2D Geometry Questions and Answers

Find each length of AB Use 3 14 for T and round to the nearest hundredth 1907 13 45 B A the arc len 3 in 14 160 A er s teritoluoy oh woh to som 908 en aq 8 cm B 15 Brand 960 95ob of 80 80SIDET PODA 2000 6 ft 3

driver 29rani to euLDSTED of makesh Convert each angle from degree measure to radian measure 21 15 23 110 22 55 24 200 dians traveled per unit of

Point Q lies on OP such that OQ PQ is 2 5 Graph Q 104 10 8 O Submit 6 P 4 2 00 8 6 4 2 2 4 6 8 10 2 4 6 8 X 10

Point Q lies on OP such that OQ PQ is 3 2 Graph Q 204 1 8 16 14 12 10 8 6 4 2 2 O 4 6 P 8 10 12 14 16 18 X 20

Point C lies on AB such that AC BC is 4 1 Graph C 204 18 16 14 12 10 8 6 4 2 Submit 2 4 6 A 8 10 B 12 14 16 18 20

Page 1 4 1 7 10 Nj 8 3 6 9 Question 4 1 point 8

Question 8 p Find LT if TF 5 LT LF D Blank 1 Blank 2 K Next Page Once you click Next Page you will ne

The coordinates of the endpoints of KL are K 16 10 and L 9 11 Point M is on KL and divides it such that KM LM is 4 3 What are the coordinates of M Write your answers as integers or decimals

1 Draw the reference triangles for the given angles below Label the axes a Draw the initial and terminal side Label the reference angle in degrees Draw the reference triangle Annotate all sides of the triangle 240

etting ready for tomorrow Given the triangle below what are the coordinates of point A YA A 1 30 A 60 1

A Question 3 1 point Retake question Figure A is a dilated image of figure B Find the scale factor CIT 20 19 18 17 16 15 14 13 12 11 10 1 3 B Ay XA

Given WR XP PR is a perpendicular bisector of WX Prove AWQR AXQP Statements Reasons W P

Using the Hypotenuse Leg Theorem HL Theorem Given The diagram to the right Prove AABD ACDB Statements Reasons A B D

Identify the parts of the triangles that satisfy the three conditions that must be met to use the HL Theorem 1 Two right angles 2 Two congruent hypotenuses 3 Pair of congruent legs S T U X W

Points A B 1 and 2 are on the unit circle and shown in the diagram below 1 2 B 3 2 T 712 2 Determine the length to the nearest tenth of a unit of arc AB that passes through point 1 Record your answer in the numerical response section below

7 63 Sketch a unit circle In your circle sketch in an angle that has A positive cosine and a negative sine a b A sine of 1 A negative cosine and a negative sine d A cosine of about 0 9 and a sine of about 0 4 C e Could an angle have a sine equal to 0 9 and cosine equal to 0 8 Give an angle or explain why not

Write the equation for the function graphed below 2 2 1 2 2 to

In circle J mIK 148 Solve for x if round your answer to the nearest tenth L

udent In circle P mQS 130 Solve for x if m QR round your answer to the nearest tenth S

GCPS Student In circle D m FEG 51 Solve for a if m round your answer to the nearest tenth D E

2 The equation of line c is y x 9 Line d is perpendicular to c What is the slope of line d Simplify your answer and write it as a proper fraction improper fraction or integer

27 5 Line g is parallel to line f What is the slope of line g Line f has a slope of Simplify your answer and write it as a proper fraction improper fraction or integer

Problem 4 1 Describe a sequence of transformations to show that the two triangles are congruent Use the sketch tool if it helps you with your thinking Submit

Question 2 Suppose that a and b are n vectors with boolean entries each entry is either 0 or 1 We have a group of n squirrels each assigned a number 1 n Vector a encodes the friendships of squirrel Atto with this group i e an entry ai 1 denotes that Atto squirrel 1 is friends with squirrel i Vector b is similar but for squirrel Besso squirrel 2 In this scenario a squirrel is not considered to be friends with themselves This means that a for Atto is 0 and b2 for Besso is 0 a 5 points Express the number of friends Atto and Besso have in common in terms of vectors a and b b 2 points Using an inner product describe how you would determine who has more friends between Atto and Besso c 5 points Use a and b to expression the number of friends Besso has that Atto doesn t

Question 16 of 60 Quadrant I of the standard x y coordinate plane is shown or a large computer screen A blinking dot is positioned at 2 3 The dot makes exactly 2 moves first F

