Geometry Questions

In 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

6 What if a restaurant needed to build a wheelchair ramp for its customers The angle of elevation for a ramp is recommended to be 5 degrees If the vertical distance from the sidewalk to the front door is 2 feet what is the horizontal distance that the ramp will take up x How long will the ramp be z Round your answers to the nearest hundredth 3 points z 2 09ft x 61ft

8 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

What is an angle An angle is I

1 point What is a radian a radius that is 3 14 inches long an angle measure with an arc length equal to one diameter length an arc length that is the length of one diameter an angle measure with an arc length equal to one radius length Previous

1 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

B 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

5 1 point Area of sector is to O circumference of circle circle area diameter semicircle as arc measure is to 360 degrees

9 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

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

7 1 point How many radians are in a semicircle 00 T EN EN 3 01 2 2

3 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

to 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

d 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

through 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

the 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

6 5 4 3 2 S N 65 3 2 1 51 67 hut 1 2 3 42 Write an equation for the graph above f x est 16

Graph all asymptotes of the rational function 4x 2x 1 2x 3 f x 00 4 24 M T 8 X

Match 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

Graph all asymptotes of the rational function f x x 2x 3 x 2 H X

State 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

Write an equation for the line graphed below y 19 V F

2 52 3 5 47 m21 m 2 m43 m24 m25

Use 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

Use 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

Find 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

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

Evaluate 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

Use the Law of Sines to solve if possible the triangle If two solutions exist find both Round your answers to two decimal places If a triangle is not possible enter IMPOSSIBLE in each corresponding answer blank A 139 a b 16 B C C

Use 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

15 ACAR APET 5 Co y 6 6 R P A 5 E 16 TUNA FISH DMIMOZA X 7 T U 6 6 N H

For Exercises 2 6 match the term on the left with its figure on the right 2 Trapezoid 3 Rhombus 4 Rectangle 5 Kite 6 Parallelogram E B F For Exercises 7 10 sketch and label the figure Mar 4 D

For Exercises 7 10 sketch and label the figure Mark the figures 7 Trapezoid ZOID with ZO ID 9 Rhombus EQUL with diagonals EU and QL intersecting at A 11 Draw a hexagon with exactly two outside diagonals 8 Kite BENF with BE EN 10 Rectangle RGHT with diagonals RH and GT intersecting at I 12 Draw a regular quadrilateral What is another name for this shape 13 Find the other two vertices of a square with one vertex 0 0 and another vertex 4 2 Can you find another answer Explain 14 What is the perimeter of one of the five congruent rectangles shown to the right The larger rectangle with perimeter 198 cm is divided into five congruent rectangles Architecture CONNECTION Quadrilaterals are used in the architecture of many cultures for both pr

Find the sample size n needed to determine a 90 confidence interval for the population proportion p given the margin of error E 6 Use 0 5 for an estimate of the sample proportion p Round to the nearest whole number as needed Enter the correct value in the box n Show Hints

11 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

3 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

1 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

20 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

17 1 point A quadrilateral inscribed in a circle is called a bilateral quadrilateral central quadrilateral connected quadrilateral cyclic quadrilateral OO

W 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

11 1 point R 102 m S T What is the measure of arc RST 204 degrees 102 degrees 51 degrees 180 degrees

1 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

1 point Laurie is constructing an angle bisector She sketched her angle then opened her compass to a radius length less than the length of the rays that make up the angle What should be her next step label the point of intersection of the two arcs mark the points of intersection draw an arc using the vertex as the center draw a ray from the point of intersection to the vertex

13 1 point Jan is constructing an inscribed circle in a triangle What is the center of this circle called centroid incenter circumcenter orthocenter

12 1 point D C 50 degrees 90 degrees Previous A If the measure of arc AB is 50 degrees what is the measure of angle ADB 25 degrees 100 degrees B

8 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

1 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

3 1 point E 10 5 C Solve for x x 10 x 5 x 7 5 x 15 Previous Xx D

1 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

1 point 2 R The measure of arc PQR is equal to 250 degrees The measure of arc PR is equal to 110 degrees What is the measure of angle 2 125 degrees 180 degrees 70 degrees 55 degrees