# 2D Geometry Questions and Answers

Geometry

2D Geometry17 BLUE FISH F H 6 E 6 B U L 6 18 RECTANGL G R T C 12 did in 19 Imagine using two congruent triangles to create a special quadrilateral as you the investigation a What type of triangles do you need to form a rectangle Explain b What type of triangles do you need to form a square Explain

Geometry

2D GeometryB 6 A 3 A X E 4 D Yukar daki ekilde m BAD g re AE x ka cm dir C B 4 C 5 ABC bir ikizkenar gen AB AC AD BC ED 4 cm BD 6 cm m DCE oldu una D 6 E 8 00

Geometry

2D GeometryWhat does the notation Rx axis DAB mean Reflection Rotation Clockwise Counter clockwise Around the origin to the axis Over the x axis Over the y axis 180 90 270

Geometry

2D GeometryIn the figure below C is between A and D and B is the midpoint of AC If BC 4 and AD 11 find CD CD 1 D X 5

Geometry

2D Geometry8 To estimate the weight of pumpkins for the pumpkin farm a farmer took a random sample of 30 pumpkins The weights to the nearest tenth of a pound of those 30 randomly sampled pumpkins is given by the table below Answer each question 12 pts 2 5 17 0 7 3 4 0 7 9 8 0 11 9 12 0 15 9 16 0 19 9 9 1 13 4 14 4 A Construct a histogram for the number of victories Use the following classes Label your graph as needed 3 pts 0 3 9 16 7 3 1 5 1 9 3 6 0 2 4 6 0 10 3 19 Shape Center Spread B Identify the five number summary to the nearest undredth 1 pt 1 9 5 6 12 0 D Create a boxplot for the number of victories You can place your boxplot anywhere on the vertical portion of the graph 3 pts 10 8 6 4 2 0 9 5 y 505 6 8 8 4 0 Frequency 4 10 3 12 8 9 9 4 8 18 3 7 6 8 Pumpkin Weight lbs C Identify the mean and standard deviation to the nearest hundredth 1 pt 4 8 12 16 Pumpkin Weight lbs E Describe the shape center spread and unusual features for the weights of the pumpkins 4 pts 5 6 2 6 15 1 12 16 20 X ix 20

Geometry

2D Geometry1 point A hula hoop has a radius of 19 inches What is the length of the arc subtending 1 4 of the hoop 59 7 inches 29 8 inches 14 9 inches 43 8 inches

Geometry

2D GeometryB 1 point A circle has a circumference of 28 centimeters If an arc subtends a central angle of 55 degrees what is the arc length 8 56 centimeters 26 88 centimeters 53 76 centimeters 4 28 centimeters

Geometry

2D Geometry5 1 point Area of sector is to O circumference of circle circle area diameter semicircle as arc measure is to 360 degrees

Geometry

2D Geometry9 1 point A pizza has a radius of 7 inches If it is cut into 6 equal slices what is the area of each slice 7 33 square inches 14 66 square inches 49 square inches 25 66 square inches Previous

Geometry

2D Geometry1 1 point A plane slices through a cone parallel to the base What shape is the cross section oval triangle square circle 0000

Geometry

2D Geometry3 1 point A sector of a circle has a central angle measure of 310 degrees If the radius of the circle is 2 feet what is the area of the sector 12 31 square feet 10 82 square feet 5 41 square feet 21 64 square feet 000

Geometry

2D Geometryto the coordinate grid 5 4 Find point Q on RS that is of the distance from R to S 8 3 5 Find point D on AB that is of the distance from A to B 6 Find point G on AB such that the ratio of AG to GB is 3 2 A R Ay O U M M B S M

Geometry

2D Geometryd y 46 O C 4 d y 4 b 2 y 4 2 T b do not shift up or down do not shift left or right shrink vertically neither stretch nor shrink horizontally a shrink vertically neither stretch nor shrink horizontally do not shift up or down Shift lefUright a 4 d 4 c by a factor of by a factor of 6 by a factor of by a factor of X 6 by a factor of by a factor of units units 4 units units O 4 units C C a y How is the graph in part b related to the graph in part a If a graph is not supposed to be stretched or shrunk enter 1 in the corresponding box on the right If a graph is not supposed to be shifted in some direction enter 0 in the corresponding box on the righ Do not reflect a 12 b b d 4 How is the graph in part c related to the graph in part a If a graph is not supposed to be stretched or shrunk enter 1 in the corresponding box on the right If a graph is not supposed to be shifted in some direction enter 0 in the corresponding box on the right Reflect across the x axis d 6 X X How is the graph in part d related to the graph in part a If a graph is not supposed to be stretched or shrunk enter 1 in the corresponding box on the right If a graph is not supposed to be shifted in some direction enter 0 in the corresponding box on the right Reflect across the x axis shrink vertically neither stretch nor shrink horizontally do not shift up or down

Geometry

2D Geometrythrough f P x x 5 1 a Give the coordinates of the vertex The coordinates of the vertex are Type an ordered pair 10 8 2 8 16 4 2 4

Geometry

2D Geometrythe following quadratic function a write the function in the form P x a x h 2 k b give parabola and c graph the function P x 3x 9x P x se integers or fractions for any numbers in the expression

