2D Geometry Questions and Answers

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

6 In the diagram as shown ZCDB 38 B C and E are points of tangency and A and F are the centers of the two circles What is the degree measure of ZBGE 38

find the volume of the prism shown 6 Jug 4 m 8 m 5 m 10 mil

Question 10 of 15 H Use symmetry to r 3 3 cos

Find a rational number halfway in between the two numbers 2 5 and 1 11

Official Miami Dade Colle Content 21 ft 31 Part 1 of 3 McGraw Hill Connect Ma Correct Answer 16 ww M a How far from the ground is the balloon floating Roun answer to the nearest tenth of a foot The balloon is floating approximately 11 ft from the gro

e length of a rectangle is 3ft less than twice the width and the area of the rectangle is 65ft 2 Find the mensions of the rectangle

7 and w answer in exact form 256 X

sec x 5 sec x 14 0 Need Help Read Use n as an arbitrary integer Enter your response in radians 6 1 Points DETAILS Use the Quadratic Formula to find all solutions of the equation in the interval 10 2 Enter your answers as a rated list cark antwer decimal d

Question 2 23 33 points Graph the solutions of the linear inequality ys 1 O A