Coordinate system Questions and Answers

15 The triangle is inscribed in the circle below Find x 5 16 Find x units A 24 15 units

Use the diagram for the following two questions are 17 Find the measure of arc 1 round to one decimal place arc 1 degrees 18 Find the measure of arc 2 round to one decimal place arc 2 degrees

10 h 10 27 What is the height of the triangle 10 Use the button to input your answer AA 28 Find the area of the triangle

Question 36 Points 2 Find the area of the polygon with the coordinates 1 2 3 2 3 0 and 1 0 O2 sq units 8 sq units O4 sq units O 16 sq units

Question 28 Points 2 Which of the following lines is perpendicular to the line passing through the points 3 4 and 5 6 O y x 7 O y x 4 O y 4x 9 O y 4x 11

Question 30 Points 1 Find the equation perpendicular to the line passing through the points 4 0 and 0 4 and passing through the point 0 8 O y 8 x O y 2 x Oy 4 x O y 8 x

x 5 3 These two angles are 6x 30 4 Set up an equation to solve these equation Use button to input the equation Input your answer WITHOUT spaces 5 Solve for x X So to solve for x we must set these two expressions equal to each other and then use algebra to solve for

Siven A CBA DAB CAB DBA are Right Angles Prove BC AD B D 19 Complete the Two Column Proof Statement Reason 1 CBA DAB 1 2 CAB DBA are Right Angles 12 3 CABDBA 4 5 AABC ABAD 6 BC AD 13 All Right Ang 14 Reflexive Pr 15 16

Question 17 Points 1 The angles formed in the same segment of a circle are O congruent O unequal O straight angle Oright angle

8 If two things are equal and one of those things is also equal to another item then the other things is also equal to the item 9 Give an algebraic example of this propert Transitive Property BU Font Family Y A Reflexive Property

Find the distance between the following points 2 4 3 2 1 Make a list of the coordinates y and x2 Y2 31 2 y 4 3 2

8 cm O 8 O 13 33 T O13 33 24 32 T of the shaded region 52 cm 3 cm

Question 10 Find the enlargement ratio of the circle C with center 3 1 of radius 2 units and circle C with center 5 4 of radius 3 units when C is transformed to C 213 0 1 312 Points 1 5

4 Find the surface area of the following solid Do not include the bottom of the half cylinder The units are in meters A SA 15 m

5 Find the volume of the cylinder whose diameter is 14 inches and height is 4 inches V in 3

W 8 7 6 5 4 3 2 1 X The slope of ZY is N 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Analyze the algebraic properties of this quadrilateral The slope of WX is Select The slope of WZ is Select Select The slope of XY is Select The length of WX is Select The length of WZ is Select The length of ZY is Select O O Y X

E H y 4 3 21 2 1 4 3 2 10 1 2 3 4 5 6 1 2 32 4 3 5 G The slope of HG is Analyze the algebraic properties of this quadrilateral The slope of HE is Select Select The slope of GF is Select The slope of EF is Select The length of HE is Select The length of HG is Select F The length of GF is Select Soloct X C

Aiden claims that the diagonals of an isosceles trapezoid are always congruent but he provides no evidence to back up his claim Using evidence and geometric postulates prove that the diagonals of a trapezoid are congruent C B A D Given Isosceles Trapezoid ABCD Prove AC BD Statement ABCD is an Isosceles Trapezoid AB DC ZBAD LCDA AD AD ABADA CDA TO D Select Select Select Select Select Select Reason O

Determine the equation in standard form of the hyperbola that satisfies the given conditions 4 Foci at 1 8 1 2 Slope of one asymptote is 3

Points A B and C are graphed Find the coordinates of the circumcenter and the radius of the circumscribed circle for AABC yf 12 10 8 6 4 2 B A 2 4 6 8 C 10 12 radius X

In AAB AD BF CE are the medians Which triangles have the same area Select all that apply B E ABGD and ACGD ACGF and AAGF DAAGE and ABGE AAGE and ABGC AEGB and AAGC AAFB and ACFB OAADB and AAGC AREC and AFC G A D F C

Which equation correctly represents the circle below O 1 y 2 25 O 2 1 5 O x 2 y 1 25 O 1 y 2 5

8 Find x y and z X 30 6 y y x 2 x Z 8 Use the button to input your answer witho

r C If this circle has a radius of 7 8 and mZc 139 calculate the length of the intercep arc Round answers to two decimal places Use the button on your calculator

an and Regression Quiz Describe the explained variation about a regression line in words and in symbols x 81 x y y y Question 4 of 16 This question 1 point s poss Choose the correct answer below OA The explained variation is the sum of the squares of the differences between the y values of each ordered pair and the mean of the y values of the ordered pairs OB The explained variation is the sum of the squares of the differences between the observed y values and the predicted y values OC The explained variation is the sum of the squares of the differences between the predicted y values and the mean of the y values of the ordered pairs The explained variation in symbols can be described by the expression 2 Yi Yi y x