Geometry

2D GeometryMatch the point in polar coordinates OB 2 3x 6 oc 2 2 OD 2 X 2 7 to to the points A B C or D 5

Geometry

2D GeometryState the coordinates for each of the plotted points Enter your answers in form of ordered pairs like x y Do not forget the parentheses M E A B C D 5 4 3 2 1 AO 002 5 4 3 2 1 1 C 2 3 BO 5 1 2 3 4 5

Geometry

2D GeometryUse the Law of Cosines to solve the triangle Round your answers to two decimal places A B C O O O b 7 A c 15 a 11 B

Geometry

2D GeometryUse the Law of Cosines to solve the triangle Round your answers to two decimal places A B C O O O b 7 A C c 15 a 11 B

Geometry

2D GeometryFind the exact values of the remaining trigonometric functions of 0 satisfying the given conditions If an answer is undefined enter UNDEFINED csc 6 cot 0 0 sin 8 cos 0 tan 8 sec 0 cot 0

Geometry

2D GeometryFind the exact value of the expression if possible If not possible enter IMPOSSIBLE Dan sin tan sin 2

Geometry

2D GeometryEvaluate the sine cosine and tangent of the angle without using a calculator If an answer is undefined enter UNDEFINED 0 117 4 sin 0 cos tan 0

Geometry

2D GeometryUse a calculator to evaluate the trigonometric function Round your answer to four decimal places Be sure the calculator is in the correct mode cot 1 43

Geometry

2D Geometry11 For which value of x is line parallel to line 12 For which value of x is line parallel to m line m X X 13 For which value of x is line parallel to line m 15 3x 20 110 2x 10 1 X X 53 8x 9y 14 For which value of x is line n parallel to line m p 30 80 x m q m

Geometry

2D Geometry3 1 point The city of Covington is placing a statue in a triangular grassy area bounded by sidewalks on all 3 sides If the city wants the statue to be an equal distance from all 3 sides of the grassy area where should they place it at the orthocenter of the triangle at the centroid of the triangle at the incenter of the triangle at the circumcenter of the triangle

Geometry

2D Geometry1 point Ed is constructing the perpendicular bisector of a segment on his paper He just finished labeling the points of intersection of the two arcs that he drew What is his next step Oopen the compass to more than half the length of the segment but less than the whole length draw an arc with a radius length equal to the segment length construct the line connecting the two points draw two arcs using each of the endpoints as centers

Geometry

2D Geometry20 1 point An inscribed circle is not related perpendicular to tangent to equal to O DOO Previous all 3 sides of the triangle it is inscribed in

Geometry

2D Geometry17 1 point A quadrilateral inscribed in a circle is called a bilateral quadrilateral central quadrilateral connected quadrilateral cyclic quadrilateral OO

Geometry

2D GeometryW 3 Z The measure of arc XY is 85 degrees The measure of arc WZ is 25 degrees What is the measure of angle 3 60 degrees 42 5 degrees 12 5 degrees 30 degrees

Geometry

2D Geometry11 1 point R 102 m S T What is the measure of arc RST 204 degrees 102 degrees 51 degrees 180 degrees

Geometry

2D Geometry1 point Kris has 3 daughters who all live in different cities across Georgia She wants to live somewhere that is an equal distance from each of her daughters She mapped out the 3 cities and drew a triangle connecting them How can she find a point on the map that is an equal distance from all 3 cities construct the circumcenter estimate the best place construct the incenter construct the orthocenter

Geometry

2D Geometry8 1 point C 5 B Segments AB and BC are both tangent to the circle shown above What is the length of BC Note photo not necessarily to scale 10 25 2 5

Geometry

2D Geometry1 point Line I is tangent to circle Q What is the measure of the angle formed at the point of tangency 180 degrees 90 degrees 45 degrees 100 degrees

Geometry

2D Geometry1 1 point E G FL D The line containing points E and G is a diameter It runs parallel to never crosses intersects the endpoint of bisects chord DF

Geometry

2D GeometryEvaluate the sine cosine and tangent of the angle without using a calculator If an answer is undefined enter UNDEFINED 7 4 sin 0 cos 8 tan 0

Geometry

2D GeometryA 84 ft tree casts a shadow that is 110 ft long What is the angle of elevation of the sun Round your answer to one decin place 37 3 X O

Geometry

2D GeometryDetermine two coterminal angles one positive and one negative for each angle Give your answers in radians Enter your answers as comma separated lists 9m 4 b 8 Br 15 rad rad

Geometry

2D GeometryA television camera at ground level films the lift off of a space shuttle at a point 750 meters from the launch pad see figure Let be the angle of elevation to the shuttle and let s bet height of the shuttle a Write 8 as a function of s 8 750 m Need Help Not drawn to scale b Find when s 200 meters and s 1600 meters Round your answers to two decimal places s 200 meters 8 N rad s 1600 meters rad 19 54

Geometry

2D GeometryTo find the distance across a river a surveyor chooses points A and B which are 197 ft apart on one side of the river see the figure She then chooses a reference point C on t opposite side of the river and finds that ZA 47 and LB 70 Approximate the distance from A to C A B 207 ft 208 ft 209 ft 206 ft A c ft Bo