Geometry Questions

26 A prism with a hexagonal base 27 Circle R with an arc AB measuring 45

11 2 3 4 5 If the sum of the measures of two angles is 90 then the two angles are complementary A chord of a circle is a segment with both endpoints on the circle An acute angle is an angle whose measure is less than 90 The three basic building blocks undefined terms of geometry are planes points and lines A scalene triangle is a triangle with two sides the same length

31 32 33 Find the coordinates to endpoint P given the coordinates 11 10 for endpoint Y and given the coordinates 3 9 for the midpoint 030 AS Name a physical object in the world around us that represents concentric circles Solve for the measure of angle A below A x 44 55

35 What is the measure of the obtuse angle below 4x 45 5x 18

34 What is the perimeter of the triangle below Trions elgnala Brigh

6 7 8 9 10 A parallelogram is a quadrilateral with all the angles equal in measure If the measure of ZD is 77 then the reflex measure of ZD is 103 The ray from point L through point M is named as LM The length of line segment PQ is named as PQ The vertex of angle RST is point S to this

Sketch mark and label each figure 23 Rhombus RHOM with RO 1 HM 101 101 ontneg 24 Circle Q with diameter AB and tangent AT 25 An octagon OCTAGNUS with vertices S C A and N joined to form trapezoid SCAN su that SC I NA

16 Draw 3 different isosceles triangles below each with the same perimeter of 6x

Match each term at left with its figure at right 18 Right scalene triangle 19 20 Acute isosceles triangle 22 de Heptagon 21 Pyramid Prism ptomesng to tzaner for a b C d 250 e f h 140

Tell whether each statement is true or false 1 2 3 4 5 A polygon with ten sides is called a dodecagon If AB intersects CD at point P then ZAPC and LBPD form a linear pair of angles Point P is between points A and B and also between points C and D A rhombus is a quadrilateral that has exactly one pair of parallel sides If two lines do not intersect then they are not necessarily parallel A diagonal is a line segment in a polygon connecting any two vertices

Find the value of x using the figure shown to the right The value of x is Simplify your answer Do not include the degree symbol in your answer 5 x 7

11 Using the cumulative frequency distribution below select the appropriate description of the distribution of weight Cumulative Frequency Weight lbs 101 120 121 140 141 160 161 180 181 200 Uniform Bell shaped O Skewed Right Skewed Left Previous Answer C 2 5 10 18 26

Select the correct answer from each drop down menu 8 A D 6 B A B y axis y x C N D y 6 2 2 Polygon ABCD goes through a sequence of rigid transformations to form polygon A B C D The sequence of transformations inve reflection across the followed by a reflection across the line Reset Next

How does the figure help verify the triangle inequality theorem to 15 A OA by showing that a triangle cannot be formed when the sum of the lengths of two sides equals the length of the third OB by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third OC by showing that only one triangle can be formed when the sum of the lengths of two sides is less than the length of the t OD by showing that only one triangle can be formed when the sum of the lengths of two sides equals the length of the third

Select the correct answer from each drop down menu A U The pair of triangles that are congruent by the ASA criterion is The pair of triangles that are congruent by the SAS criterion is F 5 S EN AD R 5 triangle BAC and triangle UTS triangle BAC and triangle RQP triangle PQR and triangle STU triangle BAC and triangle XYZ

What single transformation maps AABC onto AA B C A C B B C A 2 0 3 O A rotation 90 clockwise about the origin OB OC O D 0 rotation 90 counterclockwise about the origin reflection across the x axis reflection across the line y x X

Based on these segment lengths which group of segments can form a triangle OA 3 10 14 OB 8 7 13 OC OD 3 2 5 20 7 13

Enter the correct answer in the box A triangle has side lengths of 200 units and 300 units Write a compound inequality for the range of the possible lengths for the third side x 0 101 d FE sin COS tan

