Geometry Questions

Today Javier put a cabinet on layaway by making a down payment of 80 and agreeing to pay 24 a month starting next month for 36 months When will Javier receive the cabinet A In 1 month B In 36 months OC In 24 months OD Today

Eduardo bought a refrigerator with a sticker price of 2400 If he paid 35 a week for two years what was the approximate markup rate on the refrigerator O A 51 7 OB 75 8 O C 65 9 OD 34 1

C 7 ABCD is a quadrilateral with BE ED Lesson 9 2 1 2 point each 8 A Geomat n a If AC 10 cm and EC 3x 7 for what value of x is ABCD a parallelogram Explain your reasoning Lesson 9 2 8 TRUE OR FALSE Determine whether the figure is a parallelogram for the given values of the variables Lesson 9 2 point each b Is there a type of parallelogram that would ensure the ABEC is an isosceles triangle Explain Lesson 9 3 2x 34 9y 3 10y 14 20x 16 D B a x 5 and y 11 b x 4 and y 2

The perimeter of rhombus EFGH is 48 cm and the measure of LFE 60 Lesson 9 3 1 2 point each F a What is the measure of GH b What is the measure of LEJF c What is the measure of LEHG a Rectangle 10 Find the value of x that makes each parallelogram the given type Lesson 9 4 1 2 point each B 9x 20 D 10x 8 b Rhombus E 2x 15 5x 3 60 G

Zoey put a 1040 item on layaway by making a down payment of 13 of the purchase price How much does she have left to pay after making the down payment OA 80 00 B 904 80 C 135 20 D 1040 00

earning Goal from Lesson 10 5 I can compute the area of triangles and rectangles in the coordinate plane I can compute the area of polygons in the coordinate plane 15 Find the area of quadrilateral ABCD and ARST Lesson 10 5 1 2 point A 16 The figure is symmetric about the x and y axis What is the area of the figure Lesson 10 5 1 point R D D C I got it How I Did Circle one Q B C 2 0 m To I m still learning it G 2 M N 7 9 B Checkpoint Score Total 15 1

ASSESSMENT Credit Checkpoint Complete the following problems Show all your work Learning Goal from Lesson 9 1 to 9 4 I can prove and apply the following theorems and their converse about parallelograms opposite sides are congruent opposite angles are congruent the diagonals of a parallelogram bisect each other rectangles rhombuses and squares are parallelograms with special properties a A diagonals bisect each other OB four right angles 1 Examine the properties listed below Determine which of the following properties are true for ALL parallelograms Select two that apply Lesson 9 1 1 2 point Copposite angles are congruent OD diagonals intersect at right angles How I Did Circle one I got it I m still learning it 2 Determine if each quadrilateral is a parallelogram Justify your answer Lesson 9 2 1 2 point each b

d swunder 3 If both pairs of opposite sides are parallel tell whether each figure is a parallelogram rectangle rhombus or square based on the information given Use the most specific name possible Lesson 9 1 9 3 1 2 point each y 10 y a F b n 4 Can a square be called a rhombus Explain why or why not Lesson 9 3 1 2 point F 5 Examine quadrilateral FGHI below In order to determine the length of each side of the parallelogram which of the following equations would need to be used Select two that apply Lesson 9 1 1 2 point WAIN G 9x 8x 6 H 11y O 0 A 8x 6 9x B 8x6 9x 360 C y 10 11y D y 10 11y 360 6 EFGH is a parallelogram Find the given side length Lesson 9 1 1 2 point each

Learning Goal from Lesson 9 5 I can prove theorems about geometric figures using triangle congruence and similarity b mzBAD 11 Quadrilateral ABCD is shown If m EBC 27 and m ADE 52 what is the measure of the following angles Lesson 9 5 1 2 point each a mzBCE A A Parallelogram B Rhombus C Rectangle D Isosceles Trapezoid E Kite How I Did Circle one S I got it 12 Find the value of n so that PQRS is an isosceles trapezoid Lesson 9 5 1 2 point R 10n 19 I m still learning it H 13 Circle the following quadrilaterals that must have congruent diagonal segments Lessons 9 1 9 5 1 2 point C 120 4 14 GIJL is a trapezoid with midsegment HK If I 7 cm and GL 15 cm what is the length of HK Lesson 9 5 1 point P K

a EF b EG 7y 14 15x 7 EE A 2y 21 12x F G

Gavin bought a boat with a sticker price of 6100 If he paid 390 a month for 24 months how much interest did he pay OA 4680 B 6100 C 3260 OD 9360

