2D Geometry Questions and Answers

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

The exterior angle of a regular pentagon measures 3x 9 What is the value of x Tyne your answer

The measures of an interior angles of a pentagon are 3x 2x 5 7x 2x 1 and 3x 7 What is the value of x Tynovour answor

Find the value of x in the regular pentagon below 4x 12

What is the exterior angle sum of a 21 gon

A regular pentagon meets a regular hexagon as shown below figure not drawn to scale What is the measure of the angle measure A A

An exterior angle in a regular polygon measures 13 33 What is the name of the polygon 25 gon 32 gon 27 gon 29 gon

A grocer has a block of cheese that has length 12 inches width 4 inches and height 3 inches Then he slices the cheese into two equal triangular prisms What will be the length of the of the rectangular cross section

The figure below represents the side view of a rectangular frame for metal shelves Two diagonal braces support the fi 8 ft 2 ft What is the closest measure to x 7 14 28 76

The figure shown is composed of two congruent triangles and a square Measurements are given in inches 6 in 5 in 4 in A 5 in What is the total area of the figure in square inches 5 in 4 in 5 in

Avery leans a 24 foot ladder against a wall so that it forms an angle of 80 with the ground How high up the wall does the ladder reach Round your answer to the nearest tenth of a foot if necessary

Use the labeled point to write a point slope form for the line The point slope form of the line is Type an equation 4 3 2 H 3 2 11 2 3

6 a Determine an algebraic expression for the graph of the quadratic function shown below f x 1 x 2x 8 X 6 X b Where does the function achieve its minimum Give an exact non decimal answer c What is the minimum value of the function Give an exact non decimal answer y X WebAs

Aubrey is flying a kite holding her hands a distance of 2 5 feet above the ground and letting all the kite s string play out She measures the angle of elevation from her hand to the kite to be 25 If the string from the kite to her hand is 150 feet long how many feet is the kite above the ground Round your answer to the nearest hundredth of a foot if necessary

Question 25 of 60 Ben has purchased 50 sheets of thin plywood to make a model of the neighborhood he lives in Each sheet measures 17 inches by 24 inches He cuts one fourth of each sheet to use as walls for the houses and cuts two thirds of each sheet to use as walls for the office buildings He plans to use the third piece from each sheet to repres basketball courts at the park hat is the total area of the plywood pieces he plans to use for the tennis and basketball courts 2 550 square inches 5 100 square inches 3 400 square inches 850 square inches 1 700 square inches 24 inches 17 inches

Consider the given function f x x 2x 5 a State whether the graph of the parabola opens upward or downward b Identify the vertex c Determine the x intercept s d Determine the y intercept s e Sketch the function f Determine the axis of symmetry g Determine the minimum or maximum value of the function h Write the domain and range in interval notation Write your answers in exact form Part 0 9 Part 1 of 9 a State whether the graph of the parabola opens upward or downward The graph of the parabola opens Choose one upward downward X

1 OA 45 cm OB 46 cm OC 48 cm OD 49 cn Question 2 If the volume of the cone 8640 on what is the height A 45cm B 46 cm 48cm 49cm slant height 12 5 pts The slant height of the Cone is 52 cm What is the volume of a cone having a radius of 20 cm and a slant height of 52 cm A Clon