Geometry Questions

15 16 91 88 cos 64 isin 6 4 4 cos 45 isin 45 A 22 cos161 sm161 D 22 cos 19 sin 19 7 cos 30 sin 30 16 cos 75 isin 75 A 112 cos 45 isin 45 D 7 cos 135 isin 135 cos 135 isin135 16 B 352 cos 109 sin 109 C 22 cos19 sin19 E 84 cos19 Isin 19 17 3 cos 15 isin 37 94 B 23 cos 105 isin 105 E 112 cos 80 8 sin 80 8 A 12 cos 60 isin 148 C 0 75 cos 3 75 isin 32 25 E 81 cas 50 625 isin 1 874 161 C B x E y x 12 cos 105 1sin 105 B 81 cos 60 isin 148 D 81 sin 60 icos148 18 If a function is an odd function and x y is a point on its graph then which of the following will also 4 be a point on the graph A x D x y C x y

5 Find the area of the quadrilateral 5 100 8 6 7

Fencing with the length of 420 meters surrounds two identical playing fields with a common side The fields can be side by side and separated by a fence as shown in the figure Find the dimensions and the maximum area of each field The larger dimension of each field is meters The smaller dimension of each field is meters

Determine the standard equation of the ellipse Vertices at 2 3 and 4 3 focus at 3 3 Choose the correct equation below OA O C x 1 y 3 9 5 x 1 y 3 5 9 1 1 Next question OB x 1 2 y 3 9 5 1 OD x 1 y 3 1 5 9

Determine the sum Find the answer in simplest form 1 1 1 x 1 Enter the simplified sum in the box N Show Hints I

Write an equation of a line tangent to the graph 3x 3y2 75 at the point 4 3 4 0 v 3x 25 O X 4 O y x 1 7 7 O y x 3 4 O y x 25 3 3

Question Number 15 of 20 7th Grade Math A cylindrical paint can has a diameter of 12 centimeters and a height of 16 centimeters Which is closest to the volume of the paint can in cubic centimeters

An isosceles triangle ABC has legs of lengths 24 and a vertex angle that measures 36 degrees Determine the length of it s base BC to the nearest length

Find the exact value of arcsin 1 O arcsin 1 2 370 O arcsin 1 TU O arcsin 1 1 2 O arcsin 1 35

4 A bird is perched on top of a pole on a steep hill and an observer is located at point A on the side of the hill 110 m downhill from the base of the pole as shown in the figure The angle of inclination of the hill is 50 and the angle a in the figure is 9 Find the distance from the observer to the bird 110 m

and the eccentricity e and the distance d from the pole to the directrix of the conic 2 sin 8 4 Sketch and identify the graph Use a graphing utility to confirm your results 2 O q 1 1 1 24 1 D 6 4 2 n 2 2 8 2

Solve the equation for exact solutions in the interval 0 360 Use an algebraic method 4 sec 20 tan 0 8 tan 0

18 The first floor of a house is shaped like a rectangular prism and the second floor is shaped like a triangular prism The dimensions are shown on the following diagram If a 1000 BTU air conditioner can cool a house with a volume of air up to 1000 m3 can this air conditioner cool the house sufficiently 5 marks 14 m 4m Am

Find the area in square centimeters of a regular pentagon with an apothem of length a 4 4 cm and each side of length s 6 4 cm Use the formula A cm

llowing triangle with sides B 3 86 and C 4 35 Find the length of the entire bottom of the triangle A B 35 x C B h A Hint Break the triangle into two right triangles by drawing a line from the top corner directly downward Then find the height h and use this information to find angle B Then use this information to find a Finally find the length A You can solve this in any order you like I just find it easiest in this order

Three atoms with atomic radii of 4 0 5 0 and 6 7 are arranged as in the figure Find the measure of the angle at the center of atom B inside the triangle CID 40 A 67

ion 4 srt Chris covers her paper route which is 21 miles long by 7 30am each day If her average rate of travel were 1 mile per

Find the area of the circle given in the figure Use 3 14 O 103 cm O 1017 36 cm O 507 3 cm 300 cm 18 cm

Find the exact value of tan Q in simplest radical form 38 6 S 2 R

After a big rain the area of the surface of the local reservoir was 576 acres ac Use the facts to find the area of the surface of the reservoir in square miles mi 2 mi X Conversion facts fo 1 acre ac 43 560 1 square mile mi 640 acre 1 hectare ha 2 5 acres Note that means is approximat For this problem treat

Find the exact value of tan J in simplest radical form J 4 I 7 33 H

following quadratic trinomial x 20x 100

O Factor the following quadratic trinor x 3x 18

below Show all steps for full credit no exceptions a 13 12 37

6 The area of a rectangle is x 7x 12 ft and the length is x 3 ft Determine the width

5 Simplify the following expressions 81 a 2

4 Simplify the following expression x 8

In circle M M N 2 and the length of NO T Find m N MO M N

Quadrilateral NATS has coordinates N 4 3 A 1 2 T 8 1 and S a b Which coordinate for S would make NATS a rhombus 4 3 3 4 4 3 3 4 Previous Page Next Page Page 5 of

