2D Geometry Questions and Answers

Which of the following formula is used to find the distance between the points X y and x2 Y on the coordinate plane O x O x y y x1 O x x y y x x Y Y x2 x1 Y Y Complete Later Complete

3 Graph the following and identify the shape too x 49y 6x 40 0 a b 4x 9y 12x 18y 18 0 c x y 6x 2y 8 0 d 5x 3y 10x 24y 73 0

d the equation of the exponential function whose graph is shown below 21 14

How is log 728 written in terms of natural logarithms using the change of base theorem The logarithm log 728 can be written in terms of natural logarithms as

6 5 4 3 2 3 2 ON 3 6 2 3 De 5 a The graph above is a graph of what function

Write the vector in the form a b u 70 X The vector is

Question 24 Points 1 Which of the following equations represents the standard equation of a circle O x h y k O x h y k O x h y k O 2 x h y k

Question 23 Points 1 Which of the following equations shows the equation of a circle with radius of 1 unit and center at 9 4 O x 9 4 1 O x 9 y 4 1 O x 4 y 9 1 O x 9 y 4 1

4 4 39 These are 111 Special R

30 X 30 29 This shape is BEST described as being a n y 30 30 Find the measures of x y and z Z N degrees degrees degrees Obtuse Scalene Triangle Right Scalene Triangle Acute Scalene Triangle Acute Isosceles Triangle Obtuse Isosceles Triangle Equilateral

Question 19 Points 2 Find the area of the given sector Use 3 14 A O O 16 4 sq cm O 30 sq cm O 18 sq cm 60 10 sq cm 5 6 cm B

Question 16 ABC is a triangle If zB 45 and C 35 find A O 100 O 180 O 80 Points 2 O 45

10 Determine if the following is a reflection a rotation or a translation O Rotation O Reflection about the x axis O Translation Reflection about the y axis

11 Which of the row s are similar O Row 2 O Row 4 O Row 1 Row 3 0

6 Categorize angles a and d as one of the following supplementary angles complementary angles or vertical angles Vertical Angles Supplementary Angles Complementary Angles a b C d

Find the measure of y and z in the figure N 40 O y 90 and z 160 O y 80 and z 160 Oy 80 and z 150 O y 40 and z 80 80

Question 11 Points 2 Circle A center 12 32 and radius 15 Circle B center 1 4 and radius 10 Which of the following is the necessary transformation translation dilation from A to B to prove that the two circles are similar O Translation 13 units left 28 units down Scale factor reduction ratio 2 3 O Translation 13 units left 28 units up Scale factor enlargement ratio 2 3 O Translation 13 units left 28 units down Scale factor reduction ratio 3 2 Translation 13 units right 28 units down Scale factor enlargement ratio 3 2

O is the center of the circle Find the measure of x in the figure 230 O 130 O 230 O 260 X

Question 8 The three sides of a scalene triangle are 5 cm 7 cm and 10 cm Find the smallest angle of this scalene triangle Round off your answer to the nearest tenths place Points 2 O 111 8 O68 8 O 40 5 O 27 7

Question 7 Points 2 Triangle ABC has sides BC 4 cm AC 11 cm and AB 8 cm Find the angle A O 16 21 degrees O 33 94 degrees 129 83 degrees 26 16 degrees

Question 9 Find the measure of angle A in the triangle ABC C A 20 12 Points 2 O 37 5 O 43 5 O 67 5 000 B 14

Question 5 A telescope at the top of a building of 100 m height observes a ship with a depression angle of 45 degrees Find the distance between the ship and the building O 45 m Points 1 O 70 71 m O 100 m O 145 m

Question 6 Points 3 The angle of elevation of a car on a road to the top of a tower is 60 If the height of the tower is 80 feet find the distance between the car and the tower O 46 15 feet 46 19 feet 40 19 feet 56 19 feet Previous Complete Later 00 00 00 00 Complete

The length of a rectangular table is two times its width If the perimeter of the table is 2 000 ft set up an equation to find the width w of the table 2000 2 2w w 1000 2 3w w O2000 2 2wx W 2000 2 3wx W

Question 3 Points 2 Find the largest area of the circle enclosed in a square provided the area of the square is 324 sq cm O 254 sq cm O 255 sq cm O 256 sq cm O 257 sq cm

