Geometry Questions

f x 4x 8x Does the parabola defined by f open upward or downward Downward Upward Determine the vertex in x y form of the parabola defined by f Determine the y intercept in x y form of the parabola defined by f Determine the x intercept s in x y form of the parabola defined by f If multiple x intercepts exist enter the solutions using a comma separated list If no x intercepts exist enter DNE Determine the axis of symmetry of the parabola defined by f

For each relation decide whether or not it is a function Domain paper moon chair pen Relation 1 Function Not a function Range Function Not a function 8 Relation 3 s s s k s n s d Domain 8 8 0 2 6 Function Not a function Relation 2 Function Not a function Fange 0 3 9 7 5 Relation 4 9 t 6 z 2 k 2 j

Question Solve for x Figures are not necessarily drawn to scale Answer C 3 F 2 D E 3 2 B X W

apostatized converted from our holy Catholle faith the great cause of which was interaction between the Jews and these Christians we know that the true remedy for all these injuries and inconveniences was to prohibit all interaction between the said Jews and Christians and banish them Jews from all our kingdoms we desired to content ourselves by commanding them to leave all cities towns and villages of Andalusia where it appears that they have done the greatest injury We resolve to order the said Jews and Jewesses of our kingdoms to depart and never to return or come back And concerning this we command we order all Jews and Jewesses of whatever age they may be who live reside and exist in our said kingdoms depart from all of these our said realms and they shall not dare to return to those places nor to reside in them nor to live in any part of them under pain that if they do not perform and comply with this command they incur the penalty of death and the confiscation of all their possessions by our Chamber of Finance incurring these penalties by the act itself without further trial santence or declaration The Alhambra Edict 1492 32 This order reflects the idea of which time in history 1 Point The Protestant Refomation The Renaissance The Spanish inquisition The Black Death 33 What does the order command of the Jews 1 Point They have to convert to Catholm They will be kiled They have to leave the country They have to pay a fine This question is required 34 According to the document what actions did wicked Christians take that must be stopped 1 Point Enter your answer 35 According to the document what happens to the Jews who refuse the commands of the order 1 Point

Use angle identities to find the following solutions Assume theta is in the second quadrant v111 Use angle fucntities to me 3 cos COS A S

12 pts Solve the equation below twice once using factoring and once using the quadratic formula Find the radian solutions on the interval 0 2m If possible give exact answers Otherwise round answers to 4 decimal places 3 tan T tan z 2

Use the following graph to find the slope of the line 4 3 2 1 4 3 2 1 0 1 i 2 3 a by intercept maslope 2 3 4 rise rurys 5

Find a formula for each of the following transformations a 5 4 3 2 1 y 5 4 3 2 b 1 2 3 T 5 5 4 3 2 1 5 4 3 2 2 3 5

2 5 2 1 1 2 3 5 2 Identify the function whose graph appears above f x la

ASTU APQR Find PQ and SU T Q S 6 9 14 Write your answers as decimals or whole numbers PQ SU G 14 14

Suppose the graphs of y 2x 10x 7 and y a 15x 992 d intersect at x 5 Find all intersection points Enter your answer s as ordered pairs separated by commas 27

Part C Determine whether side angle angle SAA is a valid means for establishing triangle congruence In this case you know the measure of a side an adjacent angle and the angle opposite to the side If it is a valid criterion explain why If it is not valid use GeoGebra to create a counterexample demonstrating that it doesn t work and give an explanation If you construct a counterexample take a screenshot of your work save it and insert the image in the space below BIUX X 15px AVA EEF

y cos 3x 2 The X coordinates of the five keys points ar

Question 1 Question Write a function to represent the point x y being translated of 3 units to the right and 2 units down Type the correct answer in the box O d va 4 VI A R a B C9 AHPO sin cos tan sin costan csc sec cot log logg in 1 a N ANE D 88

A 6 foot tall person walks away from a 12 foot tall lamppost at a constant rate of 3 feet per second a What is the rate that the tip of the shadow moves away from the person when the person is 4 feet away from the pole b What is the rate that the tip of the shadow moves away from the lamppost when the person is 4 feet away from the pole ft sec help numbers ft sec help numbers

The point x y is first rotated 180 clockwise about the origin translated 6 units to the left and then reflected across the line y z Write a function S to represent the sequence of transformations applied to the point x y O 0 00 VO 4 S x y 71 a t sin cos tan sin costan APP csc sec cot log logg In ZAN E U

Create a function to represent the point x y being reflected across the y axis F x y y X T

