2D Geometry Questions and Answers

What is the cross section that is parallel to the base of a sphere triangle oval parabola circle Question 8 1 point What is the shape of the cross section of a regular square pyramid if the cross section is parallel to the base Triangle Circle Rectangle Square

states and applies Cavalieri s Principle These stacks of coins have the same volume because each cross section has the same area and they have the same height A cone and cylinder will have the same volume if they have the same base area and the same height These two stacks of coins have the same volume because they have the same height

A cone is the result of rotating which of the following shape triangle rectangle pentagon circle

A 15 meter by 25 meter plot of land has 120 trees on it What is the population density of the trees 0 32 tree per meter 2 3 125 trees per meter 2 120 trees per meter 2 375 trees per meter 2

2 In right triangle ABC shown below altitude AD is drawn to hypotenuse AC DB 5 and BC 20 What is the length of the altitude in simplest radical form B D

6 In the given diagram determine the sum of a and b Tisda St BOVI od 21 Jailw woled 38A signsho in griz S 15 a b 30

2 Using right triangle ABC below what is the value of AC BC to the nearest wh triang a 9 6 b 15 c 6 plest radical form d 5 C 52 B 12

4 Which of the following statements are true given the two right triangles bel apply a sinB cosA b cosE sinE c sinE cosD d cosB sinA SIMILARITY 2012 E B 0 10 B What is the length SR D 6 8 Study com

8 In right triangle ABC mzC 90 CA CB and BA 12 Determine the length of CA

5 In the right triangle SRT below m R 90 m T 30 and RT 7 What is the length SR S a 3 3 7 3 3 b c 14 3 d 14 3 3 R

5 In rectangle ABCD below AC 20 and AD 10 What is the m BAC A B

3 In AGEF G is a right angle and FG EG f FG 10 what is the length of EF in simplest radic form

What is the measure of arc GF G F H 45 45 R

P Question 5 M Name a secant 3 3 p

Use the diagram below to answer the questions M Question 9 E 12pt Paragraph 0 D How many secants could be drawn containing M and Q Explain your answer 2 pts BIUA

P Question 7 M D 2 pts Rate yourself using a scale of 1 not at all to 5 could

D M Question 11 E D 2 pts How many tangents could be drawn having D as a point of tangency Explain your answer

D Use the diagram below to answer the questions P M Question 10 12pt Explain why DE is not a chord O Paragraph D BIUA 2 pts

8 7 6 5 4 3 32 2 1 23 2 3 4 5 6 7 8 C 2 3 4 5 6 7 8 9 B D YouTube MULTIPLE CHOICE QUESTION This is an example of a 90 degree rotation 360 degree rotation 180 degree rotation Rewatch

5 What is the measure of arc VU y C 120 W 95 T 180 U CH

HAME 19 In trapezoid JKLN JK ZN Find the endpoints of the midsegment N E 9x 6 DATE L 2x 8 20 Solve for x using the information on the rectangle shown below D G POROD Endpoints SCORE C X

x 3 y 2 means 3 right 2 down 3 right 2 up 3 up 2 left

565 2 5 What is the measure of arc KJ 65 K 130 banana

NAME 8 In parallelogram EFGH mZE 3y E 2 y 1 3x 15 H 7 Select ALL of the conditions that prove that a quadrilateral is a parallelogram Both pairs of opposite sides are congruent Both pairs of opposite angles are congruent The diagonals bisect each other The diagonals are congruent The diagonals are perpendicular 7x 5 y 8 G DATE F and FG 9 Select the quadrilateral that must be a parallelogram PERIOD A SCORE

