2D Geometry Questions and Answers

1 point In the triangle ABC side b 9 side c 9 and side a 8 what is the value of the sin A Round your answer to the nearest hundredth B picture of triangle is purely for labeling use angles and side lengths specified in the problem Type your answer

Using the graphs provided determine the equation for the polynomial function being represented Show all of your work O a e 6 5 4 3 2 1 24 21 18 15 12 9 6 3 3 4 LO 5 6 X U

To prove that the Side Angle Side congruence criterion is true using transformations start with the given information LA AB DE AC DF AB DE BC EF AB DE LB LE and prove AABC ADEF Next apply a translation to AABC so that the image of A is

Is AABC ADEF A B AAS No HL m ASA F are the triangles are not SAS Yes congruent by

Question Stem Consider the lines L and L defined by L x 2 y 1 0 and L x 2 y 1 0 For a fixed constant 2 let C be the locus of a point P such that the product of the distance of P from L ar the distance of P from L is 22 The line y 2x 1 meets C at two points R and S where the distanc between R and S is 270 Let the perpendicular bisector of RS meet C at two distinct points R and S Let D be the square of th distance between Rand S

82 Indefinite Integrals 12 If xe cos xdx ae b 1 x sin x xcos x d where d is constant of integration then 2a 2b 13 Let f x xinx 1 xcos x Inx sin x dx and f x 1 dx 14 Let f x x 3x 6 3 and f 1 inx dx In A is 15 If X e B 1 21 3 7 e 2 4 Then the value of cosf 21 is Then the value of f 2 is c where c is constant of integration then the value of A

Given AABC with AB BC and BD is the angle bisector of ZB Prove AABD ACBD D C In AABC is isoceles with AB BC BD BD BD bisects LABC LABD LCBD AABD ACBD

Which coordinates can be used to describe the point on the grid to the right Check all that apply 5 5 11 5 2 5 6 25 5 77 5 3 l 5x 6 7x 6 2n 3 w 4 3 2 k3 4 5m 3 to 117 a 0

1 GIVEN lm jlk mZ1 42 42 1 2 138 138 3 442 9 11 10 12 5 6 15 16 7 8 13 14 17 18 19 20 k m go Here 3 138 2 4 42 5

Amanda needs to find the height of a parallelogram The base is 1 inches long and the area is 4 square inches What is the height Step 2 of 2 Finally solve the problem by substituting in the appropriate values Round your answer to 2 decimal places if necessary 0 h b 1 01 5

Graph the line with slope 3 passing through the point 5 4 10 4 10 8 6 44 2 64 4 10

What is the value of x x 5 ft A B 91 13 ft 38 C P 8 ft 91 13 ft 38

Which criteria can be used to prove triangles are congruent Select all that apply A B C ASA AAS SAS SSA E HL

POINTS A T dnu z are cominear What is mzXYQ A X 60 10a 2 Y 120 c 122 D 135 5a 2 Z

If AD is a diameter and mZC 125 what is the measure of ZA C A B D mZA degrees Enter

Lloyd is standing near a power line pole as shown in the figure When his 2 head touches the support wire he is 2 feet from where the wire meets the ground A 8 feet If Lloyd is 5 feet tall how tall is the power line pole 17 ft 80 ft 15 ft 20 ft

Given ZA ZB Prove AABE ABCD What is the reason for 3 AA Vertical Angles SAS Reflexive Property R Statements 1 2 ZC ZC 3 AABE ABCD Reasons 1 Given 2 3

In the figure four congruent isosceles triangular tiles are placed equidistant from a central square tile Which statement about the figure is correct O It has 2 lines of symmetry and a 45 angle of rotational symmetry O It has 2 lines of symmetry and a 90 angle of rotational symmetry O It has 4 lines of symmetry and a 45 angle of rotational symmetry OIt has 4 lines of symmetry and a 90 angle of rotational symmetry

10 11 10x 8y 20 3x y 8 5x 2y 5

A circle with center 7 2 and radius of 13 is graphed below WILII the circle 10 B Part A Write the equation of the circle Part B Prove algebraically that point B 12 14 is on the circle Part C The general form of the equation of circle A is x y 14x 4y 116 0 Liam was asked to confirm by completing the square that this is the equation of circle His work is below x y 14x 4y 116 0 1 move the constant x y 14x 4y 116 x 14x 49 y 4g 4 116 2 re arrange and x 7 y 2 116 complete the square 3 write in factored form Liam knows he has made a mistake because the radius is 13 and his equation is equal to 116 Explain his mistake and correct it Explain how he knew it should not equal

