2D Geometry Questions and Answers

Given ZBAC LEDC and BC CE Prove AABC ADEC X B E Steps ZBAC LEDC BC CE LACBZDCE AABC ADEC D Reason Answer Answer Answer Answer

translate 5 units down and then rotate 90 degrees about the origin

Which statements about the right triangle are correct Select all that apply 3 points cosB 13 12 cotA 5 12 cscA 12 5 sinA 12 13 secB 13 12 tanA 5 12

Example 1 Let g x y a Find the domain of 9 Y b Sketch the level curves g x y c for c 1 0 2 Note Some authors prefer the term contour or conto instead of level curve

Find PR such that 0 PR 5 and m0 is a maximum Let a 2 b 7 and h 5 Round your answer to f PR C e R

42 0 in 128 0 in 42 0 in 16 0 in Triangular Right Prism with Isosceles Triangle Bases

2 5 points Match each of the functions with their respective level curves descriptions 0 x y 2 0 2x 3y 5z 7 z ln 2 y 215 92 4y 2 2y x x y A Unequally spaced concentric circles B Equally spaced concentric circles C Lines with a common intersection D Unequally spaced parallel lines E Equally spaced parallel lines

Topic Geometric proofs Complete each proof 29 Given NONP OQ PQ NO PQ NO DPQ numbers Prove ZNOP LOPQ Circled ter side F the tou nes are transversal Inlevior Perpendicular Perpendicular 90 Statements Par

3 4 1 point Look at the following right angle below What is the value for y Type your answer 5 y X 2 ft 1 point In ARST m R 73 and m S 56 Which statement about the sides of ARST must be true ST TR RS TR RS ST ST RS TR TR ST RS RS TR ST

A gate automatically opens when the water gets too high How high in cm above the hinge must the water be for the gate to just open if the location of the hinge is measured 80 from bottom Gate Water 11m Hinge

4 1 1 14 A 6x 63 4x 3 Line I is parallel to line m when the value of x is 38 12 30 3 1 point Max want to launch a projectile at a structure that is 335 feet away horizontally and 249 feet high What angle of elevation will he need to fire his projectile of at to hit the target on top of the structure 0 335 ft B 249 ft C

If AXYZ is reflected across the y axis to form AX Y Z what is the coordinate of Y 2 Y tyngYOU ancuor tung your onquer

19 Find the average Y coordinate of a point in the region below the parabola y 1 x and above the X axis

A horizontal 80 cm diameter hatch is located on the top of a submersibl designed for a river to escape If the submersible is 72 m below the surface of the ocean estimate the total force applied on the hatch Assume Ssaltwater 1 02 Answer Choose Choose

3 Clearly describe and or graph the set of all points r y at which the given function is continu Explain your reasoning 4 a f x y ccm ry 1 4 b g x y ln 2 y 5

0 Why are these triangles similar A B R SSS SAS AA Triangles are not similar X SAS C 1 point Why are these triangles similar A B SSS C Z X

Why are these triangles similar 4 LA 12 sss AA 3 O O Triangles are not similar SAS 1 1 point Why are these triangles similar

1 1 point Why are the triangles similar triangles are not similar SSS SAS AA 1 point Why are the triangles similar 44 2 SSS AA triangles are not similar 2

1 point What is the similarity ratio of these triangles 2 3 4 5 6 1 2 1 not similar 4 1 point Why are these triangles similar AV SSS Triangles are not similar 2

1 point Why are these triangles similar 9 6 Osss 6 SAS AA 9 7 Triangles are not similar 1 point Why are these triangles similar SSS 3 12 2 14 3 Triangles are not similar

Solve the right triangle shown in the figure for all unknown sides and angles Round your answers to two decimal places A 5 8 a 36 5 B 11 0 b B a C E D A Q

A DVD rotates through and angle of 201 radians in 1 second That means it times around in 1 rotates second If it rotates that number of times in 1 second how many times does it rotate in 1 minute revolutions per minute

Find the Galois group of the following polynomials a x x 2x 2x 1 over Q b x 10 over Q 2

What is the measure in radians of the angle A 45 Select one O a 2 3 O b 2 O C 7 12 O d 4