4 Comparing the expenditure and resource cost income approaches for calculating GDP The expenditure and income approaches to calculating GDP arrive at the same final number but they calculate that number in different ways To illustrate consider the possible effects of the following transactions on GDP 1 Shen pays Better Buy 800 to for a new high definition television HDTV and its installation He s attracted by Better Buy s guarantee that he ll be happy with the new HDTV or he ll get his money back 2 Better Buy pays Firedog 650 to install the HDTV 3 Firedog buys hardware worth 50 from The Home Station Compute contributions to GDP using the expenditure approach Assume that The Home Station receives the hardware at no charge and that other costs are zero Hint Add the amount of money spent by buyers of final goods and services Which of the following would be included in the expenditure method of calculating GDP Check all that apply Firedog spends 50 Shen spends 800 Better Buy spends 650 The total contribution to GDP measured by the expenditure method is Now use the following table to compute contributions to GDP employing the income approach In particular indicate the costs of intermediate goods and the value added at each stage of production Sale Value Cost of Intermediate Goods Value Added Stage of Production The Home Station Firedog Better Buy 50 650 800 sale value value added

5 Find the surface area of the perfect ice cream cone composed of a right cone and a hemisphere The planetarium is remodeling and want to know the surface area including the skyview Calculate the surface area and SHOW WOR 5 yd

The quadrilateral is most specifically a because

3 The diagram shows a falcon F on a tree with a squirrel S and a chipmunk C on the ground From the falcon the angle down to the squirrel is 36 and 47 to the chipmunk How far apart on the ground are the chipmunk and the squirrel 36 Fr 15 m 47 C

Onsider the following a 12 r 2 9th term a Find the indicated term of the geometric sequence using the table feature of a graphing utility Round your answer t three decimal places 89 b Find the indicated term of the geometric sequence algebraically ay

2 Determime angle measure of all the missing angles 1 25 75 2 4 3 5 30 20

Use the geometric series to find a power series representation in powers of x for the function and establish the interval on which the representation is valid 24 x 4 f x r arctan 2x

Find the value of x Round your answer to the nearest tenth x 22 X 58

ff a system of two linear equations in two variables is inconsistent which of the following best describes the graphs of the lines in the system Select the best description of the lines OA coincident OB intersecting OC parallel

2 To answer questions 28 35 use the given data to find the values of the sine cosine and tangent of A B and of A B Give the quadrant in which each of the angles A B and A B terminates angle A in Quadrant II tanA 12 5 sinB 3 5 sin A B 33 65 A OB OO C OD 63 65 63 65 33 65 angle B in Quadrant III

f x x reflect in the x axis shift 5 units to the right and shift upward 7 units y

9 Given sin 72 cos 12 cos 72 sin 12 What is the value OA 1045 OB 9945 C 2 1 2 3 D

1 Use the fundamental identities and the given data to find the other function tan 8 angle ein Quadrant IV cot 8 A B C O D 4I3 514 4 4 3

2 In the diagram ABCDEFGH Find the scale factor from from ABCD to EF GH Then list all pairs of congruent angles 12 scale factor A 0 D B 12 8x 72 B C F G 9 E 6 H

11 Determine whether the triangles are similar If they are write a similarity statement and explain your reasoning A 29 B 2 401 40 1800 104 70 Similar by SASBO D 61 9 0 Similarity Statement AEDF ACB Explain Yes thet are C E

Write an equation in vertex form of the parabola that has the same shape as the graph of f x 3x or g x 3x but with the given minimum Minimum 0 at x 10 h x

What are the ordered pairs of the solutions far this system of ecuations f x x 3 2x 3 f x 2x 7

Directions After showing your thinking write your answer in the boxes In an 18 sided regular polygon find the measure of an interior angle and the measure of an exterior angle Interior angle O Exterior angle O

P R The two adjacent figures are a regular hexagon and a regular octagon What is the measure of ZPQR Type your answer

the length can be found by solvin x x 3 54 What is the length x of the garde The length is

The two figures are regular polygons What is the measure of angle y

the hexagon find the value of x 120 8x 6 5x 4 6x

Look at the following polygon We are giving angles of 102 165 123 128 and 161 Please type in the two missing angle measure x 161 128 102 165 x 11 type your answer 123 and type your answer

A convex polygon has only vertices at A B C D E F and G What is the measure of the sum of the interior angles Type your answer

f a regular polygon has interior angle measures of 144 how many sides does the polygon have

What is the measure to the nearest degree of on interior angle of a regular polygon with 13 sides 152 3 128 7 165 4 180