2D Geometry Questions and Answers

4 A boat sails 3 km South then 10 km Southeast Use trigonometry to find the boat s distance and bearing from its starting point 6 marks

Which trig function would you use to solve for x 40 A 19 O sin 40 O cos 40 O tan 40 19 19 19

Side 2 is adjacent to angle X 3 1 X

For each triangle check all that apply 7 Triangle A 10 Scalene Isosceles Equilateral 4 7 Triangle B 8 Scalene Isosceles Equilateral 8 18 Triangle C 18 Scalene Isosceles Equilateral 18

In ATUV TU wx Given that WT 21 VW 12 and VX 16 find XU T W V X U XU Espa ol X

3 Scale Factor Question 6 58 NOP WXY Use the dropdown menus to select the correct answer for each question W 0 N Z 4 4 49 a m X Select b m W Select c m P Select d m2Y Select 9 P 10

Starting with the graph of a basic functi

Watch help video Point G is on line segment FH Given FG 5x 2 GH 3x 1 and FH 9 determine the numerical length of FG Answer FG Submit Answer

Domain Range f 3 D 1 01 4 3 2 1 Domain Range 2 1 0 f 2 1 2 3 4 5 2 3 2 Domain Range f 2 0

The masses m are located at the points P Find the center of mass of the syste m 1 m 8 m3 6 P 2 6 P 3 7 P3 5 2 T y

Given the equation 3x 4y 4 first identify the slope 4y 4 first identify the slope Then identify the y intercept give your answer as a point x y Now drag the points on the graph to create the line for 3x 4y 4

X y 2 Given Find x and A X A ABCD EC ED 2y 10 D A D a 2x 10 A 5x 2 3 Given Rectangle ABCD AE x 2 and AC 3x 1 C E 40 x B y 10 b B C D

Find proj u and scal u by inspection without using formulas proj u Type your answer in terms of i and j COLL 10 88

www awu aleks com alekscgi x GEOMETRY Word problem involving A ladder leans against the side length of the ladder If necessa

Point Q with coordinates 4 7 is rotated 270 clockwise about 5 1 What are the coordinates of its image

side length giver The perimeter of the rectangle be Write your answer without variab

In the figure below m Find x x 0 135 to X 39 3

The figure shows parallelogram ABCD with diagonal AC Complete the two column proof to prove that opposite angles ZA Statements Quadrilateral ABCD is a parallelogram AB CD Opposite sides of a Alternate interi

What is the measure of Arc CB 60 B 84 O 60 O 90 O 67 D

f x 4x12x 5 a Express fin standard form f x b Find the vertex and x and y intercepts of F If an answer does not exist enter DINE vertex x y intercepts x y 1 x y x y 1 intercept c Sketch a graph off CO Mo Pols 41 PE smaller x value larger x value 35 20 15 Graph Layers All you d aus Graph properti

Question 6 14 3 points Consider the following measures of the segments shown in the diagram AB 6 cm DC 9 cm Figure may not be drawn to scale Determine the length of the segment AC 3 cm 3 2 cm 3 5 cm 4 cm B 9 C X

14 From the top of a 108 foot lighthouse the angle of depression of a boat at sea is 27 Find the diagonal distance from the boat to the base of the lighthouse to the nearest foot

15 A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day Find to the nearest degree the angle of elevation of the sun at this time of day

age below to answer the questions to the right E

Use the information to complete the following sentence A circle has central angle 144 and its arc length is 4 units The radius of the circle is Select One Select One 10 units 5 units 4 units 2 units

8 Use the circle to answer the following question Q to T A 106 B 123 R C 88 114 What is the value of x S 176

Use the diagram to complete the following sentence An apple pie is cut into six equal slices as shown If the diameter of the pie is ten inches the approximate arc length of one slice of pie is Select One Select One 16259 1 67 inches 3 14 inches 5 24 inches 13 08 inches

Which angle measure is equivalent to 144 A B C C 12 5 4 5 2 t 5 radians radians radians

The circle with center F is divided into sectors In cirF segment EB is a diameter The length of segment FB is 3 units E A Which of the following expressions represents the arc length of arc AED B 120 F 45 30 11 4 7 4 B 13 4

A sector of a circle has central angle 120 and radius of 6 units What is the area of the sector A 27 square units B 41 square units C 6 square units D 121 square units

Use the circle to answer the following question X A Y 80 3 cm What is the area of the shaded part of the circle 3 cm D 2 B 2 cm C 7 cm Z 3 cm

d at The displacement d of an object in a vacuum starting from rest with an acceleration a can be found using the formula above where t is the time the object has been moving A physics student uses the formula to determine the displacement of an object in a vacuum accelerating from rest for time t and an object with the same acceleration from rest for time 2 5t What is the ratio of the displacement of the object that accelerated for more time to the disploe

During his workouts Eric uses two weighted medicine balls The lighter medicine ball has a volume of 221 cubic inches The heavier medicine ball has twice the volume of the lighter one What is the radius of the heavier medicine ball Round your answer to the nearest hundredth

For the triangle shown below complete the following table A 4 B 3 Note Use slash to separate numerator and denominator sin A sin C C cos A

Find the vertex y 0 0001x 0 01 x y Find the zeros X Use the vertex and zeros to determine a range for a graphing utility that includes these y 0 04 0 02 X 0 0 0 0

Felix is designing the perfect ice cream cone He wants the diameter of the cone to be the same as the diameter of his ice cream scoop which is 3 5 inches He also wants the cone to have a volume of at least 20 cubic inches so that it holds enough ice cream What is the minimum height that Felix can use for his ice cream cone design Round your answer to the nearest hundredth incher

right triangle 21 A C Enter the ratio equivalent to sin B 20 29 B

For ZZ create trig ratios for sin cos and tan DRAG DROP THE ANSWER 9 12 15 Z sin Z 12 15 Y cos Z 9 0

Write the ratios for sin C cos C and tan C A B sin C COS C 25 Note Use slash to separate numerator and denominato tan C 24 C

A triangle with side lengths a units b units and c units is shown b Which equation is true for the triangle C A tan 55 B cos 55 C cos 55 D sin 55 a a b C b a C C 55

For each triangle check all that apply Triangle A 7 11 Scalene Isosceles Equilateral 5 60 Triangle B Scalene Isosceles Equilateral 45 Triangle C 60 60 OScalene Isosceles Equilateral 60 Triangle D 8 8 Scalene Isosceles Equilateral 14 X

Find the tangent of ZC B 70 74 A Simplify your answer and write it as a proper fraction improper fraction or whole tan C C

Solve the right triangle X Y Z Write your answers as integers or as decimals rounded to the nearest te YZ M2X

T 33 U 29 V Write your answer in simplified rationalized form Do not round sin U

Espa ol Find the perimeter of the figure below Notice that one side length is not given Assume that all intersecting sides meet at right angles Be sure to include the correct unit in your answer 11 cm 4 cm 10 cm 14 cm 5 cm 0 cm X cm cm

8 If DE 16x 3 EF 9x 11 and DF 52 find HG E H F

fDE 16x 3 EF 9x 11 and DF 52 find HG E H F

Mortgage Dectricity Car Loan A 220 00 B 190 00 Monthly Expenditures C 217 33 32 00 1200 00 100 00 26 00 What is the average monthly expenditure for electricity 225 00 August 24 00 1200 00 242 00 225 00

8 The triangles below are similar Find the value of the variable 3 points N 8 Show work 44 45 55

Find the value of x 130 89 69 X