A building has a triangular rooftop terrace which is modeled by triangle ABC In triangle ABC the measure of ZA is 55 the measure of ZB is 65 and the measure of ZC is 60 Which side of the terrace has the greatest length O A BC OB AB OC AC O D Cannot be determined

Type the correct answer in the box In triangle ABC which side is the longest if these are the measures of the angles mzA 60 mzB 3x 2 mzC 2x 7 Side is the longest side

Drag the image to the correct location Not all tiles will be used Triangle ABC is rotated 90 clockwise about point P to create triangle DEF Determine the correct orientation and location of triangle DEF AVA F W B E D F P

9 5 x y46 7 y 5 9 3x y 0 M 10 8 6 4x 5y 5 8 3x 2y 210 10 4x y 3 30 zoom in 9 10 7 0 5 IS A SOLUTION TO THIS INEQUALITY True False 8 2 2 IS A SOLUTION TO THIS INEQUALITY True 1

A farmer wants to make a rectangular field with a total area of 4000 square meters It is surrounded by a fence It is divided into 3 equal areas by fences as shown fence x fence 30 fence fence fence fence Express the total length L of all the fence required in terms of the length x of one of the fences which divide the field L x

3 3 72 5 Type here to search 4 4 5x 2ys10 O ii O 3 4 4 2 4 5 3 5 0 0 4 6

Algebra Prep 2023 Verify Solutions Linear Inequality Determine which point or points are solutions of each linear inequality given 1 1 x y2 3 2 3x Sy 10 2 LLC ALEVIK zoom in 2 A 3 2 4 5 4 2

2 If m29 97 and m 12 114 find the measure of each missing angle a m2i f mz6 b m 2 9 m4 c m23 h m28 d m 4 1 M210 e mz5 1m 11 1 2 3 5 6 910 13 14 8 11 12 15 16 k m 13 1 m 14 m m 15 n m 16

If m28 23 find the measure of each missing angle Give your reasoning 4 F 5 6 3 a m 1 b m22 c m3 d m 4 e m 5 f m 6 9 m4

1 49 3x 7x 23 11y 1 m

5x 7 8x 71 m

Find the value of x If necessary you may learn what the markings on a figure indicate X 0 X 23 S

yards long What is the length of Jacob s land in the drawing 3 A scale drawing of a basketball court has a scale of 1 inch 9 feet The basketball court is 94 feet by 50 feet Find the dimensions of the court in the drawing VLength and width 6 The scale on a set of blueprints of a house is 1 in 3 ft On the blueprint one of the bedrooms measures 3 75 in wide and 4 5 in long What is the perimeter of the actual bedroom 7 Jill s room is 12 5 feet long and 11 5 feet wide She made a scale drawing of the room with a scale of 0 5 inch 2 feet What is the perimeter of Jill s room in the drawing

Title Construct a triangle given that the perimeter is 115 mm the altitude is 40 mm and the vertical Description Construct a triangle given that the perimeter is 115 mm the altitude is 40 mm and the vertical angle is 45 Construct a triangle with a base measuring 62 mm an altitude of 50 mm and a vertical angle of 60 Now draw a similar triangle with a perimeter of 250 mm Title Construct a triangle given that the perimeter is 115 mm the altitude is 40 mm and the vertical Description Construct a triangle given that the perimeter is 115 mm the altitude is 40 mm and the vertical angle is 45 Construct a triangle with a base measuring 62 mm an altitude of 50 mm and a vertical angle of 60 Now draw a similar triangle with a perimeter of 250 mm

Solve each triangle ABC that exists A 36 1 a 3 1 c 10 7 Select the correct choice below and if necessary fill in the answer boxes within the choice O A There is only one possible solution for the triangle The measurements for the remaining angles B and C and side b are as follows B c b Round to the nearest tenth as needed OB There are two possible solutions for the triangle The measurements for the solution with the longer side b are as follows B 1 C b The measurements for the solution with the shorter side b are as follows B C Round to the nearest tenth as needed O C There are no possible solutions for the triangle

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