Geometry Questions

Match the points plotted on the graph with their polar coordinates y A B A C 4 D E B F G x y 2 3 2 4 X C D E

have 720 ft of fencing to enclose a rectangular area One side will be protected by an existing fence What are the dimensions of the largest ar hat can be enclosed Select one O a O b O c O d 180 by 180 64 800 ft 180 by 360 32 400 ft

3 5 a Find the area of the triangle pictured above Round your answer to the nearest tenth

Use the figure to help you answer the question What is the sum of the interior angles of the regular polygon show Select one O a 135 O b 1 080 O c 1 440 O d 2 160

Find the value of x Round to the 1 40 X 900 ft

This is a 2 page document Use for questions 1 3 There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find each probability 1 P yellow then red 2 P blue then green 3 P both red Use for questions 4 7 The spinner below is spun twice Find each probability 4 P diamond then circle 5 P both stars 6 P shaded then heart 10 P at least 11 then N Use for questions 8 11 A bag contains 20 slips of paper individually numbered 1 20 If a slip of paper and a letter in the word PENNSYLVANIA is chosen at random find each probability 8 P less than 15 then a vowel 9 P multiple of 4 then V 7 P both unshaded 12 Bella guessed on the last three questions on her science test If each question has five answer choices what is the probability she got all three correct 11 P a prime number then a consonant 13 It has rained two out of the past nine days Based on this data what is the probability that it will not rain for the next four days

A radio tower is located 325 feet from a building From a window in the building a person determines that the angle of elevation to the top of the tower is 38 and that the angle of depression to the bottom of the tower is 28 How tall is the tower Round answer to one decimal place feet

Find the measure of angle x if possible Notice that is an obtuse angle Round to the nearest tenth If not possible enter IMPOSSIBLE 51

Write the first five terms of the sequence a 1 82 a3 10 A 11 a 5 n n 4 4n 1 0 86 X 7 11 8 15 Fantastic w XX

1 8 cm 10 cm Number of Faces Surface Area 6 cm 7 cm 8 cm 10 cm 6 cm 7 cm

44 What What is the perimeter of the right triangle shown at the right

13 What is the perimeter of AXYZ Y 7 5 X B 6

2 What is JL A 4 5 B 6 75 C 8 75 D 12 5 8 K M

4 The orbit of Halley s comet is 36 18 AU long and 9 12 AU wide What is its eccentricity

2 In the circle above GJ 9 JF 6 HJ 15 and JE x 5 Determine the length H 15 J 6 G F

4 In the diagram below of circle O chord AB bisects chord CD at E If AE 3 and of CE in simplest radical form 8 E D

1 In the circle above SA 2x 12 QA 18 PA 20 and AR 27 Determine the length of P S 2x 12 20 A 27 18 Q

3 In the accompanying diagram of the circle below SW 6x WQ Determine the value of x 12x PW Fu R 9 and WR 8 2 4 12x 2

equation that is perpendicular to y 2x 3 and passes through the point 5 3 6 A1 Spiral Write an

5 SAT Question Equivalent Expressions Which of the following is equivalent to 12x a b C 1 8x 3x 4 2x 3x 1 2x 3x d 1

are 5 and 2 7 8 04 Review Find the hypotenuse of a right triangle when the legs

x Let x y be defined as follows x y 2xy 2 y x If a b 0 and b 0 which statement COULD be true x X X A X B 5 of 10 X D E a 5 b 1 5 C a 1 b 1 a 2 b 1 13 50 a 0 b 1 a 3 b 3

Skill Concept x Define x y z as follows x y z xy yz 1 2xy Evaluate 6 12 108 X X A X B 64 344 C 0 3 of 10 x X D 64 12 46

Let the expression m A n be defined to mean 2mn m Then 3 5 A 7 X x X X X A 225 B 105 C 75 D 210 X E 1 of 10 06 16 II 280

7 Suppose we decreased each dimension in the following trapezoidal prism by a factor of What will the new volume be 12 5 10 V eno

Solve the triangle A 37 C 95 c 18 for b

x 14 4 In the circle A above DF 4 BF 6 FE x 10 and CF a Determine the length of DE b Determine the circle s circumference in terms of E B

7 In the diagram below of circle O AE x EB x 1 CE x 1 and ED 2x Find the length D B 0 E O A

2 In circle G above mzJ 2x 18 and mIH x 63 Determine the mZHGI H O

2 In the diagram above diameter AB bisects chord CD at point E in circle F If AE 5 and FB 10 determine the length of CE in simplest radical form E F

wor 1 In the circle below FC 10 FB x 10 EF 6 and DF 5x a What is the value of x LU HOLL b Which segment above is the greatest in length a FB b FC A m Diagram is not drawn to scale

4 In the diagram YOU DO ROUND 2 3 In the accompanying diagram of circle O chord CD bisects chord AB at E CE 2 and AB Determine the length of ED A E 0 B

6 In the diagram above DF AF DE is a diameter that bisects CB at F If the circles area is 144 ne length of CB in simplest radical form D A LL F B

8 Find the length of TV T C 14 7 6 A S x 12 V

5 In the diagram above of circle 0 chord AB bisects chord CD at E If AE of CE in simplest radical form 8 and BE 9 find the lengur B EU

1 In circle A shown DF 8 EF 9 BF x 17 and CF x 15 Determine the le 13 beskra A F E

1 Determine the value of x in simplest radical form X 14 8 X 10

find the exact value of sin 2a 8 if a sin 3 and tan Please show your work Do not waste your time inputting the 32

Tues 4 25 Assignment Surface Area Find the Total Surface area of the cylinder 15 cm 4 cm Prisms Cy

A 82 O O sin 82 34 sin 82 34 sin 82 34 sin 82 27 F sin B 27 sin C 27 sin B 82 sin B 34 27 34 B

88 8 cos M cos N sin M sin N 32 P 1111 1 1 1 1 1

Find the value of b Round your answer to the nearest tenth S 36 23 A 45 b C

1 Part 0 5 Part 1 of 5 2 An equation of an ellipse is given a Identify the center of the ellipse b Identify the vertices c Identify the endpoints of the minor axis d Identify the foci e Graph the ellipse Express numbers in exact simplest form x 2 3 25 16 3 1 4

Question 30 2 points Identify the inequality that represents the graph O 3 2 y x X y x 3 2 3 45 2 3 5

Search online for an example of a vector field Explain what produces the field Sketch the field and include a picture of where you got the field

Find the surface area of the following 10 in 10 in 15 in square inc

Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long Round to the nearest whole degree 36 54 46 44

Find the surface area of the pyramid hint you must find the slant height first 20 ft 30 ft 30 ft ft 2

What is the total surface area of the cylinder to the nearest square inch 9 in 14 in in

Find the surface area 3 2 cm 1 cm A 11 2 cm C 5 1 cm O A 2 cm OB O C OD 3 cm B 17 4 cm D 14 2 cm