2D Geometry Questions and Answers

1 Find the derivatives y tan x sec x 1 b y tan sec x 1

Graphs of Logarithmic Functions 5432 3 no 2 H 2 3 44 2 5 4 3 2 1 1 54 2 13 1 2 3 4 5 Formulas for the Graphs a f x log z b f x log x c f x log 2 d f x log z

U W 42 79 V Z S 100 X Y Complete the statements about circle Z A central angle such as angle angle whose vertex is whose sides are radii of the circle Angle The degree measure of an arc is measure of the central angle that intercepts it The measure of TU is degrees of circle Z is an and is not a central angle of circle Z the degree

You roll a 6 sided die What is P greater than 4 or less than 2 20 30 50

3 In the diagram AC is a tangent to the circle with center O What is the measure of X A B C

In the following diagram JL is a tangent to the circle with center O JO 34 and JK 30 L K 0

If BA is a tangent to the circle determine the value of x showing all steps of working 0 69 A B

The area of a circle is 88 cm If its radius is r cm find r correct to two decimal places Be careful not to round your answer until the very end Enter your next step here

You flip a coin twice What is the probability of getting tails and then getting tails Simplify your answer and write it as a fraction or whole numb

What is the circumference of the Ferris wheel Give your answer correct to one decimal place 8m

A health instructor surveyed all her students and tallied the results The first survey question asked Do you adhere to a vegetarian diet or omnivorous diet The second question asked Approximately how often do you exercise Daily Weekly A vegetarian diet 4 2 An omnivorous diet 3 1 What is the probability that a randomly selected student exercises weekly given that the student adheres to an omnivorous diet Simplify any fractions

1 Determine the area of the shaded region in terms of Plan Work 2

In circle P the measure of ZQPS is 15 and RQ is a diameter R P 105 T S Find the arc measures mQT MRT S MQTR lo

G C 126 H 41 FL E Which statements are correct Check all that apply Arc GF is a major arc One major arc is GHE Arc FE is a minor arc The measure of FE is 41 The measure of GCF is equal to the measure of ZGDE Arc GHE is a semicircle

Diego claims that he can tell using slopes that this que Noah looks at the slopes Diego calculated and says he could be even more specific and call it a rectangle Do you agree with either of them Explain or show your reasoning X 10 8 W 6 YA 10 8 6 4 NG 20 2 4 6 8 10 1 pt who you agree disagree with 2 4 Y 10X N

2 Create a relative frequency table using the table from 1 by filling in all joint and marginal relative frequencies Answer the questions that follow to the right Mascot Hawks Eagles Total Colors Blue Black Red Silver Total a What percent of the students prefer the Hawks and blue black for colors b What percent of the students prefer the Eagles c What percent of the students prefer the Hawks or red silver for the colors

Which equation is of a line that passes through 4 1 and is perpendicular to the line y 2x 3 Oy 2 1 Oy 1 x 4 Oy 1 2 z 4 Oy 1 1 x 4

Which circle with center U shows a central angle whose intercepted arc zy measures 58 N 58 U W 589 Z OBC V 58 U W 58 U Z

The image shows lines AB and CD Are the 2 lines parallel Explain select the sentence that best answers the question B G 2 YA S4 5 3 2 1 O 1 2 B 6 7 8 O No the slopes of the lines are not the same O Yes the slopes of the lines are not the same O No the slopes of the lines are the same OYes the slopes of the lines are the same

5 m 02 6 O 10 6 m x m x 2 m What is the value of 3x

SWYK U6L7 8 Parabolas The parabola in the image below has its focus at 2 3 and its directrix line at y 1 the point 2 6 is on the parabola Select all of the statements that are true O The equation x 2 y 3 y 1 represents the parabola O The equation x 2 y 3 y represents the parabola If point x y is on the parabola then the distance between x y and the point 2 3 is the same as the distance from x y to the x axis The point 2 6 is the same distance from 2 3 as it is from the line y 1 O The point 4 3 is on the parabola The point 1 5 5 is on the parabola

Given Circle X with radius r and circle Y with radius s Prove Circle X is similar to circle Y X Assemble the proof by dragging tiles to the Statements and Reasons columns Statements Reasons translate X to Y circle with center X has radius r Statements circle X circle Y circle with center Y has radius s Reasons dilate circle X by sir

Given the equation of the circle x y 4x 6y 3 0 On paper or with a digital writing tool 1 Rewrite the equation in standard form x h y k r 2 Determine the center of the circle and radius of the circle Upload the picture file here III

P S T R Which statement is true ON is a point of tangency on circle P O PT is a secant of circle P OSR is a secant of circle P O VU is a tangent of circle P

Find the best match for each label in the diagram Center Diameter Chord Radius

POSSIBLE POINTS 2 Given the equation of a circle x 1 y 4 25 what statements below are TRUE Select all that apply O The center of the circle is 1 4 O The center of the circle is 1 4 The radius of the circle is 25 units O The radius of the circle is 5 units O 1 10 O 5 7 is on the circle on the circle

