Geometry Questions

6 ft 14 ft 14 ft 14

Find the total surface area of the composite figure 7 4 ft 14 ft 8 ft 12 ft 8 ft

7 660 9 260 Find the reference angle create a triangle and find all angles of the triangle 10 11 12 215 8 105 100 13 340 690

Graph the system of inequalities y x 9 y x 3 Use the graphing tool to graph the system Click to enlarge graph 10 8 6 2 70 v 8 6 4 2 2 64 8 10

Problem 3 A aluminum cylindrical can is being designed to hold a volume of 100 cubic centimeters a Find a formula for the volume of the can in terms of the radius and height of the can b Write a formula for a functions S that models the surface area for the can in terms of the radius only c Suppose the radius is 2 cm evaluate the surface area of the aluminum can Interpret your result d Find the dimensions radius and height that result in the least amount of aluminum used to construct the can to hold a volume of 100 cubic centimeters

Concentration mg ml Tollowing chart Protein Charts A595 y 1 8812x 0 1309 R 0 9758 Protein Charts Linear Protein Charts 26 Is this standard curve appropriate to use Why or why not

Complete the square to find the vertex of the parabola y 5x2 4x 4 Enter your answer as a point h k including parentheses The vertex is at the point

Consider the function y 2 arcsin x a Use a graphing utility to complete the table Round your answers to four decimal places 1 0 8 0 6 0 4 X Y X Y 0 0 2 0 4 0 6 b Plot the points from the table in part a and graph the function Do not use a graphing utility 2 0 2 0 8 1

The tallest television transmitting tower in the world is in North Dakota and it is 2059 feet tall If you are on level ground exactly 5280 feet one mile from the base of the tower what is your angle of elevation looking up at the top of the tower Give your answer in degrees Oa 68 7 Ob 23 0 Od 68 1 Od 21 3

Solve the right triangle shown in the figure A B C a b C 56 10 B h

The sonar of a navy cruiser detects a submarine that is r 3600 feet from the cruiser The angle between the water level and the submarine is 0 29 5 How deep is the submarine ft

The point is on the terminal side of an angle in standard position Determine the exact values of the six trigonometric functions of the angle 20 21 sin 0 cos 0 tan 0 csc 0 sec 0 cot 0 SE

What are the dimensions of the conference room in this floor plan Office Building Floor Plan Conference Room 12x12 12x5 12x12 12 36 12x8 12x12 12x12 12x12 48

Purpose to help you create visual study aids to help you and your classmates develop study methods and compare the concepts in the Unit 7 Objectives For example EE 3 create a concept map double bubble map Venn diagram or compare contrast table draw 2 or more pathways in a way that helps you see similarities and differences make 2 or more drawings or models to show how parts of blood are similar and different Do not post or recreate a picture or resource you found on the internet the optional course materials or another source This will result in zero points

28 29 30 Write a definition for a linear pair of angles Write a definition for a diameter of a circle Locate point C below so that A ABC is an isosceles right triangle AB dal B Swalen 101 8164 8 co Gy EN 4 6 6810

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

In addition to the facts in the diagram which other statements are necessary to prove that AABC is congruent to AEFG by the ASA criterion O A W i and iii only OB i only OC iii or v only OD I or iv only 2 B 3 Reset LL 2 C i mzB mzF ii BC FG iii mzA mZE iv FG 3 v mzB mZE Next E G

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

Which sentence best explains why shape 1 and shape 2 are not congruent 16 14 12 10 8 6 4 2 0 2 shape 1 4 6 T 8 shape 2 10 12 O A Not all corresponding pairs of sides on the two shapes are parallel OB There is no sequence of rigid transformations that will map shape 1 onto shape 2 OC Shape 1 cannot be mapped onto shape 2 using a reflection O D Shape 1 cannot be mapped onto shape 2 using a dilation OE Not all corresponding pairs of sides on the two shapes are perpendicular 14 16

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