMPANY Packaging Department Monthly Manufacturing Overhead Elevible Budget

Use the Pythagorean theorem to determin e triangle and c determine the area of the

Determine a the area and b the circumference

Determine a the area and b the circumfer

16 Find the surface area of the prism 6 4 in 3 7 in 0 6375 in 1 in 1 7 in 1 in h 0 5 in h 1 5 in

5 Find the surface area O 130 ft O 80 ft O40T ft O 200 ft 5 ft 8 ft