ExamView - 7.2 Similar Polygons Quiz.tst

Locate your household size on the Income Limits chart. Is your Gross Household Income(including the gross annual income of all prospective co-signers and co-mortgagors) less thanthe maximum allowable income limit?Yes_____No_____IF NO, THEN YOU ARE NOT ELIGIBLE FOR THIS PROGRAM.B. LIQUID ASSETSIf you otherwise qualify and decide to purchase a home through this program, do you and allmembers of your Household, including all co-signers and co-mortgagors, expect to have atotal of $25,000 or more in liquid assets (savings and investments other than retirementaccounts) after closing escrow on the home?Yes_____No_____IF YES, THEN YOU ARE NOT ELIGIBLE FOR THIS PROGRAM.NOTE: You may not be sure of the value of your liquid assets. You will be required todescribe your liquid assets in detail as part of the Program application. It can then be determinedwhether the value of your liquid assets exceeds Program limitations.C. SUFFICIENT FUNDS AVAILABLETotal all personal funds you have available in the form of liquid assets (savings, checkingaccount funds, and time deposits which are not subject to penalty for early withdrawal).$______________________Downpayment RequirementsPurchase PriceRequired MinimumDownpayment of 5%MaximumDownpayment of 20%$139,100Glenwood 1BR $6,955 $27,820$167,985Glenwood 2BR $8,399 $33,597$121,400Vantis 1BR $6,070 $24,280$146,100Vantis 2BR $7,305 $29,220*PLEASE NOTE* With 5% down you will need about $20,000 for down payment and closingcosts. The down payment must be your own funds. Closing costs and pre-paid reserves CANbe gifted.DOCSOC/1326268v10/022594-00042

ID: A7.2 Similar Polygons QuizAnswer SectionMULTIPLE CHOICE1. ANS: A∠B ≅ ∠D and ∠C ≅ ∠E. By the Third Angles Theorem ∠A ≅ ∠F.EFAC = 6 8 = 3 4DFAB = 9 12 = 3 4DEBC = 13.518 = 3 4FeedbackA Correct!B Does AC/EF equal 3/4?C Are EF and AB corresponding sides?D Make sure the ratios compare corresponding sides. AC/EF equals 4/3 but DF/AB doesnot equal 4/3.PTS: 1 DIF: Basic REF: 1b7bc30e-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.1 Describing Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.01.001 | MTH.C.11.08.03.01.002 | MTH.C.11.08.03.005TOP: 7-2 Ratios in Similar Polygons KEY: similar polygons |corresponding sidesDOK: DOK 11

ID: A2. ANS: AStep 1 Identify pairs of congruent angles.∠M ≅ ∠R, ∠N ≅ ∠S, All angles of a rectangle are right angles and are∠O ≅ ∠T and ∠P ≅ ∠U congruent.Step 2 Compare corresponding sides.MNRS = 9 15 = 3 5MPRU = 6 10 = 3 5Thus the similarity ratio is 3 , and rectangle MNOP ~ rectangle RSTU.5ABCDFeedbackCorrect!Identify pairs of congruent angles, then compare corresponding sides.Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.PTS: 1 DIF: Basic REF: 1b7dfe5a-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.2 Identifying Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.002 | MTH.C.11.08.03.004TOP: 7-2 Ratios in Similar PolygonsKEY: similar polygons | similarity statement DOK: DOK 12

Name: ________________________ Class: ___________________ Date: __________ID: B7.2 Similar Polygons QuizMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____1. Maya is making a miniature dinner table for her little sister. She wants the table top to be similar to their realdinner table top. Find the width of the miniature table top to the nearest tenth of a centimeter.a. 4.9 cmb. 18.3 cmc. 0.3 cmd. 0.2 cm____2. Identify the pairs of congruent angles and corresponding sides.a. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, EFAC = DFAB = DEBC = 3 4b. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, ACEF = DFAB = DEBC = 4 3c. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, EFAB = DFAC = DEBC = 1 2d. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, ACEF = ABDF = BCDE = 3 41

