2D Geometry Questions and Answers

If two pyramids are similar and the ratio between the lengths of their edges is 4 9 what is the ratio of their volumes O A 16 81 O B 81 16 O C 4 9 D 64 729

If the ratio between the radii of the two spheres is 3 7 what is the ratio of their volumes OA 27 343 OB 21 49 C 9 49 7 3

The two solids are similar and the ratio between the lengths of their edges is 2 9 What is the ratio of their surface areas O A 8 36 B 4 18 C 4 81 161 18 36 8

If two cylinders are similar and the ratio between the lengths of their edges is 4 3 what is the ratio of their volumes A 16 9 B 4 3 C 64 27 D 16 27

List the angles of each triangle in order from smallest to greatest 1 7 5 3 4 2 6 A 25 21 13 N 6 38 28 R 26 O

7 P 7 cm R 13 cm 11 cm 8 5 5 ft M 6 ft 1 ft N 9 Q 1 9 cm s 4 1 cm 4 0 cm R

The lengths of the sides of a triangle are given Classify each triangle as acute right or obtuse 10 21 15 8 11 20 16 12 12 6 5 4

List the sides of each triangle in order from shortest to longest 2 B 41 56 0 3 75 107 R

1 2 3 Directions Complete the table below by listing the attributes of each shape Write zero 0 or N A if the attribute does not apply For columns B D and E write the names using words not symbols A Shape O B Name of Shape SPhere 1 cone C Number of Face s include bases in this number Cylinder Pyramia 2 Triangle E Pyram 3 5 Rectangle Prime 6 3 D Shape of Face s circular curved No circular Triangle E Rectangular Face F Shape of Base s curved curved Lateral square Square Triangular Triangle F Number of Straight Edges 4 2 8 12 9 G Apex O O 5 8

AC is tangent to circle O at point C What is the length of AC units MORAL A B O C 3 MOHO MOKO A WERE SHEPPADE AVVER GERI

All sides of quadrilateral ABCD are tangent to circle P What is the perimeter of the quadrilateral below units 12 0 P B

AC is tangent to circle O at point C What is the measure of ZOAC B O 45 C

Angle A is circumscribed about circle O What is the measure of ZD O A C 80 O B D

The Griffins and the Corbins live in the same city and pay the same sales tax rate and both families made 12 000 in taxable purchases last year If the Griffins made 73 000 and the Corbins made 29 000 last year is the sales tax in their city an example of a regressive tax A Yes because the Corbins paid a higher percentage of their income in sales tax than the Griffins did OB Yes because the Griffins and the Corbins both paid the same sales tax rate OC No because the Griffins and the Corbins both paid the same sales tax rate OD No because the Corbins paid a higher percentage of their income

Orlando lives in South Dakota and pays 4 in sales tax He bought a refrigerator and the amount he paid after sales tax was applied was 2749 87 What was the approximate cost of the refrigerator before sales tax was applied O A 2859 86 O B 2760 87 C 2644 11 D 2738 91

Devin was born in Minnesota but now he lives in lowa close to where Wisconsin and Illinois meet He works in Wisconsin but he buys all of clothes at a store in Illinois If the sales tax rates for the four states are shown in the following table which sales tax rate does Devin pay on th clothes he buys O A 6 25 B 6 875 State Illinois lowa Minnesota Wisconsin Sales Tax Rate 6 25 6 6 875 5

2 A bicycle has wheels that are 27 inches in diameter How many revolutions per second do the wheels rotate when cycling at 30 km h 1 inch2 54cm Round to all revolutions

Rationalize each denominator answer in simplest radical form 12 TA

10 in 6 in 17 in

10 3 5

List of Perfect Squares 4 9 16 25 36 49 64 81 100 Completely simplify each radical expression 1 63 2 112

Find the values of x y and z X 20 Y 1809 2 160 A 20 X

Give an example from the image of each kind of segment a diameter a chord that is not a diameter a radius B D C E

Find the values of x y and z X 20 N A 20 X

Rose took out a 16 year loan for 43 000 at an APR of 4 1 compounded monthly while Yolanda took out a 16 year loan for 83 000 at an APR of 4 1 compounded monthly Who would save more by paying off her loan 7 years early OA Yolanda would save more since she has 40 000 more in principal B Rose would save more since she has 40 000 less in principal C Yolanda would save more since she has 40 000 less in principal D Rose would save more since she has 40 000 more in principal