The volume of a cone varies jointly as the height and the square of the radius Suppose a cone has the measurements V 32956 39 cubic yard r 37 yards and h 23 yards Step 2 of 2 Using the equation from the previous step find the volume of a cone that has a radius of 12 yards and a height of 40 yards Round you answer to two decimal places if necessary Answer 2 Points Keypa Keyboard Shorte

7 OL is tangent to circles P and M If LM 3 LN 4 OP x 2 and ON 8 determine the value of LO MP M4

1 In the diagram above of circle A FB and FC are tangent to circle A at B and Cres AD FD determine the length of FB in simplest radical form A B D

2 AB is tangent to circles P and Q below AP 6 BQ x BZ 4 and AZ x 5 What is the relationship between the two triangles How do you know Determine the perimeter of AAPZ a b 6inch N B Q

YOU DO ROUND 2 3 In the diagram above AC x CE 4 DE x 6 and DB 4 Determine the radical form A E 18

5 In the diagram above of circle C AB 6 and DC 6 Determine the area of ABDC in simplest radical form D x 0

4 In the diagram above QP is tangent to both circles where D 0 16 D 0 the length of D Q in simplest radical form 12 and OP 9 D D2 C P Di

YOU DU 1 In the diagram above AC and AD are tangent to circle B at points C and D respectively If CB 4 and AE 8 determine the length of AC in simplest radical form A E B

O A 1 a In circle O right triangle OBC is formed where mzB 90 If OC 13 BC 12 determine the length radius OB b If mLBOA 7x 3 and mBA 4x 9 find the value of x

Consider the following function r x 4 1 1 2x Step 1 of 2 Find the slope and the y intercept Express the intercept as an ordered pair Simplify your answer Answer 2 Points 6x

Find the measure of minor arc TV S 36 T W 5x Write your answer as a whole number or a decimal

D D Classify the angle as acute right straight obtuse or none Ohoose the correct answer below

Identify a pair of corresponding angles in the diagram N

Probability of choosing an odd number

Probability of choosing a number less than 7 and an odo number

Cards numbered 1 12 are placed in a bag A ball is chosen at random The probability of choosing a number less than 5 is 13 What is the probability of not choosing a number less than 5

Write the function represented by the gra Enter the correct expression in the box b

Write the function 4 5 3 3 4 2 6 4 2 0 2 V N Enter the correct ex

Write the function rep 2 6 16 4 2 0 4 10 Ditor the y 2 N Anurag X

Find a polar equation of the conic with a focus at the pole and the given eccentricity and directrix Identify the conic and graph it 5 e 2y 3 Find a polar equation for the conic equation Simpl answer GEE

14 Given XU XV and ZY are tangents to circle O XO 17 and OU 8 find XZ YZ XY Z W a

Match the equation with the degenerate conic section that would describe the graph y 4 0 y 4x 0 y 4x y 4x 0 1 Choose Choose two intersecting lines empty set two parallel lines single point

2 Graph the polar curve r 4sin 20 Apply the tests for symmetry

The graphs of polynomial functions y f x and y f x and 2 Preview y g x are given below H 2 3 a Express function f x in terms of g Use z as your input variable b Express g z in terms of f Use a as your input variable

hinn utility to solve the equation Express

2 Find an equation in standard form for the parabola a vertex 0 0 directrix y 4 b focus 4 0 directrix x 4 c focus 5 3 vertex 5 6 d vertex 3 3 opens downward focal width 20

The distance between cities A and B on a map is 10 75 in The distance from city B to city C is 8 75 in and the distance from C to A is 16 in If the bearing from A to B is N73 E find the bearing from C to 4 Round to the nearest tenth of a degree 16 in 10 75 in 8 75 in 8 The bearing from city C to city 4 is approximately Choose one Choose one

a If the length of each side of each cube is 1 unit what is the surface area in square units of a tower of n cubes like the one shown below square units b If the length of each side of each cube is 1 unit what is the surface area in square units of a tower of height n cubes like the one shown below

1 Find the vertex focus directrix and focal width of the parabola a y 8x b x 4 6 y 1

nd the exact value of the express sin 2 cos 5