A B Use the diagram to complete the statements This is circle If the distance from A to C is 6 units then the distance from C to B is units

please help me find the length of all sides of this kite Complete solution please thank you 5 cm C 45 45

Use addition of y coordinates to sketch the graph of the funcation y 3 3sinx between x 0 and x 4pie

Find the image of A 4 2 after it is reflected over the line y 2 then reflected over the line x 2 8 6 0 2 0 6 8 2

If T x y x 3 y 2 then T 1 x y x 3 y 2 x 3 y 2 3x 2y

RS bisects LWRV If mZWRS 5x 3 and m WRV 7x 15 find m SRV Draw a picture

What is the process used to determine if a point lies on the unit circle Use the Pythagorean theorem where c radius of the unit circle Use the ratios for the special right triangles Find the point in the Mini table Use the midpoint formula None of the choices c d e

The table below shows the amount of time a light stays green red and yellow for one cycle during the day and during the night Day Light is green 2 minutes Light is red 3 minutes 4 minutes Light is yellow 20 seconds 30 seconds Is it more likely for you to have to wait at red light during the day or at night How much more likely Night 3 minutes

8 Find xif m UOR 3x 10 mzPQU 48 and m PQR 6x 2 U P

Consider the graph and the given points A 5 6 B 5 2 Step 2 of 3 Find the y intercept if there is one Enter your answer as an ordered pair 10 rrect 5 Enable Zoom Pan 10

Given that f x sin x g x cos x h x tan x F x csc x G x sec x and H x cotx 7T 4 7T b Find F What point is on the graph of F 4 c Find H 120 What point is on the graph of H a Find g What point is on the graph of g 7x a g 4 Type an exact answer using radicals as needed 1 2 The point on the graph of g b F 1 2 Type an exact answer using radicals as needed Type an integer or a fraction 7x 4 7 4 is The point on the graph of F 7x 2 4 Type an exact answer using radicals as needed 75 S is 2 4 4 Type an exact answer using radicals as needed Type an integer or a fraction 7t c H 120 Type an exact answer using radicals as needed

Consider the graph and the given points Step 1 of 3 Find the slope 10 Correct A 5 6 B 5 2 107 Enable Zoom Pan

If f x csc x and f a 13 find the exact value of the following a f a b f a f a 2x f a 4x a f a Simplify your answer Use integers or fractions for any numbers in the expression

Osman broke the unusually shaped window in his parent s living room The figure shows the dimensions of the window Replacing the glass costs 8 per square foot What is the cost Round to the nearest dollar 5 ft 4 ft

You are playing Monopoly with a friend She owns and has developed Park Place and Boardwalk with hotels If you roll an 8 you will land on Park Place and owe her 1500 You will be able to pay but you will not have money left afterward If you roll a 9 you will land on Luxury Tax and have to pay 75 If you roll a 10 you will land on Boardwalk and owe her 2000 which is more than you can pay and lose the game If you roll a 7 or less you will not have to pay any money to anyone Your friend offers you insurance Pay her 500 before you roll and even if you land on Boardwalk or Park Place you will not have to pay any additional money However if you roll a 7 you will have to pay her 1000 Use probabilities to find expected values Then compare the amount of money you should expect to pay out on average under her insurance and by chance Is her deal fair

Consider the following y intercept and slope 0 2 m 2 Step 2 of 2 Determine the graph of the line with the given y intercept and slope Answer Keybo The point given for the y intercept 0 2 is marked on the graph Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a pa Enable Zoom Pan 102

Which of the following graphs shows the Blue line translated 3 in the x direction and 2 in the y direction Select one O 5 O 5 5 S 0 5 5

2 E U19 8m 12 in 6 m 6 in 6 m Perimeter Perimeter Area Are

using the intercept method find all real solutions to the equation x 3 4x 3 x 2 2

5 Formula for area of a parallelogram Formula for area of a trapezoid 6 What is the shape below Formula for area of a triangle 8 cm Formula for area of a rhombus Find its area be sure to label your answer 16 cm

The numbers 1 through 15 are written on cards One card is chosen at random Event A is choosing a multiple of 5 Event B is choose an even number What is the probability of choosing an odd number 1 15 3 5 4 5 OLAF

Determine if the scenario involves overlapping events A six sided die is rolled A number less than 4 or a number greater than 4 is rolled O Overlapping O Not Overlapping

or school performance a researcher collected data from 120 students The two way frequency table shows the number of students who passed and failed an exam and the number of students who got more or less than 6 hours of sleep the night before The results are shown in the table below Less than 6 hours of sleep More than 6 hours of sleep Total Question 1 50 Passed Exam Failed Exam Question 2 12 90 102 10 8 18 Total 22 98 120 To the nearest percent what is the probability that a student who failed the exam got less than 6 hours of sleep Do NOT include the percent symbol 0 2 pts 0 2 pts To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the

G is an enlargement of G Find the centre 0 0 scale factor 5T 5 5 G G 5