Geometry Questions

Find an equation for a parabola with vertex 1 3 and focus 1 3

Find the central angle which subtends an arc of length 2 centimeters of a circle of radius 12 centimete 0 radians Type on intogor

Sketch a graph of y 2 7 6 5 4 3 Clear All Draw 6 54321 4 5 6 7 x 1 4 1 1 2 3 4 5 6 7 no XX

Prepare a hand drawn plot of the two variables using the grid sheet in the lab manual or other graph paper a Include a title axis labels with units and a trendline 1pts b Estimate the circumference in centimeters of a circle with a diameter of 3 80 cm Circumference cm 1 pts c Estimate the diameter in centimeters of a circle with a circumference of 4 02 in Diameter cm

Dmitry and Sofie were converting the rectangular equation x y 5y 3 to polar form They each take a different approach for the first step and ask you if they are correct Dmitry x y 5y 3 r 5 sin0 3 You conclude Sofie x y 5y 3 r cos 0 r sin 0 5 rsin 3 correct because you remember that is true

The point in the graph below represents 4 2 To O 11 2

Select the statements that are true Select one or more O a There are infinitely many ways to represent a point in rectangular coordinates O b There are infinitely many ways to represent a point in polar coordinates OC In polar coordinates y is a function of x Od All polar equations are functions

When graphing the polar equation r 4 sin 60 as approaches from 0 the radius changes from to

Given 2 what is the y coordinate of the corresponding rectangular coordinate

When graphing r 9 sin 30 use mulitples sin 30 0 on the interval as the key points of interest

Given the rectangular equation 3x2 2y 18 Choose the correct first step s in converting this to polar form Select one or more Oa None of these O b O c O d 3rcos 2rsing 81 3 3 rcos 2 2rsin 9

Convert the polar equation to a rectangular equation r 3cos sin Select one O a None of the above O b x 3x y y 0 O c x 3x y y 0 O d x 3x y y 0

When graphing the polar equation r 6 sin 60 as moves from O to radius changes from 0 to

Which of the following is NOT a true statement Select one O a In the polar coordinate r r is the distance from the origin O b A polar coordinate can be converted to a rectangular coordinate using r and sine and cosine OC A polar coordinate is represented by r Where r is the distance from the origin and is the angle measured the x axis moving counterclockwise Od In the Polar coordinate r is the angle measured from the x axis moving counterclockwise

The point F in the graph has the coordinates S

Given the points below if A is r then the polar opposite would be Select one or more O a 0 r O b x y O C r

The point in the graph below represents 2

2 Anton will be constructing a segment bisector with a compass and straightedge while Maxim will be constructing an angle bisector with a compass and straightedge Describe the similarities and differences between their construction steps

The equation for line s can be written as y x 4 Line t which is parallel to line s includes the point 3 2 What is the equation of line t Ver en espa ol Write the equation in slope intercept form Write the numbers in the equation as simplified proper fractions improper fractions or integers pla

1 2 3 Graph the function h x 2x 1 4 5 6 X

1 Tie 2 Graph the function h x 2x 1 6 3 Co 6 4

EDis a secant BCis tangent to circle A at point B E A b B D a C If b 45 and c 4 then a C units

For problems 8 10 solve the triangles Round to the nearest tenth 67 V 49 50ft

Prove the identity Cos Statement sill Note that each Statement must be based on a Rule chosen from the Rule menu To see a detailed description of a Rule select the More Information Button to the right of the Rule Validate COEX sil Rule Select Rule 3 0 J X 0 6 3

latch the equation with the surface it defines Also identify the surface by type paraboloid ellipsoid etc 4z x Which graph below shows the surface OA OA Ellipsoid OB Elliptical cone OC Paraboloid OD Hyperboliod OB O C

nd the component form of the unit vector obtained by rotating the vector 0 1 210 counterclockwise about the origin Choose the correct answer below OA 2 2 OC 1 OE 2 2 2 2 2 2 OB OD OF 1 2 2 2 2 3 2 1 31 22

eltaMath Back New Problem Show Solution Ms Bodner Simplifying Fractions Jul 17 2 11 21 PM Simplify the following fraction 3 Answer rogress Submit Answer Report Bug 05 23 75 100 75 1 3 5 15 25 25 100 1 2 420 225 50 100 75 100 3 4 01 13 13 15 20 11 21 90 21 1 3 90 on I 4 8 7 21

Watch help video Solve for 2 Round to the nearest tenth if necessary 48

Match each symbol to the corresponding vocab words from set theory CCB a Intersection An B AUB AC b Union c Subset d Complement

