2D Geometry Questions and Answers

Organize the following vectors in order from the longest to the shortest 4 4 4 5 6 Choose Choose 1 5 7 Choose 4 10 Choose 4th shortest first longest

7 18 12 12 0 5 08 14 44 6 The vector above has a magnitude 3 31 5 25

If 2 and 12 6 then 6 HA 9 8 7 6 5 4

If a 3 6 5 1 and b 6 11 then a b

Given the vector 6 12 6 12 6 5 2 5 with a directional angle of

Find the sum of the following vectors 8 7 and 2 9 7 6 5

Given P x 3z 52 522 1132 400x 300 and that 5i is a zero write P in factored form as a product of linear factors Be sure to write the full equation including P z

Vrite equations of the horizontal and the vertical lines that pass through the given point 5 6 99 horizontal y 6 99 vertical x 5 horizontal y6 99x vertical x Sy horizontaly 5 verticalx 6 99 horizontaby 6 99 vertical x

Consider the following function g x swer 1 x 4 tep 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed 1

solve each traingle ABC that exists B 27 3 degrees a 28 2 b 40 1

find the exact value of the expession ot sin x 2

Which polar coordinate point s represents the point 3 3 3 in the rectangular coordinate system Select one or more a 6 2 b 3 2 S C 6 5 d 6 2 164

Given the rectangular coordinate point 2 2 find the polar coordinate s Select one or more a 2 2 7 b 2 2 4 c 2 2 4 d 2 2

Which of the graphs below is the graph of the polar equation r 6 sin 60 when changes from to Select one O b a TT 10 10 TT 5fT 6 7TT 6 5TT 6 7 TT 6 211 3 4T 3 2 T 3 4T 3 10 TT 2 10 3TT 2 10 2 10 3m 2 5TT 31 TT 3 TT 3 5TT 31 TT 6 TT 6 11 6 0 10 11TT 6 10 20 20

Which of the following is NOT a true statement Select one a In the polar coordinate r r is the distance from the origin O b A polar coordinate is represented by 0 r Where r is the distance from the origin and is the angle measured from th moving counterclockwise Oc In the Polar coordinate r is the angle measured from the x axis moving counterclockwise d A polar coordinate can be converted to a rectangular coordinate using r and sine and cosine

The point F in the graph has the coordinates 4 TT 3 2T 3 TT 4 4 3 5TT 3 5 3

Select one or more a x y b r c 0 r d r T a

Select the statements that are true Select one or more a In polar coordinates y is a function of x b There are infinitely many ways to represent a point in rectangular coordinates c All polar equations are functions d There are infinitely many ways to represent a point in polar coordinates

Find an equation of the ellipse drawn below then find its foci 0 Select one 1 FR a x 4 y2 9 1 b x 4 y2 9 1 foci 0 5 foci 5 0 c x 4 y2 9 1 foci 0 5 d x 4 y2 9 1 foci 5 0

Choose the true statements about this conic section x 4 x 3 81 9 1 Select one or more a Opens to the left and right The graph is an ellipse b c Center 3 4 d Center 3 4

Which is the graph of the circle x y 10x 8y 5 0 Select one Oa b 0 5 10 5 10 L 5 10

the 5y 38 of x and y 8x 26 3x

The line y mx c intersects the circle x y a a maximum of Select one a 3 Ob 2 C 4 O d 1 points

For the parabola shown below Which is an accurate conclusion about this parabola Select one or more a Focus 0 3 b c d directrix y 4 25 The vertex is at 0 4 V x 2 x 2

The equation x2 2x y 3x 2 0 represents Select one a An ellipse A circle Ob Oc A parabola Od A hyperbola

Write the equation for a circle with center 10 6 and radius 9 units Select one a x 10 y 6 18 b x 10 y 6 81 Oc x 10 y 6 81 C d x 10 2 y 6 9

d a formula for the quadratic function depicted in the following graph Answer 10 S Enable Zoom Pan K

For the stem and leaf plot below what is the maximum and what is the minimum entry Key 11 7 11 7 11 47 12 466789 13 0112366788 14 34668999 15 011237789 16 22578899 17 29 OA max 179 min 114 OB max 17 9 min 11 4 C max 17 9 min 11 7 OD max 17 2 min 11 4

comedies 12 dramas and 10 action movies He wants to select two movies at random without replacement a Find the probability of selecting two comedies 3 pts b Find the probability of selecting two dramas 3 pts c Find the probability of randomly selecting two action movies 3 pts d Find the probability of randomly selecting two movies that are not dramas 3 pts

Find a4 when a 3 and r 2 Select one a 24 b 16 C 16 d 24 OC

Which group shows the values in the order from least to greatest Select one a In 10 log 10 log e In 1 b None c In 1 log 10 In 10 log e d log 10 In 10 log e In 1

Find the sum of the first five terms of the geometric sequence 1 6 36 Select one a 1 555 b 1 654 c 1 004 d d 967

What postulate if any can be used to prove the triangles congruent

Listen Solve for x 3x 1 11 10 14 13 43

Match the following literal equations to it s inverse y x y 2 12 b m m x y1 m y x Choose Choose Choose ax by c y y 1 m x x 1 y mx b

The height of a poplar tree in feet at age t years can be modeled by the function h t 6 3 n t 1 Use the model to predict the number of years when the height will exceed 18 feet

32x 1 7 Find x Select one a 3 2 Ob 2 O C d 17 33 2

What reason allows the following statement to be true Given A and DB are vertical angles then DA B Linear Pair Postulate Definition of Bisector Vertical Angles Congruence Theorem Definition of Supplementary

Listen Find m T T 4x 6 6x 11 95 S U

You are given that point F is located on segment ED you can conclude O EF ED by the definition of congruence EF FD ED by the definition of midpoint EF is a right angle by definition of right angles EF FD ED by the segment addition postulate

Listen Find m S VA 2 7x 2 4x 13 19 S

What is the reason for statement 4 Given BC DA AC bisects ZBCD Prove A4BC ACDA B O

What type of angles are these Then solve for x 65 6x 1

Given Segment AB is a perpendicular bisector of segment XY Prove Segment AX is congruent to segment AY What should be the reason for statement number 6 A X B

s QRST below a rectangle 2 6 2 2 6 R D 2 Q T S 16 8 A 10 XA lect one OA No because it is not a parallelogram B Yes because QRST is a parallelogram but its diagonals are not congruent C Yes because QRST is a parallelogram and its diagonals are congruent D No because QRST is a parallelogram and its diagonals are congruent E No because QRST is a parallelogram but its diagonals are not congruent

What is the reason for statement 3 Given ZWXW and VW YW Prove AVWZ AYWX V W X

Fy 2x find the value of y elect one a 4x b 24x C c 1 4x d 22x

Simplify and evaluate the following expression log6 3 log 6 2 Select one a 6 b 1 OC 0 d 2 C

1 Graph and label each quadrilateral with the given vertices Then determine the most precise name for each quadrilateral L information in the chart below to help you solve the problems Credit will not be given if you do not show work Formula Distance Formula d x x y y Midpoint Formula M Slope Formula m When to Use It To determine whether sides are congruent diagonals are congruent To determine the coordinates of the midpoint of a side whether diagonals bisect each other To determine whether opposite sides are parallel diagonals are perpendicular sides are perpendicular a 2 1 3 3 1 5 2 3 b 6 3 0 5 10 5 4 3

Simplify the following log 2 x 8 log 2 x 4 Select one a 8 log 2x O b log2x O c d 2log 2x 4 log 2 x