V is the midpoint of TU Complete the proof that ASTV ASUV T 1 2 3 4 5 S V Statement SV SV V is the midpoint of TU ST SU TV UV U ASTV ASUV Reason Given Given SSS I

A plane flies 1 3 hours at 150 mph on a bearing of 40 It then turns and flies 1 5 hours at the same speed on a bearing of 130 How far is the plane from its starting point The plane is miles from its starting point Round to the nearest whole number 130

Y 27 71 4 Does the set of numbers form a Pythagorean triple Explain 7 9 11

5 A farm grain bin which is in the shape of a cylinder has a radius of 20 ft and a height of 50 ft The height of the grain bin will be increased by x ft and the radius will also be increased by x ft Find the polynomial that gives the volume of the new grain bin in ft

Sketch the graph of the line through 5 P 2 3 No Solution Hein 5 m 10 B 777 do 3 19 2 CL 4 10 0 co N 3 2 6 64 09 0 5

Find the missing angle measure in the circle For lines that look like diameters can be assumed as the diameter for the circle C 55 B 111 For your answer only put the number Do not enter degrees or the deg symbol

Name Teacher 1 Johnny Fuel Classify each angle as

If possible identify the congruence postulate that proves the triangles below to be congruent A 1 The two triangles shown cannot be shown to be congruent SAS congruency SSS congruency ASA CORU

3 8 11 Review Find the measure of ZA to the nearest degree B 11 9 C 0 10 A

5 Use the cross canceling method to simplify y fractions DO NOT USE YOUR CALCULATOR Leav answers in simplest form a 11 6 4 30

Name Standard Form of a Circle Equations of Circles Date 1 Write an equation of a circle with center 3 2 and a radius of 4 2 Write an equation of a circle with center 4 0 and a diameter of 10 3 Write an equation of a circle with center 2 9 and a radius of 11 Find center radius equation of the circle 5 General Form of a Circle 4 Find the coordinates of the center and the measure of the radius x 6 y 3 25 Graph the circle identify the center radius 7 x 3 y 2 9 6 42 2 6 e 12 F t 8 7 6 5 4 3 2 1

O Sketch a graph of each equation below a y 2 x 2 3 b y x 1 3 3

11 Calculate the following a Find the area of the shaded sector b Find the length of minor arc

e 3 2x y TOOLS CLEAR CLOSE If we change the equation to y 2x 3 how would the g Right 3 units To the left 3 units Down 3 units Up 3 units Rewatch Submit

mple 1 y 2x 1 X y 1 0 1 V TOOLS SIZE 24 CLEAR CLOSE True or False You can choose your own x value True False Rewatch

11 Determine the period horizontal shift vertical shift domain range and equations for the vertical asymptotes for the function Complete the chart of the 5 key points of one cycle of the new functions Sketch at least one cycle of the function on the graph and the asymptotes label them Draw your own axis properly scaled and labeled 3pts y tan x y tan 3x period horizontal shift vertical shift domain 4 range 1 vertical asymptotes tau 3x 4 1 4 y 0 0 3 2 2

Use the formula ZK cos 2k i sin 2tk to find all solutions of the equation Enter your answers in trigonometric form Let 0 0 2 n n x5 1024 0 Zo Z Z Z3 Z4

Find the sine of ZS S 19 62 T 43 R Write your answer in simplified rationalized form Do not rou sin S

31 ft M 0 80 63 50 ft 45 ft 37 N TUS What is m U S

An island is located 47 miles N28 35 W of a city A freighter in distress radios its position as N16 50 E of the island and N16 11W of the city How far is the freighter from the city The freighter is Round to the nearest whole number away from the city 16 50 47 m say B 28 35 N 16 11

The table below shows the population and I America by land area Country Population Area km Brazil 211 700 000 8 358 140 Argentina 45 500 000 2 736 690 Peru 31 900 000 1 279 996 Colombia 49 100 000 1 038 700 Select all of the true statements The population density of Peru is great

114 200 45 F F For your answer only put the number Do not type degrees or use the degree symbol Question 2 1 point Solve for x Assume that lines which appear to be diameters are actual diameters For your answer only put the number Do not type x

x For AABC which transformation composition is COMMUTATIVE x A B 2 1 reflect across the y axis and then reflect across the x axis reflect across the y axis and then rotate 90 degrees 1

Math Language arts Geometry K 11 Hypotenuse Leg Theorem VQJ 46 What values of x and y make AQR R Y Learn G

1x A Given that APQR is similar to APTS which statement MUST be true B mZPRQ m PTS S m PST mZQPR T