Set A is the set of factors of 24 set B is the set of even natural numbers less than 25 and set C is t set of even natural numbers less than 13 The universal set U is the set of natural numbers less than 24 Use the sets given below to answer questions a g A 1 2 3 4 6 8 12 24 B 2 4 6 8 10 12 14 16 18 20 22 24 C 2 4 6 8 10 12 U 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 What is An B

Use the complement of calculate the indicated probabilities One pile of cards contains the number 2 through 6 in red hearts A second pile of cards contains the numbers 4 through 8 in black spades Each pile of cards has been randomly shuffled If one card from each pile is chosen at the same time what is the probability that the sum will be less than 12

The numbers 1 through 30 are written on slips of paper that are then placed in a hat Students draw a slip to determine the order in which they will give an oral report Event A is being one of the first 10 students to give their report Event B is picking a multiple of 6 If you pick first calculate each of the indicated probabilities P A

If the radius of a circle is 6 Inches then the area of a sector bounded by a 100 arc is Round the answer to the nearest tenth of a square Inch square inches

Terrance wants to determine the height z of a nearby tree He stands 29 feet from the base of the tree The measure of the angle of elevation from Terrance s feet to the top of the tree is 53 Select all of the following that can be used to find the height of the tree x 29 sin 531 A B C D E F I E 29 sin 37 29 cos 53 29 cos 37 x 29 tan 531 P 29 tan 37 A

20 The given cylindrical container is used to fill the fish tank a rectangular prism with water 3 in 8 in 24 in containers 24 in 12 in What is the least number of full cylindrical containers needed to completely fill the fish tank

16 Determine whether the triangles are similar A 12 64 B 16 A The triangles are not similar B The triangles are similar by AA similarity The triangles are similar by SAS similarity D The triangles are similar by AAS similarity D 9 64 C EA 12 F

13 Examine parallelogram QUAD below D 6x 12 Q B x 11 Select all of the following values that are correct A2 13 cm Q 114 D m U 54 E mZA 126 F m D m D 66 52 1 A U

5 Find the value of a that makes AOLD AAGE E x A 3x 5 58 D 2 36 x 15 L G

Use the figure below to find RT M RT 4x 1 A R 3x 3 T

Order the side lengths of the triangle from shortest top to longest bottom A E 40 11 AB BC B 50 C

Which additional Information would be necessary to prove that ATOY ACAR using the Side Angle Side Congruence Thec Y T 2T LC B ZY ZR TY CR OY AR A C R

15 As modeled below a movie is projected onto a large outdoor screen The bottom of the 60 foot tall screen is 12 feet off the ground The projector sits on the ground at a horizontal distance of 75 feet from the screen 60 12 75 0 Determine and state to the nearest tenth of a degree the measure of 8 the projection

9 B 7x 1 Select all that apply A m BAC 62 A C D Using the figure above which of the following angle measures are correct Bm ABC 61 D cm BCA 48 9x 11 m BCD 132 14x 6

8 00 APIG shown below undergoes a dilation by a scale factor of through a center point at the origin to produce AP I G 6 5 PI G 8 16 7 1054 6 10 W t 0 1 2 3 4 5 6 7 8 x 23 2 3 4 5 567 8 Select all of the statements that are true A P 2 1 BI 0 0 CG 1 3

D O O 4 D G 84 7 6 6543 2 y 3210 1 2 3 4 5 6 7 8 x 2 3 5 6 7 8 What are the coordinates of D O and G

Lines a and b are parallel Both lines are intersected by transversal p as shown in the Image below What is the value of T 7x 2 4x 9 b

7 Is reflected over the line y a to produce 8 76 N 8 7 64 5 43 2 He 2010 10 1 2 3 4 5 6 7 8 x 4 3 4 in 6 5 y 6 7 8 T What will be the coordinates of N A 5 3 B 5 3 C 3 5

16x 8 B m BAT m CAT A degrees T 4x 8 C degrees own below

4 Given 22 23 and 24 25 Prove 21 25 1 2 3 Fill in the missing proof reasons using the drag and drop responses below 4 5 Statement 22 23 21 22 21 23 24 25 5 23 24 Reason Given Transitive Property of Congruence Vertical angles are congruent DRAG DROP THE ANSWER Given Vertical angles are congruent Supplementary angles are congruent Transitive Property of Congruence Reflexive Property of Congruence XE

6 As modeled below a projector mounted on a ceiling is 3 74 m from a wall where a whiteboard is displayed The vertical distance from the ceiling to the top of the whiteboard is 0 41 m and the height of the whiteboard is 1 17 m 3 74 m 0 41 m 1 17 m Determine and state the projection angle to the nearest tenth of a degree