17 mi 60 B 25 mi 36 C A b Assuming red team knows the bearings and distances from checkpoint A and checkpoint C to checkpoint B they can calculate the distance b between checkpoint A and checkpoint C using the Law of Sines First they need to calculate the angle B in degrees using the Triangle Sum Theorem then they will set up ratios using angle B and distance b and one of the other two sides Finally the team will need to solve it algebraically Calculate the distance b and round it to one decimal place

Given right triangles where a b are the legs and c is the hypotenuse Determine the type of right triangle in which you would use the following formula A c a b B c 2a C c a 6 D c a 2 E c a 6 Pythagorean theorem 30 60 90 Triangle theorem Obtuse Triangle relationship 45 45 90 Triangle theorem Choose Choose Choose Choose

Some answers may be used more than once a A b B a b a C b a D ad b A B d b d E 2 20 b C C D C d bc Choose Choose Ratio C None of the above Reciprocal property

Rotations are based on circle 360 start to finish Look at the figures and try to match them to the degrees they are rotated either clockwise or counterclockwise to map each one onto itself A D UNIT B E C NATIONWIDEHUSCAPS

roble If 6x what does 36 equal 0 3 0 9

a Kaitlin proved a certain statement about polynomial functions The statement is best described as a n Choose One b Donna is trying to prove a statement about all prime numbers that she believes is true No proof of the statement exists The statement is best described as a n Choose One c Alonzo wrote a proof that included a certain statement The statement is not a definition but is accepted as true without any proof The statement is best described as a n Choose One d In his textbook Ahmad found a proof of a certain statement about right triangles The statement is best described as a n Choose One e Deandre wrote a proof that included the following statement The statement formally describes what a right triangle is A right triangle is a triangle with one right angle The statement is best described as a n Choose One V

Find the value of each variable Simplify your answers as much as possible If necessary you may learn what the markings on a figure indicate 0 y 0 X 6 8 08 X 8

For the equation x xy y 5 0 answer the following questions a Rewrite the equation in a rotated x y system without an x y term Use the appropriate rotation formulas b Express the equation involving x and y in the standard form of a conic section c Use the rotated system to graph the equation a The equation in a rotated x y system is

In the figure below points A E F and C lie in plane X Points B and D do not lie in plane X For each part below fill in the blanks to write a true statement A E F B D X a B and are distinct points that are collinear b FC and c E and are distinct points that are coplanar d Another name for plane X is plane are distinct lines that intersect St

Find the amplitude period and phase shift of the function defined by each of the following equations and sketch the graph of one complete period T 3 1 y 2 cos x 3 2 y sin 3x 1 10 10

omplete the table below Note that t is an angle measured in radians sint cos t n sin 2 t cos t 1 Smallest positive value of t 4 2 V 2 Sine

7 Find the area of the shaded region Round to two decimal places The units are in inches A 8 10 in

All changes saved 8 A company produces card board boxes with the top bottom and sides measuring 3 feet It cost the company 4 cents a square foot to make each box The square footage is determined by finding the area of all six sides of the box Find the cost to make 200 boxes

X 5 8 Use the Pythagorean Theorem to set up an equation to solve for the missing side x 5 9 Solve for x x x Use the button to input your answer

1 What would be the best description of the triangle Answer x 3 Solve for x Scalene Obtuse Equilateral Isosceles 2 Use the Pythagorean Theorem to set up an equation to solve forx Equiangular Acute

What is the future value of an investment of 2300 compounded continuously at 2 for 3 years

Graph the solution set of the system of inequalities 2x 4y 16 2x 4y 8 4x y 7 x20 y20 Use the graphing tool on the right to graph the system Click to enlarge graph 10 B B 4 101 2 8 6 2 2 4 6 8 P

7 A regular polyhedron has 12 edges and 6 vertices a Use Euler s equation to find the number of faces b Use the result from part a to name the regular polyhedron

4 For a regular tetrahedron find the number of faces vertices and edges in the polyhedron Then verify Euler s equation for that polyhedron

1 point Perform the following operations on the vectors 2 2 2 3 2 5 and 4 5 2 6 6 u 12 v vw

For the rhombus below find the measures of 21 22 23 and 24 3 2 57 m 2 1 m 22 m 43 m 24 D 0 0 0

For each figure below determine by using the markings if there is a pair of congruent triangles If there is name the congruen justifying the congruence Note that the pairs of triangles are drawn as congruent but you should not rely on how they are drawn in determining your answers If necessary you may learn what the markings on a figure indicate a U W b Z AA L AV E K O Not Necessarily Congruent Congruent A UVWA by the Choose one O Not Necessarily Congruent O Congruent A ABC Aby the Choose one O Not Necessarily Congruent O Congruent A GHIA by the Choose one A

10 Find the exact length of minor arc CD 12 cm C 135 12 cm D

Order the side lengths IJ JK and KI from least to greatest Note that the figure is not drawn to scale 41 K 85 X

In Exercises 20 and 21 use Theorem 9 2 1 in which the lengths of apothem a altitude h and slant height of a regular pyramid are related by the equation 2 a h 20 In a regular square pyramid whose base edges measure 8 in the apothem of the base measures 4 in If the height of the pyramid is 8 in find the length of its slant height