2D Geometry Questions and Answers

es r 2 1 mLABE m2EAB 32 m2BEA 90 mzBEA m2EAB m2ABE 180 90 32 x 180 122 x 180 x 58 mLABE 58 Your Turn 1 According to the four kite theorems label the kites appropriately If a quadrilateral is a kite then If a quadrilateral is a kite then In kite ABCD mzEAB 32 and mzBCE 62 Given Property that diagonals of a kite are perpendicular A ABE is a right triangle Substitute Combine like terms Subtract 122 on both sides Kite Theorems If a quadrilateral is a kite then 2 In kite WYZ DYXV 42 and mDYZV 30 Find mDXYV If a quadrilateral is a kite then g

Use the given information to determine whether the quadrilateral is necessarily a rectangle Explain your reasoning 2 Given EF GH FG HE FH GE E H

Lashondra lives in Connecticut which has a sales tax of 6 She just bought a pair of running shoes whose full price was 130 but she presented the retailer with a coupon for 20 which the retailer accepted What was the total amount that Lashondra paid O A 117 80 OB 137 80 OC 116 60 OD 110 00

Daisy wants to buy a car battery that has a full price of 85 plus a 6 sales tax Which is the better offer a 20 off sale or a 15 coupon OA The 15 coupon is better because Daisy will pay a total of 75 10 OB The 20 off sale is better because Daisy will pay a total of 72 08 OC The 15 coupon is better because Daisy will pay a total of 70 D The 20 off sale is better because Daisy will pay a total of 68

If a customer bought an item that had a full price of 850 from a retailer how much in total will the retailer receive in the end if the customer used a coupon for 150 OA Less than 700 O B 700 O C More than 700 but less than 850 D 850

If a customer bought an item from a retailer and eventually received a 27 25 rebate check in the mail after sending in a rebate form which of these transactions occurred OA The retailer sent the customer a check for 27 25 directly B The manufacturer of the item sent the retailer a check for 27 25 who then passed it along to the customer C The retailer sent the manufacturer of the item a check for 27 25 who then passed it along to the customer D The manufacturer of the item sent the customer a check for 27 25 directly

Eunice lives in Indiana which has a sales tax of 7 She just bought a couch whose full price was 1200 but she got 20 off because the store was having a sale What was the total amount that Eunice paid OA 1284 00 OB 1339 20 O C 1027 20 OD 960 00

Lyle has had his eye on a leather jacket at a clothing store for a long time but at a price of 450 it has always been a little bit more than his budget could handle However today he saw a sign in the window that said Leather Jackets 30 off Which type of discount is this OA A rebate OB A sale C A coupon D A gift card

Forrest bought a toaster that was discounted 15 If the original price of the toaster was 14 99 and he paid 5 sales tax what was his total at checkout OA 16 02 B 13 92 OC 15 72 D 13 38

Veronica bought a purse for 25 off its full price What was the full price of the purse if Veronica paid 35 85 before sales tax OA 60 85 OB 36 10 C 59 75 OD 47 80

The measure of the quality of a person s life based on income and the type and quantity of goods available to him or her is A standard of living OB housing OC a budget D utilities

What is the unit price of a quart of iced tea for 1 19 O A 5 10 fl oz OB 6 60 oz O C 4 76 lb O D 4 76 gallon Brichy SHORT

Ashlynn heard that as a general rule she should spend no more than on week s pay on rent If Ashlynn s salary is 32 400 per year what is the maximum amount per month that she should spend on rent A 2700 B 623 C 1890 D 972

Horace wants to buy a pound of pecans If a 1 pound bag costs 8 65 and a 4 ounce bag costs 2 35 how much money would Horace save by buying the 1 pound bag instead of multiple 4 ounce bags OA 6 30 B 0 75 C 3 95 D 1 60

Gilbert s employer matches 12 of Gilbert s contributions to his 401 k plan If Gilbert s employer contributed 600 to the plan last year how much did Gilbert contribute to the plan last year A 7200 B 5600 C 4400 D 5000

A personal trainer makes 25 000 per year and has just begun contributing 6 of his salary to his 401 k plan If his employer matches 9 of his contributions how much will have been contributed to the 401 k plan after 4 years O A 1635 OB 6000 O C 1500 OD 6540

Lucy s employer pays 70 of the total cost of her family s health insurance plan while Lucy pays the rest If the total cost of the plan will increase from 450 per month to 650 per month how much more will Lucy have to pay each month O A 135 OB 200 O C 195 O D 60

