2D Geometry Questions and Answers

Cones and pyramids both have only one base OC OA True B False

The shapes of the horizontal cross sections of the cone below are al congruent B False OA True

A cone is a solid made from a polygonal base a point not in the same plane as the base and all points between them O A True B False

A cylinder is a polyhedron A True B False

The shapes of the horizontal cross sections of the cylinder below are not all ongruent OA True B False

Which of the following have at least two congruent parallel bases Check all that apply A Pyramid B Cone C Cylinder D Circle E Cube

Which of these is not a valid FICO credit score O A 275 O B 375 O C 475 D 575

Consider the following Use a protractor to measure the angle Classify the angle as straight acute right or obtuse O straight acute O right obtus

A person s ability to pay off debts based on the money that person has available to meet financial obligations is called what O A Capacity OB Charisma O C Collateral OD Character

Which image below is an acute triangle C 50 VVAP 65 95 35 O Triangle A Triangle B 50 O Triangle C Triangle D B 100 40 65 D HO 30 110

Which of the following shows a different way to tessellate the shape in the figure above Select all that apply Describe a real life application that might involve a tessellation of this shape 0

d Help Read It O

major creure corag Ratio of debt to income Declared bankruptcy mons no debts never OA 392 OB 512 O C C 500 D 440 0 164 102 1 5 20 64 in the last 10 years 6 15 60 80 over 10 yrs ago 24 16 over

a Scalene Select all that apply 2 b Obtuse Select all that apply B B C C A B C

a How much fencing will be used for each of the longer sides ft b Draw and label a diagram of the pasture Help 190 ft Read It Submit Answer 190 ft 190 ft 190 ft 190 ft 190 ft 190 ft 190 ft

Classify each quadrilateral as specifically as possibi a O O O O O O b isosceles trapezoid O O O O kite parallelogram rectangle rhombus O square right trapezoid A isosceles trapezoid kite O parallelogram rectangle rhombus Oright trapezoid O square Need Help Read it

5 6 Points DETAILS Consider the following to y Z LARMPMT1 10 1 038 to Classify the types of triangles formed top Select middle Select sides Select Lo to Lo o Use the angle relationships shown in the roof truss to find the values of x y and z X ON MY NOTE

What type of solid does the skateboarding ramp shown above resemble O rectangular pyramid O triangular pyramid O rectangular prism O triangular prism square pyramid How many faces edges and vertices does the ramp have faces edges

The angle measures of three angles of a quadrilateral are given Find the measure of the fourth angle of the quadrilater a 75 90 115 b 70 90 90 c 59 66 122 d 60 91 120 Need Help Read It Watch It

Use triangles to find the sum of the interior angle measures of each polygon a b

c Decide whether the figure is a quadrilateral This is a quadrilateral This is not a quadrilateral Explain your reasoning d Decide whether the figure is a quadrilateral This is a quadrilateral O This is not a quadrilateral Explain your reasoning

The last time Salvatore checked his credit score it was 770 and his only credit event since then has been applying for a store credit card Which of these is most likely to be his credit score now O A 770 O B 760 O C 780 O D 790

Odessa s credit score is 692 while Vito s credit score is 637 According to the following table for a 150 000 mortgage how much more would Vito have to pay per month than Odessa FICO Score 720 850 700 719 675 699 620 674 560 619 500 559 A 52 Interest Rate 5 59 5 71 6 25 7 40 8 53 9 29 Monthly Payment 860 872 924 1039 1157 1238

BASS 170 D 2 DBC 550 LACB 50 LBCD 65 2CBA 70 LBAD X X So 65

The minimum monthly payment for Janet s credit card is 2 of her balance or 10 whichever is higher If Janet s balance at the end of her last billing cycle was 760 what is her minimum monthly payment OA 5 20 OB 25 20 O C 10 00 OD 15 20

If the billing cycle length for a credit card is one calendar month which of the following months will result in the lowest periodic interest rate O A February OB April OC November OD March

Karina put a 300 pair of earrings on layaway by making a 10 down payment and agreeing to pay 35 a week How many weeks will it take Karina to pay off the earrings OA 8 weeks OB 9 weeks C 6 weeks D 7 weeks

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

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

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

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