Which of these items are you most likely to buy with an installment loan A School books B Groceries C A house D A calculator

If HW If mbuses appropriately Conditions for Rhombuses then the parallelogram is a rhombus then the parallelogram is a rhombus then the parallelogram is a rhombus EVALUATE Independent Practice sson 9 4 Homework Complete problems 1 8 below for independent practice When you are finished check the solutions with your teacher

HW Homework Complete problems 1 8 below for independent practice DA B C When you are finished check the solutions in the back of the textbook 1 Which of the following properties is true about ALL rhombuses Choose two All sides are always equal Diagonals are bisected All angles are equal 9 ft B 3 The perimeter of a rhombus is 40 cm What is 4 The measure of one side of a rhombus is 12 the measure of one of the sides inches What is the perimeter of the rhombus ractice 5 Is the shape below a rhombus Explain why or 6 Find the measure of all missing angles in the why not D rhombuses below 3 XE 70 1 4 ft C 5 2 Which of the following properties is true about ALL rhombuses Choose two A OB C There is always a right angle Opposite angles are equal Same side angles are supplementary 4 7 Find the measure of all missing angles in the 8 The figure below is a rhombus Using that fact rhombus below find the value of x Then find the measure of CD 4x 15 27 A4 2 B D C When you are finished check the odd problems for solutions at the back of the textbook 7x 2 Optional Complete problems 5 7 9 11 18 from your textbook on separate lined paper for extra practice

Find the area of each figure 1 D YTE 2 0 2 G E 2 4 H X 2 wty 2 0 Z 2 2 4 x X X

Ella has an offer to buy an item with a sticker price of 12 300 by paying 420 a month for 36 months What interest rate is Ella being offered A 6 9 B 20 8 C 10 4 D 5 2

your solutions comple Complete the Lesson Reflection above by circling your current understanding of t Find the area of the figure below 4 2 s y 4 2 a 4 P 2 R 4 X Q

diagram to the right shows how quadrilaterals parallelograms rectangles squares and rhombuses are related to each other Write two true statements that you can conclude from the information in this diagram Quadrilateral Parallelogram Square Rectangle Rhombus

HW S Complete problems 1 6 below for independent practice 1 Use the trapezoid midsegment theorem to find the measure of ST 24 W X T When you are finished check the solutions with your teacher 34 3 AC 3y 12 and BD 27 2y Determine the value of y so that trapezoid ABCD is isosceles Y 2 Use the trapezoid midsegment theorem to find the measure of TW U 22 V T R 32 A EME Q W 4 In the isosceles trapezoid below ZS ZV Use that property to find the value of x U T 81 S 11x 4 V 5 In the isosceles trapezoid below ZZZW Use 6 In kite ABCD ZBAC 62 and LBCD 52 that property to find the value of x Z W Find the measure of LABC B 55 7x 1 Optional Complete problems 1 3 7 9 10 12 13 15 18 20 from your textbook on separate lined paper for extra practice When you are finished check the odd problems for solutions at the back of the textbook

I prove theorems about geometric figures using triangle cong and similarity Lesson 9 5 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 In kite ABCD m BAE 28 and m BCE 57 Find the measure of ZADC B A K L 2 In trapezoid KLMN solve for x Then use that value to solve for LL 72 E 18x 18 D M C N

Use what you ve learned so far about all different types of quadrilaterals to label the best choice for each image image Make sure to take into account the tick marks that represent congruence and the arrows that represent below Your choices are quadrilateral parallelogram rectangle rhombus square kite or trapezoid for each parallel sides Type 1 4 Type 7 10 Type Type Identify the Type For Each Quadrilateral A 0 7 2 Type 5 Type 8 Type 11 0 0 Type 3 Type 6 Type 9 Type 12 Type D A 0

EVALUATE Lesson 10 5 Homework HW Complete problems 1 6 for independent practice Independent Practice OPE 1 Find the area of the composite figure below 110 When you are finished check the solutions with your teacher 3 Find the area of the composite figure below 2 Find the area of the composite figure below 4 Find the area of the composite figure below 5 Find the area of the composite figure below 6 Find the area of the composite figure below Optional Complete problems 5 7 9 10 from your textbook on separate lined paper