Let P be a point on the graph of y x The tangent line at P will intersect the graph at the point Q a If P has x coordinate a then what is the equation of the tangent line at P y x b The line in a will intersect the curve y x in two places one of these is P and the other point is Hint This part involves factoring a cubic in x In general this may be difficult However in this case since we know point P is an intersection point x a must be a solution so x a must be a factor You should now be able to fac c The ratio of the slope of the curve at Q to the slope at P is

6 in 3 in 5 20 yd 16 yd 6 16 in 17 in

7 4 5 in 2 in 16 in 8 9 ft K 8 ft 9 ft 9 4 yd x 3 2 yd 3 2 yd

Use Pythagorean s theorem to find the value of x in each triangle Answer in simplest radical form no decimals 5 cm 1 3 4 cm 2 3 Worksheet 7 2 15 cm 17 cm 14 ft X 10 ft

10 12 cm X 4 3 cm 3 cm 11 5 mm 5 mm X 7 mm 12 5 ft 11 ft 10 ft

A viewable screen of text is better than text that only can be read when you scroll Select one O True False

Sketch a net of the prism Then use the net to find the surface area of the prism by finding the sum of the areas of its faces cm 3 cm 5 cm 1 cm 5 cm 6 cm

The polygon shown is formed by joining unit squares on dot paper Find the perimeter of the polygon units

Changing Long Phrases to One Word Long Phrase In the event that At this point in time With regard to In the first place Is of the opinion that Due to the fact that Make revisions Take into consideration With the exception of One Word

Revise the following long sentences making them shorter 1 I will be calling you on May 31 to see if you have any question at that time 2 If I can be of any assistance to you in the evaluation of this proposal please feel free to give me a call

9 B H ABC bir dik gen m A 90 ve AH BC IBCI 6 1AHI IACI IABI Yukar daki verilere g re IABI IACI B 3 C 4 A 2 C toplam ka t r D 6 E

Question Write an equation for the line passes throug 5 1 and is parallel to the line 2x 5y 15 Solution Firstly we should find the slope If the lines are parallel then m m Consider the given equation 2x 5y 15 We can write it in the following form 2 y x 3

8 5 PUAN B C ABC e kenar geninde DE AC AD 4 DC ve m BDC a oldu una g re cota ka t r

Phillip decides to invest 800 000 in a period annuity that earns 5 2 APR compounded monthly for a period of 20 years How long will it take Phillip to earn back his initial investment OA 11 5 years OB 10 5 years O C 12 4 years O D 11 years

Which describes a financial product offered by insurance companies thal IL return for an investment provides fixed payments each month for the remainder of a person s life A Social Security O B Lifetime annuity C Period annuity

The scatterplot that represents the monthly values of stock QRS has an r value of 0 993 Which best describes the correlation of the graph OA Strong negative correlation B Strong positive correlation OC No correlation O D Weak correlation

What is the name for a measurement of how two variables are related O A Correlation OB Prediction C Regression

Day 1 2 23 3 4 5 Value 3 938 6 891 12 059 21 103 36 929 OA y 2 25 1 75 OB y 2 85 1 55 O C y 2 75 1 25 OD y 2 55 1 75

The equation y 94 38x 38 17 fits the scatterplot of the values for stock ABC over the past month with an r value of 0 9948 How much do you think ABC will be worth at x 47 days OA 38 17 B 4474 03 C 4752 31 D 94 38

The table below represents the closing prices of stock ABC for the last five days Using your calculator what is the equation of linear regression that fi these data Day 1 234 5 Value 24 31 23 31 23 01 23 16 23 27

Triunghiurile ABC i DEF sunt asemenea Afla i a perimetrul triunghiului ABC dac perimetrul triun ghiului DEF este egal cu 22 cm i 1 5 AB DE b coeficientul de propor ionalitate dac perimetrul triunghiului ABC este de 5 ori mai mare dec t al triunghiului DEF

Use vector 0 O A OB O C 1 to rotate 2 12 12 27 12 12 90 clockwise Identify the transform

AMNP dreptunghic m 4N 90 NR n l ime n triunghi a NR 4 cm RP 8 cm afla i MR MP MN NP

What is the length of the longer side What is the length of the shorter side ft 2x 1 7x 5x 6 ft 3x 3x 7x 4x 3 3x 2

To find the surface area of a three dimensional figure you must find the area of each of its faces and then multiply the areas OA True B False