2D Geometry Questions and Answers

In quadrilateral ABCD AE x 6 and BE 3x 18 For what value of x is ABCD a rectangle B A 18 B 12 Select one A B C E C 16 D 14

A golf ball is selected at random from a golf bag The golf bag contains the following golf ball brands 9 Titleists 8 Maxflis and 3 Top Flites Find the probability that the golf ball is A Titleist or Top Flites Select one or more a 3 b BE C 370 d 60 d als

Classify the quadrilateral as precisely as possible Select one A kite B rectangle C square D rhombus E parallelogram F isosceles trapezoid

or problems 6 and 7 use the figure below 6 2X Classify the quadrilateral Select one 2y 2 a square Ob rhombus c parallelogram d rectangle Find the values of x and y Note Input answer as x y

Find the value of the variables Note Input answer as x y A B 2x 10 2x 10 Nor y 20 C D

Choose the quadrilaterals that have the given property Diagonals are perpendicular Check all that apply Select one or more A square B parallelogram C rectangle D rhombus

Find the value of the variables Note Input answer as x y B A 5x 1 2x 21 C D 4x 2

In the figure at the right AB CD EF Find AE Select one A 10 3 B 20 6 C 10 D 5 B 10 3 C 10 10 E F

Classify the quadrilateral as precisely as possible E Select one A kite B isosceles trapezoid OC rectangle D rhombus OE square F parallelogram 4

For problems 4 and 5 use the figure below 58 to you Classify the quadrilateral Select one A square OB rhombus C parallelogram OD rectangle

If Y yellow and F Females translate the expression P Y F What is the probability that person chosen prefers given since when yellow red they are

Find the first 4 terms in the expansion of 1 x 2 8 Select one O a O b O c 1 8x2 28x3 56x1 Od 1 8x2 28x4 56x5 1 8x2 28x4 56x6 1 8x2 28x3 56x4

Suppose you took a 10 question quiz What is the probability you could get 3 questions correct by random guessing if each question has 4 choices Select one a 33 b 12 C 8 d 25

There are 16 marbles 5 are red and 11 are blue Use binomial probability to find the probability of choosing 3 reds and 1 blue with replacement Select one O a 27 b 12 c 16 d 8

Find the first 4 terms in the expansion of 1 x2 8 Use your answer to find the value of 1 01 8 Select one a 0 0823 b 1 838 c 1 083 Od 1

The following expression is known as the Binomial Theorem 1 b 1 C b C b2 Cb bn Select one True False

Find the first 4 terms in the binomial expansion of 1 4x 6 Select one Ca 1 24x 240x 128x O b 1 24x 24x 1280x3 O c 1 24x 240x 1280x O d 1 24x 240x 1280x

A bag contains 10 beads 2 black 3 white and 5 red A bead is selected at random The probability of selecting three red beads without replacing them is This is al independent dependent ambiguous event

A die with 12 sides is rolled What is the probability of rolling a number less than 11 Select one O a 1 2 b 5 6 O c 11 12 5 10 O d

Complete the following 7P4 7P3

If a certain job A can be performed in P different ways followed by another job B which can be performed in Q different ways then task A followed by task B can be perfomed in P x Q ways Select one True False

A regular decagon has a radius of 8 cm What is the approximate area of the decagon Recall that a decagon is a polygon with 10 sides O 188 cm O 198 cm O 304 cm O 375 cm

In deductive reasoning you start from a set of rules and conditions to determine what must be true O A induced B hypothetical C unknown D given

35p Classify the PDE n 1 2urz y2n Uyy ny2n uy for any integer n 1 and find its general solution by obtaining its CANONICAL FORM

6 Graph one cycle of the graph of f Label the intercepts and the high low points a f x 3cos 4x x 2 f x 4 sin x 1 4 8 f x 4 tan x f x 5 sin 2x b d

Given a 31 7 2k and b xi 4j 1k find x when a b 4

Consider the triangle 9 m A 15 m 12 m B

Use graphs to find the set 5 8 n 3 9 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The set is Type your answer in interval notation C B The set is the empty set

If a 31 4 and b 71 8 then a b round to the hundredth place W

If a vector a has a magnitude of 6 3 and b has a magnitude of 6 7 and the angle between them is approximately 136 2 what is the value of b Round to the nearest tenth

Given a 2 5 choose any vectors which would be orthoganal Select one or more a 5 2 b 5 2 C 2 5 d 2 5

and fb are orthogonal If a 4 5 and b x y then the ratio

How can we conclude that a and bare perpendicular if a b 0 Select one a If the vectors are perpendicular the magnitude of one of the vectors would be zero so the dot product would be zero Ob The graph of the vectors are in opposite quadrants Oc None of these Od The slopes of the vectors are reciprocals of one another

The dot product of two vectors is Select one O a an integer O b O c Od a vector a magnitude a real number

Solve the equation below Give exact solutions in simplified form Do not change fractions to decimals x 3x 4

Given the following vectors find 2a b 4 4 Select one O a 14 13 12 K 10 9 4 7 26 6 4 1 10 11

Vectors have some properties that are similar to real numbers Match the following k u v ku ku Choose 1 u k mi km v v u Choose Choose Choose Commutative Distributive Property

If u 2 4 and 7 4 6 then 2u A ww S A 10

If u 2 4 and 4 6 then what is the magnitude of 2 1 Round to the nearest hundredth

P Select one or more a 4 s A 4 P 87 6j 27 2j b 77 107 8 j c 2 0 57 3j 2 2 2j d 327 67 127 14j

Find the sum of the following vectors 4 7 and 3 8 A

Given 6 3 Choose the correct statements Select one or more a The direction of the vector is approximately 27 b This vector has a magnitude of 3 5 C c The direction of the vector is approximately 333 d This vector has an absolute value of 6 71 e The vector has a magnitude of 20

What is the directional angle for this vector 34 2 5 Round to the nearest degree 45 0 5 B 0 5 2 25

12 Let K be the midpoint of the side AB in ABCD and L divide diagonal AC in the ratio of AL LC 3 1 Then KLD A O O A 80 O Ko O B B 85 C 90 D 95 L D O

Given the triangle ABC if side b is 33 ft side c is 18 ft and angle A is 52 find side a Please round to one decimal Select one O a 37 6 ft O b 26 1 ft Oc 27 7 ft d 21 8 ft

or k is a zero of this polynomial If not determine p k p x 8x 4 14x 3 10x 2 26x 10 k 1

nd an orthonormal basis fort he solution spcae of the homogeneous system x y z 0 2x y 2z 0

Check whether the point lies on the line having the equation y 3x 2

a Describe the difference between que Apply your understanding of order of 3 15 8 2 9 14

Find the term indicated in the expansion x 3y 11 8th term