Martina is planning to texture coat a building whose dimensions are shown below The front of the building has a window measuring 4 ft by 30 in and a door measuring 40 in by 6 ft The left and right sides of the building each have a window measuring 20 ft by 4 ft The back of the building has no window or door Use the given information to answer the questions Each tab shows a different view of the building a Assuming the roof windows and door require no texture coat what is the area in square feet that needs texture coat Do not round any intermediate computations and give your answer as a whole number ft Conversion facts for length 1 foot ft 12 inches 1 yard yd 1 yard yd 36 QUECER ght view00000 b Martina will use texture coat that is sold in cans Each can contains enough texture coat to cover 130 ft Assume Martina doesn t have any texture coat yet and she can t buy partial cans How many cans will she need to buy in order to texture coat the building cans c If each can costs 12 50 how much will Martina need to spend on texture coat 3 feet 18 ft in Back left view 10 ft 28 ft

A biking track has a length of 0 35 miles mi How long is this in feet 1 P First fill in the blank on the left side of the equation using one of the ratios Then write your answer on the right side of the equation Ratios 1 mi 1760 yd 0 35 mi 1760 yd 1 mi 1 yd 36 in 36 in 1 yd 5280 A 1 mi 5280 A 00000000000 yd E In 00000000000 mi

Tom wants to plant grass in his backyard His backyard is in the shape of a rectangle Its length is 27 feet and its width is 26 feet Suppose each pack of seed covers 13 square feet How many packs of seed will he need to cover the backyard packs

Milan is ordering 3 bags of cat food from Canada Each bag has a mass of 5 kg To determine the shipping costs Milan needs to ow the total weigh pounds What is the weight of the cat food in pounds Use 1 kg 2 2 lb and do not round any computations lb X 00000

A board is 29 inches long How long is the board in centimeters Use the following conversion 1 inch is 2 54 centim cm X

Use the diagram to answer the following question EQ b QE Z What is another name for EQ a O A OB O C OD te C NE d NQ

Find the value of the variable and YZ if Y is between X and Z XY 2c 1 YZ 6c and XZ 81 Just find the length of YZ

Find the distance between the pair of points shown below Round your answer to the nearest tenth if necessary 09 2 6 07 1 O2 9

m 1 and m 3 m 2 and m 3 m 4 and m 5 m 5 and m 8 IIII I I

The endpoints of GH are a 6 2 b 6 6 O A OB OC OD G 0 4 and H 6 2 Find the coordinates of the midpoint M C c 3 1 d 3 3 C C 5

A 1 15kg ball is connected by means of two massless strings to a vertical rotating rod The strings are tied to the rod and form two sides of an equilateral triangle The tension in the upper string is 55 8N String length L Rotating rod If the length of each string is 1 63m what is the tension in the lower string Submit Answer Tries 0 10 od of the ball

uno DA C If BC bisects LABD and mLABC 51 find mLABD and mZCBD B m ABD m CBD

oundations of G figure below is a rectangular shipping box Name two different planes B D E G H A plane CDA plane CDG plane AED plane BEF one CDG plane AED CDA plane BEF

Find the length of segment XY X nswer 6 6 Z 12

2 The Great Pyramid outside Cairo Egypt has a square base measuring 756 feet on a side and a height of 480 feet a 3 pts What is the volume of the Great Pyramid in cubic yards Work 2 pts Replace these words with a cropped picture of your work for question 2a only Answer 0 5 pt Reasoning Explanation 0 5 pt X b 2 pts The stones used to build the Great Pyramid were limestone blocks with an average volume of 1 5 cubic yards Assuming a solid pyramid how many of these blocks were needed to construct the Great Pyramid

You must use the conversion factors provided below when solving these problems 1 yd 3 feet 36 inches 1 ft 12 inches 1 mile 5280 ft Answer 1 pt Conversion Factors 1 m 100 cm 1000 mm 1 km 1000 m 1 mile 1 6 km 1 yd 0 9 m 1 in 2 54 cm 1 lb 0 45 km 1 5 pts A rectangular swimming pool measures 14 feet by 30 feet The pool is surrounded on all four sides by a path that is 3 feet wide If the cost to resurface the path is 2 per square foot what is the total cost of resurfacing the path Work 3 pts I Replace these words with a cropped picture of your work for question 1 only

Question 8 of 12 O O 20 15 Which statement is true about this regression By f 66 By f 66 Population in Thousands 40 f x 2 28e 5 0 04 0 85 Number of Years Since 1900 45 50 55 60 65 2018 WGU Powered by GeoGebra By f 66 31 95 it can be estimated that the city had approximately 31 950 residents in 1966 This is an extrapolation By f 66 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an extrapolation 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an interpolation 310