Find the area of each Figure 1 is done for you 1 Area a triangle 1 A 6 2 61 3 Area c triangle 2 Area b triangle 4 Area d triangle D b 5 A 2 C 2 0 3 a 3 d B

16 8 P Your Turn 1 Use the trapezoid midsegment theorem to find the measure of YZ 2 Use the trapezoid midsegment theorem to find the measure of FG E H 15 A 29 22 4A X 19 7 Q 3 In trapezoid PQRS RS PQ find XY and RS S P R G EVALUATE Independent Practice

pezoids our Turn 1 According to the isosceles trapezoid theorems label the figures appropriately acht Isosceles Trapezoid Theorems If a quadrilateral is an isosceles trapezoid then then the trapezoid is isosceles 1 A trapezoid is isosceles if and only if EXPLAIN 3 Read the section below and complete the following activity adapted from Lesson 9 5 Using Theorems about Isosceles Trapezoids You can use properties of isosceles trapezoids to find unknown values Example Find each measure or value 1 The Upper Scioto River Bridge in Columbus Ohio has side sections that show isosceles trapezoids The figure ABCD represents one of these sections AC 13 2m and BE 8 4m Find DE AC BD AC BD 13 2 BD BE ED BD 8 4 x 13 2 x 4 8 DE 4 8m E Property that diagonals of isosceles trapezoid are congruent Definition of congruent segments Substitute 13 2 for AC Given Segment Additional Postulate Substitute 8 4 for BE Given Subtract 8 4 on both sides

2 Find the value of x so that trapezoid EFGH is isosceles 2x 21 3x 4 G 3 LJ 3y 6 and KM 22 y Determine of y so that trapezoid JKLM is isosceles M K

7 1 Circle the name of the most specific name for the quadrilateral below Rhombus 5 or Rectangle 3 Circle the name of the most specific name for the quadrilateral below Square or Rhombus 2 Circle the name of the most specific name for the quadrilateral below Rectangle or Square 4 Circle the name of the most specific name for the quadrilateral below Rhombus or Parallelogram For 5 8 give the most specific name for the quadrilateral below Parallelogram Rectangle Rhombus or Square 6 8 Optional Complete problems 3 7 9 11 16 from your textbook on separate lined paper for ext practice

1 Observe the following quadrilaterals They each have been labeled with a specific name Determine if the quadrilateral was given the correct name and explain your reasoning below each quadrilateral If there is a more specific name state it and explain your reasoning 11 9 8 2 11 9 110 70 110 11 9 70 Parallelogram 11 9 8 2 8 2 Rectangle 8 2 11 2 9 6 9 6 Rectangle 11 2 13 2 102 78 13 2 13 2 78 102 Rhombus 13 2

According to the theorems label the rectangles appropriately lifelong LEARRING Geometry B Conditions for Rectangles then the parallelogram is a rectangle then the parallelogram is a rectangle Credit 1 L4L Geometry B 2020

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

Which of these statements describes a sale A The shopper receives a discount later and pays sales tax on the full price of the item B The shopper receives a discount now and pays sales tax on the discounted price of the item C The shopper receives a discount later and pays sales tax on the discounted price of the item D The shopper receives a discount now and pays sales tax on the full price of the item

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

Transportation Health 120 182 108 OA 3 29 2 96 B 2 75 3 24 C 3 03 2 75 D 1 95 2 59 120 If the national average for a gallon of gas is 2 74 how much should yo expect to pay for gas in New York versus Los Angeles

Allen s monthly take home pay is 3000 and his monthly rent is 750 If both his monthly take home pay and his rent increase by 200 what percentage of Allen s take home pay will be used to pay rent OA 31 7 OB 25 0 OC 23 4 D 29 7

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

What percentage of his monthly budget does Doug put in savings A 11 B 16 C 13 O D 6

Garrett is looking into getting an apartment that costs 950 per month How much does he need to make per year in order to comfortably afford this much in rent OA 26 500 OB 49 400 OC 25 300 OD 46 600

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

Milena s take home pay is 1200 a month 12 of her take home pay is spent on her cable bill How much is Milena s monthly cable bill OA 104 OB 120 OC 144 OD 144

Use the identity cos s sin s 1 to find the value of x or y as appropriate Then assuming that s corresponds to the given point on the unit circle find the six circular funct values for s X 21 X 29 x 0 Type an integer or a simplified fraction