2D Geometry Questions and Answers

Evelyn is recording what kinds of shoes people are wearing at the mall sandals sneakers loafers 6 high heels 6 boots 3 4 LO 5 What is the experimental probability that the next person Evelyn sees will be wearing loafers Simplify your answer and write it as a fraction or whole number P loafers

From his eye which stands 1 63 meters above the ground Isaac measures the angle of elevation to the top of a prominent skyscraper to be 17 If he is standing at a horizontal distance of 294 meters from the base of the skyscraper what is the height of the skyscraper Round your answer to the nearest hundredth of a meter if necessary 0

You pick a card at random 6 7 7 8 9 What is P divisor of 27 Write your answer as a percentage

Sebastian s Bagel Shop recorded how many bagels it recently sold in each flavor plain bagels onion bagels poppy seed bagels 6 6 4 What is the experimental probability that the next bagel sold will be a poppy seed bagel Simplify your answer and write it as a fraction or whole number P poppy seed bagel

Plot the point 1 3 given in polar coordinates and find other polar coordinates r 0 of the point for which the following are true 1 3 a r 0 2x 0 0 b r 0 0 0 2 c r 0 2 0 4T OB a What are the coordinates of the point for which r 0 2x 0 0 O D Q G

5 G 6 8 10 12 Part A Which three equations define sides a b and c7 A a y 7 cb x 7 E c 4 Part B What is the equation of the circle OA x 7 2 8 OC x 7 8 2 16 H a y 8 D b x 8 F c 16 OB x 8 2 y 7 4 OD x 8 y 7 16

You roll a 6 sided die What is P not prime Write your answer as a percentage

Radius Center olve for the 11 Given the graph of the circle complete the following Equation M 200 u 3 u x 31 x 1 4 10 Find Assume lines which appear to be tangent are tangent 3r 1 Ar 11 12 Find the measure of the arc indicited Assume the lines the appear to be diameters are diameters mFHJ G 51 H 60

18 Solve for x in circle D D E to F 116

3 Solve for the 7 5 Solve for x 75 9x 1 98 125 3 4 Find the segment length Assume lines which appear to be tangent are tangent 9 8 4 Find arc length 75 11 m 6 Solve for the C G 125 4 2 F E 40 8 Find the perimeter of each polygon Assume that lines which appear to be tangent are tangent d D 12 2

Watch help vide A boat is heading water The boat s ship s horizontal d

Which rule explains why these triangles are congruent Q U HHH SAS SSS VS W H HHH AAS T These triangles cannot be ASA

Boats from all along the Atlantic coast were moored at a busy marina one summer day Of the 16 boats at the marina 8 were from Maine What is the probability that a randomly selected boat will be from Maine Write your answer as a fraction or whole number P Maine

Which rule explains why these triangles are congruent U V W SSS SAS X AAS These triangles cannot be proven cond quent ASA

You spin the spinner once 9 7 Submit 8 What is P not 7 Write your answer as a fraction or whole number

Given mn find the value of x 9x 23 10x 6

Three hours after Train A departs a terminal its location is 120 45 Five hours after departure its location is 174 5 Write a set of parametric equations to describe the train s travel Kumbe mfung

3 Please use the space below to accurately make the following angles Please indicate each angle and label each one accordingly Use arrows to indicate the angles a Angle XYZ 45 degrees b Angle ACB 210 degrees c Angle BCA 135 degrees Piscet d Angle TYZ 330 degrees ONGOING ASSE love 8 marks 2 marks

a b State the Law of Right Triangles Verbally Algebraically

4 Solve this question Two legs of a step ladder are each 4 metres long The angle formed between the two legs is 30 degrees Make a labelled scale drawing of the ladder using the scale 1cm 0 5 metres and fill in the blanks below The distance between the legs of the ladder at the ground is ng and the ground is metres degrees

In the trapezoid at right AB is parallel to DC AB DC 1 3 and the area of triangle ABE is 6 Determine with full justification the areas of the other three triangles in this diagram D A E B

Calculate the length of the third side in each of the triangles below 4 marks a 24 cm 52 cm 7 cm pare ma

e a straight angle PYQ blaster g an obtuse angle ACB i a parallelogram ABCD f a right angled triangle h two parallel lines j an acute angle DBN

6 Accurately construct and label the rectangle ABCD having a length of 6 cm and a width of 4 cm 2 marks

2 Please fill in each of the blanks a A flat surface of infinite extent is a b An exact location in space is a c The symbol we use to represent an angle is d The symbol we use to represent a triangle is e There are f A right angle is g There are degrees in one complete circle i A five sided figure is called a degrees degrees in a straight angle h Any figure having three or more sides is known as a ONGOING ASSES 10 marks j Squares rectangles and parallelograms are special types of four sided figures In general four sided figures are called

