Geometry Questions

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

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

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

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

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

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

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

Answer 50 v 7

Solve for the value of a 6a 1 2a 3

Solve for the value of a 67 6a 1 Answer Attempt 1 out of 2

0 6 25 Points Determine two coterminal angles one positive and one negative for each angle Give your answers 19t 8 a DE b 8 0 rad 7T 15 rad

Solve for the value of a 529 8a 6

To 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

Evaluate the sine cosine and tangent of the angle without using a calculator If an answer is undefined enter UNDEFINED 11 0 4 sin Cos 0 tan 8

Determine two coterminal angles one positive and one negative for each angle Give your answers in radians Enter your answers as comma separated lists 17 a 8 7 b 0 7 15 rad rad

Find the measure of the missing angles Answer Attempt 1 out of 2 g k O O 50 hl g m 39 kl h m O O

A 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 8 be the angle of elevation to the shuttle and let s be the height of the shuttle a Write 8 as a function of s 8 750 m Not drawn to scale b Find 8 when s 600 meters and s 1300 meters Round your answers to two decimal places s 600 meters 8 rad s 1300 meters 8 rad

Find the measure of the missing angle 65 a

The sun is 18 above the horizon Find the length of a shadow cast by a park statue that is 12 feet tall Round your answer to one decimal place ft

Find the indicated side x if b 6 a 33 y 70 Use either the Law of Sines or the Law of Cosines as appropriate C O 5 164 A 22 369 14 527 3 354 a y X B

Find the measure of the missing angle a

A 16 ft ladder is leaning against a building If the base of the ladder is 6 ft from the base of the building what is the angle of elevation of the ladder Round your answer to one decima place O ICE AN How high does the ladder reach on the building Round your answer to the nearest whole number ft

In the triangle below with right angle D suppose that m B 3x 26 and mz C 5x 16 Find the degree measure of each angle in the triangle C D k 5x 16 3x 26 B mL B m2 C m2D O 0

A 18 ft ladder is leaning against a building If the base of the ladder is 6 ft from the base of the building what is the angle of elevation of the ladder Round your answer to one decimal plac 0 How high does the ladder reach on the building Round your answer to the nearest whole number ft

2 ounces of pure gold was 2 640 Complete the double number line to show the cost for 1 3 and 4 ounces of gold 0 2 640 cost in dollars 6 600

10 The contractor you are working for needs to know the height of a building to see if his 300 foot crane will reach the top If you read an angle of inclination of 40 13 52 at a distance of 350 ft from the base of the building what is the building height and will the crane reach the top Draw a neat diagram

Find the scale factor from the following similar figures 8 4 cm 28 cm Original 35 cm New 11 CH

Which of the following best describes the dilation Figure 1 Figure Il Figure III Figure IV