2D Geometry Questions and Answers

1 The ratio of the sides of a triangle is 2 6 7 If the perimeter of the triangle is 195 meters what is the length of the longest side

6 This shape is BEST described as being a n 7 Based on this type of triangle we know that y 8 Find the measures of x and y X y degrees degrees

Solve for x and find the perimeter of AABC x 3 D 4x 9 8 C B

9 The area of a rectangle is 15 square inches If the length of the rectangle is 2 more than the width find the length and width length width inches inches

7 Find the area of the following figure The units are in hectometers 2 10

Write parametric equations on a restricted interval for t to define the given graph Use only the given points when finding equations The parametric equations are x and y A for Osts 1 X G

9 How many paths are from A to B You can only travel South and East A

In 2021 an everything bagel from the Einstein Bros in Centennial Hall cost 0 89 In 2023 that same bagel cost 1 09 The linear function f t that models the price in dollars of an everything bagel t years after 2021 is Of t 0 89 0 1z Of t 0 89 0 1z Of t 1 09 0 1r Of t 1 09 0 12

A B A parallelepiped is determined by the vectors OA 2 2 5 OB 0 4 1 and oc 0 5 1 Based on the diagram calculate its volume

Let SinA 15 17 with A in Q11 and sinB 4 with Bin 5 Q111 find sinCA B cos A B and tean A B

5 Explain the process that you would go through to determine the height of this triangle B i U Font Family AA A

3 Set up an equation to solve for x x 1 2x 1 Input your answers WITHOUT spaces 4 Solve for x X 5 Find A B C by plugging in your answer from the last question in for

1 Set up an equation to solve for x X 90 2 Solve for x X 11 degrees

Q st nd mids and 000 Question 9 Find the perimeter of the trapezoid shown in the gr D Points 4 A 2 6 O 4 units O 8 units Y 2 0 2 O 17 66 units B 2 C X

Question 7 Points 3 A triangle has the coordinates A 4 4 B 8 4 and C 6 6 Identify the nature of the triangle Isosceles triangle Equilateral triangle O Right triangle Scalene triangle

000 Question 2 Points 3 Find the perimeter of the parallelogram whose vertices are represented by the coordinates A 7 7 B 13 7 C 12 6 and D 6 6 O2 units O 2 2 units O 12 2 2 units O 12 units

500 000 Question 6 Points 2 The coordinates of the polygon are A 0 0 B 0 6 C 6 6 and D 6 0 Find the area of the polygon O 36 square units O 12 square units O 30 square units O 16 square units Complete Later Complete

00 000 Question 3 Points 1 If A x y and B x2 y are the two points on a horizontal line then the distance between the two points is O X2 X 1 O x2 x11 O Iy2 yil Oly y l

ivities tion 8 5 What is the volume of the cone that has the same ba the cylinder as shown below 1 Tell me what you want t n Points 3 esson Posttest 8 in h 14 Volume and ace Area of Pyramids Sphere lume and isms 21 in O 360 in 400 in O 352 in

Question 1 Find the distance between the points 4 3 and 3 4 O 2 7 O 7 O 14 Points 1 O 7 2

vie Online Soap2day Tell me what you want to do a on 7 Points 2 e height of the pyramid is 15 meters the length of the base meters and the width of the base is 4 meters Find the volume of the rectangle based pyramid O 160 m O 190 m O 200 m 220 m Complete Later Comple

Activities estion 5 d Ims graderesults Tell me what you want to do Q Points 2 200 Find the area of the circle from the given figure Use 3 13 Cavaliers Ciple Part II 13 1 Lesson and esson Posttest njds 4 cm 50 24 cm 112 10 cm m

Unit 4 Geometric Measurement and Dimension esson Posttest Lesson 13 Cavaliers Principle Part II 13 1 Lesson me and ramids US ane Area and heter on Coordinate 00 00 Question 3 Identify the correct formula to calculate the volume of a triangu based pyramid Complete Later ities Points 1 Area of triangular base x radius 3 Height of the triangle x Height of the pyramid 3 Sides of base triangle x Height of the pyramid 3 Area of triangular base x Height of the pyramid 3 Comple vie Online Soap2day Tell me what you want to do Q Ims graderesults com Grade

Question 2 1 point Look at ZUVZ and WVZ in the image below nsaved U Which of the following is the best description for this pair of angles complementary acute straight supplementary W Question 3 1 point

point Identify all points and line segments in the picture below B A Points A B C D Line segments AB AD AC DC BC Points A B C D Line segments AD AC DC BC Points A B C D Linebegments Points A B AB BC CD AD BD AC Line segments AB AC DC BC