The distance between the legs of the ladder at the ground is The angle formed between each leg and the ground is 5 Please follow the instructions given below Using a protractor draw an angle of 140 degrees Label the angle ABC Bisect the angle with the line BD Diagram Bre metres degrees 2 marks

1 Please draw a sketch of each of the following figures Please label all sketches as fully as possible a a rectangle ABCD c a scalene triangle XYZ 10 marks 1 marks each b an isosceles triangle DEF d a right angle ACB

The dimension is 1 5 Round to the nearest hur

41 Beginning with the Koch curve with

Ms Crozier s class went outside on a sunny day and measured the height of a trash can to b feet tall The trash can s shadow was 1 5 feet long At the same time they measured the sha of a tree to be 7 feet long How tall was the tree a Explain how they could calculate the height of the tree and show your answer b What is a different way to do the calculation

t P x y 2 Points 971 2 DETAILS Find the terminal point P x y on the unit circle determined by the given value of t CHI 16

6 5 4 3 2 7 6 5 4 3 2 1 1 2 3 1 2 3 4 5 6 1 5 fot q 6 The graph above is a transformation of the function f x Write an equation for the function graphed above a x

Know it Note 7 4 THINK AND DISCUSS 1 XY BC Use what you know about similarity and proportionality to state as many different proportions as possible 2 GET ORGANIZED Copy and complete the graphic organizer Draw a figure for each proportionality theorem or corollary and then measure it Use your measurements to write an if then statement about each figure A Conv of A Proportionality Proportionality Thm Thm B Proportionality MATHEMATICAL PRACTICES CACAL 2 Transv Proportionality Corollary A Bisector Thm Learn It Online Homework Help Online Parent Resources Online SEE EXAMPLE 4 pendent Practice For See Bercises Example 1 1 9 10 11 2 12 3 13 14 4 Extra Practice els Practice for Sus Practice and Alations Practice acles Find the length 6 QR and RS 12 X PRACTIC Find the lengt 8 KL G Verify that th 10 AB and

The largest species of jell specimen weighs 156 kilo

Sketch the region D x y z x y 16 0 sz 2 x

If mPGV 211 and mIC 45 find m IFC C F e P 9 V

Watch help video If mRJX 213 and mSV 53 find m RUX R U S X

Watch help video XZ is tangent to circle O at point X If m SXZ 68 find mXS S Z X

Find the area of Triangle ABC if b 19 2 B 53 8 C 65 4

For triangle ABC we are given that m C 28 8 AC 26 9 in and BC 11 5 in We can use the Law of Cosines Law of Sines and other properties of triangles to determine all of the missing information Note that the diagram may not be drawn to scale a AB Determine all of the missing information about this triangle A c m A d m B 26 9 in inches Preview b Draw the triangle and add the length of AB to your diagram degrees Preview B Preview 11 5 in 28 8 C degrees Note that this question allows you to use trig functions that evaluate for angle measures in degrees To remind yourself how to evaluate trig functions for angle measures in degrees in this program click here

6 Graph one cycle of the following function y 3 cos Show all work C3 A3 marks 20 1 2TT

13 Create a graph with five vertices and exactly four Which of the following graphs has five vertices a O A B 0

er 13 Use Fleury s algorithm to find an Euler circuit Choose the correct answer below OA F D H F G D C A G E A B E F OB F G E D A H C B F

er 13 K VISCUISSE The map shows the states Tennessee Alabama Georgia TN AAS MS AL GA

JK is tangent to circle O at point J and JE is a secant line If mJ FE 238 find m EJK K E J F

A state s license plates consist of three letters followed by four numerals and 240 letter arrangements are not allowed How many plates can the state issue plates

uppose that a family wants to have four children Enter the probabilities as fractions a What is the sample space Let 8 represent a boy and G represent a girl To indicate that the first child is a boy the second child is a boy the third child is a boy and the fourth child is a girl enter BBBG Enter your answers as a comma separated list b What is the probability of 4 girls What is the probability of 4 boys c What is the probability of 1 girl and 3 boys What is the probability of 1 boy and 3 girls d What is the probability of 2 boys and 2 girls e What is the sum of your answers in parts b d

Discuss the logical statement in engineering term what is a conditional statement in logic What is the importance of conditional statements

Are these two triangles similar 12 18 30

D What is the probability of drawing two King 4 44 42 4 5 20 2 2 4 4