What are the slope and y intercept of a line that is perpendicular to line y 3 and passing through point 4 20 Om and b 28 Om 5 4 and b 29 Om and b 25 5 Om 5 4 and b 32 Previous Page Next Page Page

Given A 2 2 B 6 5 C 4 0 D x y State the coordinates of D that would make ABCD a parallelogram 3 6 6 3 O 4 3 4 3 Previous Page Next Page

Question 11 1 point Which of the following is the most precise method of determine if 4 vertices on a coordinate plane is a square O Graph the points and look at the figure to see if it is a square Use the distance formula to check if 4 sides are congruent Use the slope formula to check if adjacent sides are perpendicular Check that its diagonals bisect each other are congruent and are perpendicular Previous Page Next Page Page 11 of 13

Question 10 1 point Which of the following is the most precise classification of the quadrilateral given points A 4 4 B 1 2 C 4 2 and D 7 2 O trapezoid none square Oparallogram Previous Page Next Page Page 10 of 13

Question 4 1 point Triangle RST has coordinates R 1 7 S 3 1 and T 9 2 Is this a right triangle Prove your answer why or why not No this is not a right triangle because none of the slopes are negative reciprocals of each other O Yes RS is perpendicular to ST because their slopes are negative reciprocals of each other Yes RT is perpendicular to ST because their slopes are negative reciprocals of each other RS is perpendicular to RT because their slopes are negative reciprocals Yes of each other

In circle U mZPOQ 130 and the length of PQ 37 Find the length of OP P 0 Q

b 2 sin 20 3 Value 6 8 sin 2x 11 12 05x x sin 2x 1 3 2 ZOTT Six 1 5T 2017 3 2015 2 www

Evaluate cos sin H Select Select 77 7 b Select

The coordinates of the vertices of ACAT are C 2 3 A 8 2 and T 4 5 Which type of triangle is ACAT acute right isosceles obtuse

Question 4 1 point What is the equation of the line that is perpendicular to line y 1 5x 1 and crosses point 2 4 y 5x 15 y 5x 22 y 5x 14 y 5x 23 Previous Page Next Page Page 4 of 13

Determine and state the area of Right Triangle PQR whose vertices have coordinates P 2 5 Q 3 5 and R 6 1 35 25 45 15 Previous Page Next Page Page 10 of 13

Quadrilateral GRAM has vertices G 2 3 R 7 10 A 9 4 and M 4 3 Prove that GRAM is a parallelogram Quadrilateral GRAM is a parallelogram because GR MA and RA MG O Quadrilateral GRAM is a parallelogram because RGM GMA and ZRAM ZGRA Quadrilateral GRAM is a parallelogram because GR RA and MA MG O Quadrilateral GRAM is a parallelogram because MGGR and RA MA

Rectangle JOKE has diagonal endpoints J 5 10 and K 0 2 and diagonal endpoints O 0 10 and E 5 2 What is the area of rectangle JOKE Previous Page Next Page Page 7 of 13 A

Calculate the perimeter of the above triangle 17 1 units 22 9 units 30 units 10 units

The coordinates of the vertices of parallelogram CDEH are C 5 5 D 2 5 E x y and H 8 1 What coordinates of E would make CDEH a paralellogram 2 2 2 2 1 1 3 2

Question 8 1 point Rectangle has LAST has diagonal vertices L 5 3 and S 1 6 and diagonal vertices A 1 3 and T 5 6 What is the perimeter of rectangle LAST Previous Page Next Page Page 8 of 13 AP

Quadrilateral GEOM has coordinates G 4 3 E 1 2 O 8 1 and M a b Which coordinate for M would make GEOM a rhombus 1 4 0 3 3 4 4 3

A square QRST has points Q 5 1 and R 3 8 What should the slope of the line RS 7 8 8 7 8 7 7 8 Previous Page Submit Quiz Next Page 0 of 13 questions saved Page 6 of 13

Question 3 1 point Which of the following is the most precise classification of the quadrilateral given points A 5 3 B 5 2 C 1 0 and D 1 5 parallelogram none rhombus trapezoid Previous Page Next ge Page 3 of 13

Below is the work from two of your peers Student A and St 2 EXTRA POINTS Determine the area of the shaded region You must show all work to gain extra credit A r STUDENT Plon A 20 7777 1 5 cm 386 97 cm2 122 5 cm 50 3 cm 102 4 cm Which peer 3 cm As A A4 5 25 cm A 2 T 3 4 cm 2 As 25m As 50 3 cm Av 1 1 167cm2 2 EXTRA POINTS Determine the area of the shaded region You must show all work 5 cm 386 97 cm 122 5 cm 50 3 cm 102 4 cm 3 cm gain extra credit ASAADED ABIG ASMALL r 8cm ABIG 7 8 201 062 ASMALL 5 78 539 ASKADEO 122 523cm STUDENT B do you agree with How would you have the other correct their work CM

Match the value of x below with one of the diagrams Use each diagram only once x 5 I 14 x 25 x 3 A 3x 12 D points 8 and D are points of tangency