Gretchen just got a new credit card that offers an introductory APR of 4 8 for the first 4 months and a standard APR of 15 6 thereafter If interest is compounded monthly what is the periodic interest rate during the first 4 months OA 1 2 OB 0 4 OC 0 6 D 1 3

The figure at the right shows an angle 0 in standard position with its terminal side 15 8 intersecting the unit circle at P Evaluate the circular functions at 0 17 17 sin 0 Type an integer or a simplified fraction tratar cult VESELE Ay 0 P 10 X 1 0

I Determine the point on the graph of the unit circle that corresponds to 2 T findcos andsin 2 T 2 and state which functions are undefined for I 2 The point on the unit circle is ordorod pair Tyne an integer or a simplified fraction Then COLLE C 1 0 R Ay 0 1 0 0 1 1 0 G

Determine the point on the graph of the unit circle that corresponds to Then findcos andsin and state which functions are undefined for The point on the unit circle is cimplified fraction 1 0 2 2 0 1 0 1 0 0 1 N

SCOR The figure at the right shows an angle 0 in standard position with its terminal side intersecting the unit circle at 5 12 Evaluate the circular P 13 13 functions at 0 sin 0 Tyne an integer or a simplified fraction P Ay X 1 0 G C

The opening balance of one of the 31 day billing cycles for Suzy s was 7400 but after 15 days Suzy made a payment of 4900 to decrease her balance and it stayed the same for the remainder of the billing cycle If her credit card s APR is 22 how much more in interest would she pay for the billing cycle with the previous balance method than with the adjusted balance method O A 46 71 OB 91 56 OC 138 27 D 184 98

Sergei has a credit card that uses the average daily balance method For the first 12 days of one of his billing cycles his balance was 350 and for the last 18 days of the billing cycle his balance was 520 If his credit card s APR is 14 which of these expressions could be used to calculate the amount Sergei was charged in interest for the billing cycle O A O B O C 0 14 365 0 14 365 0 14 365 30 0 31 12 350 18 520 30 31 18 350 12 520 31 12 350 18 520 31

36 X y 20 21 22

4 1 2 2 X

Armando has a credit card that uses the adjusted balance method For the First 10 days of one of his 30 day billing cycles his balance was 2500 He then made a payment of 1600 so his balance decreased to 900 and it remained that amount for the next 10 days Armando then made a purchase for 1300 so his balance for the last 10 days of the billing cycle was 2200 If his credit card s APR is 33 how much was Armando charged in interest for the billing cycle OA 59 67 B 67 81 OC 24 41 OD 35 26

8 5 4 3 X

8 5 4 3 X

0 11 x 4 2x 9 12 12 6 10

A3 foot laddez 80

Michelle s house is 22 miles due north of Jan s house and 30 northeast of Richard s house Richard s house is due east of Jan s house How far is it from Michelle s house to Richard s house

A ramp is used to load a 4 wheeler onto a truck bed that is 3 feet above the ground The angle that the ramp makes with the ground is 32 What is the horizontal distance covered by the ramp Round to the nearest hundredth

4 hh th 67 12 orizontal Fin howght of the

2 or is If hard s 6 at the ramp 25 groun Wh is the ho the ramp Ro the nearest

A4 h 7 12 Assumin ving is hid 23

A1 oot s set Le 410

Use the figure to determine the radian measure of angle 0 0

How long is an arc intercepted by the given central angle in a circle of radius 12 04 mi 120 The length of the intercepted arc is approximately Round to the nearest hundredth mi

Find the measure in degrees not equal to the given measure of the least positive angle that is coterminal with A A 214 The measure of the least positive coterminal angle is Simplify your answer

Give an expression that generates all angles coterminal with the given angle 360 0 The correct expression is 360 Type an equation using n as the variable

1 2 y 14 7 y 15 X

Find the geometric mean of each pair of numbers Round answer to nearest tenth 1 32 and 8 2 4 and 16 3 11 and 7

4 2 and 22 5 10 and 20 6 30 and 6

9 9 9 0 Write your answers as integers or as proper or improper fractions in simplest form q or q

v 45 Write your answer in simplified rationalized form V 0 or v

What type of solutions does this equation have q 4 one real solution two imaginary solutions no solutions two JETAR

What is the length of AC C B R4 8 O 19 O 18 O 17 O 16 Q 15 P A

Find the length of segment x 6 12 4 O X ONLY TYPE THE VALUE OF X

Mario created a circular mosaic pattern with a central angle cutout which will be blank Approximately how many square inches of space are blank O 1 57 O 2 50 4 71 9 42