A surveyor is 100 meters from a building The angle of elevation to the top of the building is 23 L Find the height of the building X 100 23 In a parking garage each level is 20 feet apart Each ramp to a level is 130 feet long Find the measure of elevation for each ramp x 20 130 03 8

1111111 el The graph above is a transformation of the function f x x Write an equation for the function graphed above g x

Find the lengths of the legs 45 4

For the following exercises write a logarithmic equation corresponding to the graph shown 47 Use y log2 x as the parent 48 Use f x log3 x as the parent 49 Use f x log4 x as the parent function function function 5 4 3 2 1 5 4 3 2 14 0 1 2 3 4 5 st 4 3 2 14 50 Use f x logs x as the parent function 1 Ma 2 3 4 3 4 X X 5 4 3 2 1 0 1 2 34 5 1 24 5 5 4 3 2 1 5 4 3 2 1 0 1 2 3 44 1 2 3 4 5 X 5 4 3 2 At 5 4 3 21 0 1 2 3 4 5 1 2 3 at 4 FLO 5

What is the area of this figure 18 cm 3 cm 7 cm 2 cm 9 cm cm 6 cm 3 cm

Look at the work for the following function What mistake did they make when using the quadratic formula to find the solutions What are the real solutions to the function f x 1 9z 20 Step 1 Step 2 Step 3 9 92 4 1 20 2 1 9 81 80 2 9 161 2 Step 4 There are no real solutions

11 Which function g x shows the parent function f x vertically stretched by a factor of 3 reflected over the x axis and translated right 2 units and translated up 4 units g x 3x 21 4 g x 3 g x 21 4 x 21 4 1 1 3 g x 3x 2 4

Select all of the solutions to this equation x 7 x 1 x 9 0 A X 7 B X 9 C X 9 D X 7 EX 1 F X 1

2 Multiple Choice The function g z x 1 2 2 is a transformation of f x Which is the description of the transformation A translation 2 units to the left and 1 unit down translation 1 unit to the left and 2 units down translation 1 unit to the right and 2 units up D translation 2 units to the right and 1 unit down

What are the solutions to the equation 9 07

Given the triangle ABC if side a is 36 cm side b is 24 cm and side c is 19 cm find angle C Please round to one decimal Select one a 30 6 Ob 19 2 O c 29 0 d 84 1

3 Graph the function by hand upload photo and identify the following a x intercept b vertical asymptote c horizontal asymptote d hole e domain f range f x x 2 x 3x 10

6 4 05 Review Name the transformation that maps AB onto CD Be specific and state the transformation name as well as the direction H 1 0

3 In rectangle LONM above ON 4 and MN 12 determine the length of OM

LTE Consider the following measures sh the diagram with the circle centered Point A AB 9 m mCDB rads

071 pt Details A rectangular field whose area is 19900 square feet is to be divided into three parts as shown Fencing must be used on all sides of the field as well as for the internal dividers length width If w represents the width of the field the amount of

Given DB 96 BE 40 and E determine the measure of the an You may assume that point A is the center of the ci

Suppose the fencing along the width of a rectangle costs 6 per foot and the fencing along the length of the rectangle costs 8 per foot If the perimeter of the rectangle is 240 feet express the cost C as a function of the width w C w

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A container of soup is in the shape

60 117 60 C 152 Place the letter in the blank above its measure to reveal an interesting fact about our 49th state 90 97 99 83 If each side is extended in one direction exterior angles are formed 24 25 and 26 83 An interior angle and its adjacent exterior angle are supplements 41 24 180 The measure of an exterior angle is equal to the sum of its remote interior angles 22 23 24 All three exterior angles add to 360 24 25 26 360 57 65 117 120 117 117 12 40 140 120 E 65 152 60 90 90 83 123 117 60 97 50 1008 25 15 117 120 EN 99 65 81 81 83 40 1179 120 90 600 65 R 97 60 654 97 65 79 81 83 40 1200 65 44 25 644 40 60 50 65 37 81 37 44 81 60 819 37 168 83 65 99 94 90 65 99 90 E 65

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A popcorn container is made from a cone with a