Find the mean median mode and standard deviation for the given frequency distribution Score x 1 Frequency f 2 pleas Fi 2 4 3 6 4 8 5 15 6 9 7 5 8 7 9 6

The circle below has center S Suppose that m QR 106 Find the following R Q P a m QPR O b m QSR

Use the compass and ruler to construct the line parallel to the line through the point P ex X E S U

Find the maximum value of s xy yz xz where x y z 24 The maximum valuo in

A vector v has initial point 3 2 and terminal point 6 1 Write v in component form 0 0 X

4 Which of the following statements is TRUE about rectangle ABC A O OAB AD O DE CE O ACAB 6 E 14 Calculato B C

The angles of elevation to an airplane from two points A and B on level ground are 56 and 720 respectively The points A and 8 are 2 1 miles apart and the airplane is east of both points in the same vertical pla a Draw a diagram that represents the problem Show the known quantities on the diagram 56 72 56 AA A4 72 B A 2 1 A 56 B d Find the distance the plane 2 1 x c Find the altitude of the plane Round your answer to two decimal places x mi A 56 b Find the distance between the plane and point B Round your answer to two decimal places X mit 2 1 fore it is directly above point Round your answe 2 1 B 72 rimal places B

In circle T with the measure of arc SU 92 find m STU T S

ty that the following equation is an identity tan 80 tan 80 tan 40 2 tan 40 To venty the identity start with the more complicated side and transform it to look like the other side Choose the correct transformation and transform the expression a tan 80 tan 80 tan 40 0 Factor out the greatest common factor Apply an even odd identity Apply a cofunction identity

In Geometry many types of angles are studied Please match the measure of an angle with its name or classification 126 90 39 180 8 0 Choose Straight Null Acute Right Obtuse Choose Choose Choose

Which of the following equations represents all the points in a plane that are equidistant from the ordered pair 7 2 O x 7 4 y 2 y 2 8 2 7 1 where a b y 2 6 O 7 y 2 p 1 where a b

A plane is flying with an airspeed of 140 miles per hour and heading of 155 The wind currents are running at 40 miles per hour at 175 clockwise from due north Use vectors to find the true course and ground speed of the plane Round to the nearest whole number True Course Ground Speed miles per hour

Solve by tan a sin a sin x 0 2 X Select 6 correct answer s 0 GP 3 5n 3 5x 6 B TU 5

sec x 5 0 2 X If there is no solution write no solution If needed round to the nearest hundredth 2 decimal places If there is more than one answer separate them with a comma with no spac between symbols for example 1 23 9 87

A tourist is going to ride a cable car up a mountain near Lake Tahoe He knows that the elevation at the base of the mountain is 4530 feet and that the top of the mountain reaches 6976 feet If the angle of ascent for the cable car line is 55 degrees 33 20 how far does the cable car travel Round your answer to the nearest foot

2 Which of the following is NOT true about how f x arctan 3 x 5 n 3 x 5 8 compares with its parent function O Vertically translated 8 units down Reflection across the y axis O Horizontally stretched by a factor of 3 Horizontally translated 5 units right

Between 12 00 PM and 1 00 PM cars arrive at a local bank s drive thru at the rate of 4 cars per hour 0 07 car per minute The formula below from probability can be used to determine the probability that a car will arrive withir minutes of 12 00 PM Use this information to answer the questions given below in parts a e F t 1 e 0 07t a What is the probability that a car will arrive within 20 minutes of 12 00 PM that is before 12 20 PM

Identify the points of intersection and sketch the graph of the solution to the system of inequalities y 2x y 2 3

Use the Pythagorean Theorem to determine the missing side of the following right triangle X 48 50

Organizational culture is important as it integrates members so that they know how to relate to one another and helps the organization adapt to the external environment True False

Question 6 Points 4 In what ratio does the point 2 4 divide the line joining the points 6 8 and 2 0 O 1 1 O 1 2 O 2 1 2 3

Find the midpoint of the line segment joining the points 6 2 and 10 2 O 0 1 O 8 3 O 8 0 O 5 2

on Posttest Question 8 Points 2 Find the midpoint between the two points P 12 6 and Q 4 2 O 6 2 8 2 O 8 4 O 2 4 RE R

Lesson Posttest Question 4 Points 2 The origin is the midpoint of a line segment with one end point 6 6 Find the other endpoint O 6 6 O 6 6 O 6 6 O 0 6

Question 2 Find the point that divides the line segment AB whose endpoints are 1 2 and 3 4 in the ratio 1 2 8 O 5 3 Points 2 O 5 8