2D Geometry Questions and Answers

A carpenter is constructing a new 32 foot wide house The carpenter needs to cut rafters that will rise at a 36angle and meet above the center line of the house If each rafter overhangs the side of the house by 2 feethow long must the rafters be to the nearest of a foot 2 36 2 32 121

Use the information in the diagram to determine the height of the tree The diagram is not to scale O 37 5 ft O 150 ft O 35 5 ft O 75 ft 150 ft H 000000 0000 00 0

What are the values of a and b 10 O a 6 8 b 9 2 15 2 9 2 16 b b b b b 13 2 9 2 15 2 15

Find mA The diagram is not to scale 118 O 107 O 117 O 73 63 104 96 115 A

Which statement is not necessarily true Given is the bisector of JL A DE ID K tay E L O DE 1 JL OK is the midpoint of JL

A triangular side of the Transamerica Pyramid Building in San Francisco California is 149 feet at its base If the distance from a base corner of the building to its peak is 859 feet how wide is the triangle halfway to the top Transamerica Pyramid 859 ft 149 ft 74 5 ft 149 ft 429 5 ft 200 859 ft

Find the exact value Do not use a calculator Use the method explained in class sin tan cos a Define angles a and B as part of the solution b State the domain restrictions to define the inverse tangent function and the inverse sine function c Draw appropriate diagrams for the reference angles

Write an equation for the function graphed below 7 6 5 3 1 2 67 a

B is the midpoint of AC D is the midpoint of CE and AE 21 Find BD The diagram is not to scale 21 A 11 5 10 5 42 B D

What is the value of x 3x 4x O 52 3 0 17 03 4 O 52 3x 7 5x 8

Given AABC APQR mZB 3v 4 and m4Q 8v 6 find mB and m4Q SO 11 O 10 022 25

4 Find the distance w in the figure when a 1 diamter plug is wedged between the flat surface and the 20 diameter 10 radius roller Round the answer to 3 decimal places Hint The centers of the two circles are important points to create right angle triangle PAR

LABC VA PA O ZPMN O ZNPM OZNMP O ZMNP B

What common angle do ACDG and AFCE share OZD OZF OZE C z D 53

How many small cubes with a side length of inch will fill this larger rectangular prism 2 in 72 2 in 63 3 2 in Moneuvering the Middle LLC 2017

D 1 Solve for x C is the center of the circle D a b A D 80 d BE 24 feet B X A 50 F A 1 B E A e A 68 C X E X C 62 D B B

What is the value of x D to 93 5 F Drawing not to scale O 86 5 O 43 25 E O 46 75 O 133 25

The following data includes the year make model mileage in thousands of miles and asking price in US dollars for each of 13 used Honda Odyssey minivans The data was collected from the Web site of the Seattle P I on April 25 2005 make model Honda Odyssey EXL 2004 Honda Odyssey EX 2002 Honda Odyssey 2002 Honda Odyssey Odyssey EX 2001 Honda Odyssey EX 2001 Honda 2000 Honda 2000 Honda Odyssey LX Odyssey EX 2000 Honda Odyssey EX 2000 1999 1998 1995 year 2004 Honda Odyssey Honda Odyssey Honda Odyssey Honda Odyssey EX 0 849 mileage 20 21 33 41 43 67 46 72 82 99 71 85 100 Compute the correlation between mileage and price for these minivans Assume the correlation conditions have been satisfied and round your answer to the nearest 0 001 X price 26900 23000 17500 18999 17200 18995 13900 15250 13200 11000 13900 8350 5800

One corner of a strip of paper a em wide is folded up so that it lies along the opposite edge see figure 1 Find the least possible for the fold length fold Figure 1 Visualization of the problem

The greenhouse pictured below can be modeled as a rectangular prism with a half cylinder on top The rectangular prism is 20 feet wide 12 feet high and 45 feet long The half cylinder has a diameter of 20 feet 12 ft 20 ft 45 ft Op To the nearest cubic foot what is the volume of the greenhouse 1 17 869 3 39 074

Find the value of x W S RD 11x 12 36 U T

Complete the truth tables below 15 p V q 16 p r

Name the major arc and find its measure D BDA 310 OAB 310 AB 50 OBDA 50 A B

7 Given the below diagram prove which congruence theorem will support each case DOK 4 C B E A a If ZBAC DCA state the congruence theorem and prove AABE ACDE D b If BD bisects AC and AC bisects BD state the theorem and prove the AABE ACDE CAR

Convert the following to logarithmic form x 4 2 k Select one O a log 4 2 k x O b logx 2 k 4 Oc logx 2 k 4 d log 4 2 k x

In the figure shown O a O b Oc Od B m AED 122 E D and C m BEC 58 BEC ZCED and m AEB 58 ZAEB ZDEC Which of the following statements is false are adjacent angles are vertical angles

If 4 64 Select one a 2 b 3 b C 4 d 3 solve for x

Find the standard form of the equation for the ellipse centered at 0 0 having vertical major axis of length 26 and minor axis of length 10 Graph the equation REER The equation of the ellipse in the standard form is Type exact answers using radicals as needed Use integers or fractions for any numbers in the equation 1

Solve the following equation 2x 1 3x Select one a 1 60 O b 1 73 O c 1 69 Od 1 71

Solve 82 64 find value of z Select one O a 2 Ob 1 2 OC 2 3 d 3 2

Solve the following equation 2x 82x 9 0 Select one Oa 3 2 Ob 9 3 c 9 3 Od 6 9

Find the x intercepts of the polynomial function State whether the graph crosses the x axis or touches the x axis and turns around at each interc 2 4 f x x 9x O A 0 touches the x axis and turns around 3 crosses the x axis 3 crosses the x axis OB 0 crosses the x axis 3 crosses the x axis 3 crosses the x axis OC 0 touches the x axis and turns around 9 touches the x axis and turns around O D 0 touches the x axis and turns around

Complete the following sentence The inverse of a line with a positive slope is always a line with a negative slope

The inverse of the function is the reflection of the function across the line y x Select one O True False

A function is defined by f x 4x Graph f x and f 1 x on the same axis 10 Select one a b 5 10 10 5 10 10 X X

A function f is defined by f x x2 Find f 2 Select one O a 3 O b 2 C 4 Od 1

Which graph is not a function Select one o a O b d y 3 44 X 3 13 y 3 x x 3

For what value of x is the figure a rectangle rectangle 6x X Y A Z AY XZ 5x

For what value of x is the given figure a rectangle rectangle B R 7x 2 5x 16 MB RO M

Determine whether the parallelogram is a rhombus a rectangle or a square Give the most precis description A parallelogram has perpendicular diagonals and angle measures of 45 135 45 and 135 Select one A rhombus B rectangle C square

For what value of x is the figure a rhombus rhombus 6x 32 17x 1

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