Question 4 Points 3 There is a circular garden enclosed by a square field The area of the square field is 64 sq cm Find the largest area of the circular garden enclosed by a square field O 201 06 sq cm 50 28 sq cm O 150 sq cm O 64 sq cm

Find the two dimensional shape of the given object O Rectangle O Square rectangular prism

3 Find the volume of the box below 5 ft 20 ft S ft V 25 ft ft 3 20 ft 5 ft 25 ft 5 ft

23 1 Write your answers in the MOST REDUCED FORM 2 3 cos A cos B sin A 16 32 3 sin A

graph the quadratic function y 4x 30x 160 The vertex is Type an ordered pair Determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function Choose the correct graph below O A 20 10 5 by 70 300 50 O B 70 20 5 by 300 70 50 Q O C Q Q 20 10 5 by 300 70 50

P y 6 5 4 3 2 1 4 3 2 10 10 2 3 S Q 12 3 4 5 6 R x Analyze the algebraic properties of this quadrilateral The fully reduced slope of PQ is Select The fully reduced slope of PS is Select The fully reduced slope of SR is Select The fully reduced slope of QR is Select The length of PQ is Select The length of PS is Select The length of SR is Select

3 7 mi Current Location 87 5 5 8 mi FINISH On the alternate trail the team will be able to maintain 13 minute miles Calculate the amount of minutes it will take Yellow Team to travel the alternat trail Round answer to two decimal places

In the diagram E is the centroid of AABC AD 7 5 centimeters AD 1 BC and AE BD A E Calculate the perimeter of AABC The perimeter of AABC is approximately B D C centimeters

The perimeter of a rectangle is 60 feet Describe the possible lengths of a side if the area of the rectangle is not to exceed 161 square feet Express the possible lengths of a side Type your answer in interval notation

calculate the measure of arc RS Image not to scale R V Y ST X T diamat IZC

18 Find the measure of arc RS if m QPT 32 R S OP mLQPT 0 P T

nd m LIK if 0 69 H L mLK 0 J 0 K

2 Find the surface area of the figure below SA 3 cm cm

5 Find the length of one side of a cube if its total surface area is 150in Set up the Surface Area Formula and plug in known measurements SA Ph 2B 4x x 2 x x 11 2 SIDE LENGTHcube in

3 Find the surface area of the rectangular polyhedron below SA 7 cm cm 3 cm 3 cm

1 This is a 2 Find x and y X y Special Ri

3 These are 4 x Spec Use the button to input your answer withou

BC O 5 AC 6 Find the length of DE to the nearest tenth E 3 Time lef

The graph of y f x is shown in blue Draw the graph of y f 3x shown in red by determining how a stretch or compression will transform the location of the indicated blue points Drag the movable red points to the desired coordinates Hint Drag the red dot to where you think it should be It will fall into the correct place if you are right You may click on a point to verify its coordinates Provide your answer below 74 10

T An 18 ft ladder is placed against a house The base of the ladder is 5 ft from the house Find the missing angles h F K degree Round the height to the nearest Complete the table Zy h 2x 2y Measure Chec X XXX

Once Triangle Similarity is established which of the following parts are also corresponding established A S C Angle ATS side AS Angle SAT T Choose Choose Choose B

in Using the figure match the vocabulary to the descriptions Reflection in line mi T Rotation about the origin T 4 Reflection in line n Choose A Identify the transformation that maps T onto T Identify the image of T Identify the preimage of polygon T Identify the transformation that maps T onto T Identify the transformation that maps T onto T Choose Choose Choose

a sandwich made with either white or wheat bread and either roast beef or bologna a snack that is either chips popcorn or pretzels a drink that is either bottled water or juice If Gretchen randomly chooses one of the boxed lunches what is the probability that she will get a roast beef sandwich on wheat bread and popcorn in her box O 10 12 mi

X 9 8 7 6 2x y 6k 9 2AD1ST64321 10 10 8 7 0 6 6 1 4 4x 2y 4 2077797 999 7 3 4 2 2 2 1 0 X 234567891011

If the volume of the solid shown in the figure is 1720 cubic inches find the value of X X in Type an integer or a decimal x 5 3 4x 3 3 x 3