Given the figure below find the values of x and z 12x 59 13x 57

A rectangular box meets the following criteria All lengths are measured in feet The length is twice as long as the width The height is 1 foot shorter than the length The volume of the box is 147 ft Find the dimensions of the box width W length L height H feet feet feet

Assume t is defined for all time Enter the letter of the graph below which corresponds to the curve traced by the parametric equations Think about the range of x and y and whether there is periodicity and or symmetry 1 x 6 cos t cos 4 5t y 6 sin t 2 x sin t 3 2 sin t 3 x cos t y sin t 1 t 4 x sin t sin 7t y cos t 5 x t sin 5t y t cos 5t A sin 4 5t y cos t 3 2 sin t B C D E

The following parametric equations trace out a loop Find the t values at which the curve intersects itself t Find the x and y values of the intersection Y 8 t y 4t 2 Graph the curve on a calculator Turn in a sketch of the curve

Certain positive angles are marked in the given figure Find the corresponding radian or degrees measures 60 3 radians C Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 2x radians 120 3 Simplify your answer Do not include the degree symbol in your answer 3x radians 135 4 Simplify your answer Do not include the degree symbol in your answer 5x 150 radians 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 180 radians Simplify your answer Type an exact answer using a as needed Use integers or fractions for any numbers in the expression 210 radians 7x 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 225 radians implify your answer Type an exact answer using as needed Use integers or fractions for any 3x 4 2x 3 radians radians 150 180 210 225 Points 0 54 of 1 3 radians 3x 2 90 2 radians 60 4 radians 270 5x 3 radians 30 10 0 radians 330 315 radians O Q S

The length and width of a 6 inch by 8 inch photograph are reduced by the same amount to make a new photograph with area that is half that of the original By how many inches will the dimensions of the photograph have to be reduced Which equation can be used to solve the problem O x 6 x 8 24 O 6 x 8 x 24 O 6 x 8 x 96 O x 6 x 8 48

DEH is adjacent to HEG DEG IS 106 And LHEGIS 55 Find the measure of DEH

approximation to three decimal places b 1 c 24 The exact value of a is The exact value of b is The exact value of c is G C 100002 20 b C 720 API

Activity In this activity you will use the GeoGebra geometry tool to explore the side side side criterion for triangle congruence If you need help watch these short videos about using GeoGebra to measure and create points lines and angles C Part A Create a triangle using the vertices A 4 3 B S 2 and C 2 6 Measure the lengths of all three sides on the triangle using the distance tool and record them in the table BIY X X 14pt Bwww Side Length AB BC AC Space used includes formatting 560 15000 EFFE Part B Keep the triangle that you created in part A You will now copy the triangle to a different location on the grid using three of its sides Submit In a different place on the grid draw a new line segment that is parallel to and has the same length as AB Label this segment DD Next copy AC and BC A reliable way to do this is to draw a circle centered on each endpoint of your new line segment Make the radius of each circle equal to each of the lengths of the two remaining line segments on the original triangle One of the intersection points of the two circles marks the third vertex of your new triangle Place a point on the intersection and label the point F Finish copying the triangle by drawing a polygon through the three points that you ve established BIY X X 15px You should now have two triangles on the grid What do you notice about the two triangles in terms of their size and shape V AVA EF a 8

Draw a dilation of the figure using the given scale factor 15 k 2 C 2 y A B 16 k C AY B

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement Then find its scale factor 5 7 A A VBI y B k x y k H SIA 6 8 A 6 B y A k B 6 x k the dile

A line segment has the given endpoints Use the scale factor to write the ordered pairs after the dilation 12 A 1 1 B 3 1 and k 2 13 A 4 4 B 8 12 and k 14 A 0 0 B 3 2 and k 5

Point A is a vertex of a polygon Point R is the image of A after the dilation Find the scale factor of the dilation 11 A 2 3 and R 10 15 9 A 3 4 and R 9 12 10 A 9 12 and R 6 8

Name Dilations Worksheet State whether a dilation with the given scale factor is a reduction or an enlargement 1 k 3 2 k 1 3 N 3 k 5 4 4 k 0 93

In a plane if two lines are perpendicular to the same line then they are parallel to each other Show that this is true by completing a two column proof Given 11n min Prove 1 m Statements In min 2 and c6 are right angles 42 90 M46 90 M M 6 Reasons 1 Given 2 Def of perp line I Def of right angles Def of congruent s 5 Converse of corresponding 25 thm 12 43

Question 14 Find the point at which the line f x x 6 intersects the line g x Question Help Video Message instructor 3x 6