Geometry Questions

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

Use the diagram below to answer problems 1 10 P M 1 Name a diameter 2 Name all radii 3 Name all chords 4 Name two tangents 5 Name a secant E 0 6 Name two points of tangency D 7 How many tangents could be drawn containing M and Q Explain your answer 8 How many secants could be drawn containing M and Q Explain your answer

American 12 9 18 21 12 15 Japanese European 8 For a single car chosen at random from the cars on this dealer s lot let A be the event that the car chosen is American and B be the event that the car chosen is compact a For a single car selected from this dealer s lot find P A and P AIB Explain your answers 4 pts b Are A and B independent events Explain 2 pts 12 6 17 IkWhat is the probability that the spinner will land on a green section 1 pt b The spinner is spun and the color is recorded The spinner is then spun a second time and the number is recorded Are these events independent or dependent Explain your answer 2 pts c The spinner is spun and the color is recorded The spinner is then spun a

2 C of 56 M d 1 4 3 2 1 7 3 2 3 4 04 The plot above is created with the parametric equations x t a cos bt y t c sin dt To acheive this graph a 5 b 2 4 X Or

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

Listen Solve for x R 0 2 4 9 X 7 2x 6 S T

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

Find a 6 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one O a 64 b 128 c 128 d 64

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

Solve the following equation e 3x 9 Select one Oa 0 732 b 0 459 c 0 327 Od 0 237

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

Marcus said that these two triangles were congruent by Hypotenuse Leg HL Why can t these triangles be proved congruent by HL What postulate could you use to prove them congruent Be sure to answer both parts for full credit and give your answers in a complete sentence

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

What kind of triangle is made by connecting the points A 0 6 B 3 6 and C 3 2 Select one A right OB equilateral C right and isosceles D isosceles

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

2 What is the most precise classification of the quadrilateral by connecting in order the midpoints of each figure below Explain See example Problem 3 in the textbook a JKLM b kite WXYZ O X

Simplify the following log 4 16 log 44 Select one a 4 O b 0 C 2

Solve the following equation 6 x 2 21 Select one a 0 301 O b 0 602 OC 0 301 d 0 602

Convert the following to logarithm form 4 16 elect one a log216 4 b log 4 16 2 c log 42 16 d log 164 2

Simplify Ine8x Select one O a x8 Ob e8x C 8 d 8x

The diagonals of quadrilateral EFGH intersect at D 1 3 EFGH has vertices at E 1 7 and F 3 5 What must be the coordinates of G and H to ensure that EFGH is a parallelogram to The coordinates of G must be Type an ordered pair

The endpoints of GH are G 3 4 and H 15 22 Find the coordinates of the points that divide GH into the given number of congruent segments 6 congruent segments The coordinates of the points are Type an ordered pair Use a comma to separate answers as needed

Determine the most precise name for the quadrilateral Then find its area A 1 4 B 3 4 C 4 4 D 6 4 What is the most precise name for the quadrilateral ABCD A The quadrilateral ABCD is a rhombus B The quadrilateral ABCD a parallelogram OC The quadrilateral ABCD is a square OD The quadrilateral ABCD is a trapezoid OE The quadrilateral ABCD is an isosceles trapezoid OF The quadrilateral ABCD is a kite OG The quadrilateral ABCD is a rectangle The area of ABCD is square units Type an integer or a decimal

What is the value of x in kite ABCD 2x 5 A x 1 ect one A 8 B 4 C 2 D 16 B D X 4 C 4 x 2

For which value of x is ABCD a kite A D Select one A 73 OB 23 OC 33 OD 83 C 7 B

QUESTION 5 2 POINTS Find the equation of the line with slope 1 5 and y intercept 0 1

Find the lengths of LM TU and QP 2x 4 Select one 2x 4 3x 2 A 16 24 32 B 20 28 38 C 8 16 20 M U

LM is the midsegment of trapezoid RSXY What is LM Select one A 12 3 B 6 15 C 4 1 D 6 4 1 8 2 M

Find the values of x and y in the given kite Note Input answer as x y 4x 13 y 9 Answer A 5x 15 y

Find the measures of the numbered angles in the kite Note Input answer as 1 2 44 H Answer 2 80

Find GH Select one A 16 B 10 OC 3 D 13 C 10 4x 1 6x 2 D H E