Name: ________________________ID: B____3. A video game designer is modeling a tower that is 180 ft high and 160 ft wide. She creates a model so thatthe similarity ratio of the model to the tower is 1. What is the height and the width of the model in inches?500a. height = 2160 in.; width = 1920 in.b. height = 4.32 in.; width = 3.84 in.c. height = 0.36 in.; width = 0.32 in.d. height = 90,000 in.; width = 80,000 in.____4. Determine whether the rectangles are similar. If so, write the similarity ratio and a similarity statement.a. Rectangles MNOP and RSTU are not similar.b. The similarity ratio is 3 and rectangle MNOP ~ rectangle RSTU.5c. The similarity ratio is 2 and rectangle MNOP ~ rectangle RSTU.5d. The similarity ratio is 2 and rectangle MNOP ~ rectangle RSTU.32

ID: B7.2 Similar Polygons QuizAnswer SectionMULTIPLE CHOICE1. ANS: Ax is the width of the miniature in centimeters. The rectangular miniature is similar to the rectangular tabletop, so the corresponding lengths are proportional.length of dinner table toplength of miniature=width of dinner table topwidth of miniature2.59.5 = 1.3x2.5x = (1.3)(9.5) Cross Product Property2.5x = 12.35 Simplify.x ≈ 4.9 Divide both sides by 2.5.The width of the miniature table top is about 4.9 cm.ABCDFeedbackCorrect!When you work with proportions, be sure the ratios compare corresponding measures.Make sure each ratio compares the rectangles in the same order.What does the Cross Product Property state?PTS: 1 DIF: Average REF: 1b8060b6-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.3 ApplicationLOC: MTH.C.09.03.01.001 | MTH.C.11.08.03.006TOP: 7-2 Ratios in Similar Polygons KEY: similar figures | side lengthDOK: DOK 21

ID: B2. ANS: A∠B ≅ ∠D and ∠C ≅ ∠E. By the Third Angles Theorem ∠A ≅ ∠F.EFAC = 6 8 = 3 4DFAB = 9 12 = 3 4DEBC = 13.518 = 3 4FeedbackA Correct!B Make sure the ratios compare corresponding sides. AC/EF equals 4/3 but DF/AB doesnot equal 4/3.C Are EF and AB corresponding sides?D Does AC/EF equal 3/4?PTS: 1 DIF: Basic REF: 1b7bc30e-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.1 Describing Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.01.001 | MTH.C.11.08.03.01.002 | MTH.C.11.08.03.005TOP: 7-2 Ratios in Similar Polygons KEY: similar polygons |corresponding sidesDOK: DOK 13. ANS: BStep 1 Convert measurements to inches.tower’s length = 180 ft = 2160 in.tower’s width = 160 ft = 1920 in.Step 2 Apply the scale factor formula.new dimension = (scale factor)(original dimension)Ê 1 ˆmodel’s length =500ËÁ¯˜ ( 2160 in. ) = 4.32 in.Ê 1 ˆmodel’s width =500ËÁ¯˜ ( 1920 in. ) = 3.84 in.ABCDFeedbackMultiply the scale factor by each dimension.Correct!Convert answers to inches.Multiply the scale factor by each dimension.PTS: 1 DIF: Advanced REF: 1b8087c6-4683-11df-9c7d-001185f0d2eaLOC: MTH.C.11.08.03.005 | MTH.C.11.08.03.006TOP: 7-2 Ratios in Similar PolygonsKEY: application | similarity ratio | scale model DOK: DOK 22

ID: B4. ANS: BStep 1 Identify pairs of congruent angles.∠M ≅ ∠R, ∠N ≅ ∠S, All angles of a rectangle are right angles and are∠O ≅ ∠T and ∠P ≅ ∠U congruent.Step 2 Compare corresponding sides.MNRS = 9 15 = 3 5MPRU = 6 10 = 3 5Thus the similarity ratio is 3 , and rectangle MNOP ~ rectangle RSTU.5ABCDFeedbackIdentify pairs of congruent angles, then compare corresponding sides.Correct!Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.PTS: 1 DIF: Basic REF: 1b7dfe5a-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.2 Identifying Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.002 | MTH.C.11.08.03.004TOP: 7-2 Ratios in Similar PolygonsKEY: similar polygons | similarity statement DOK: DOK 13

Name: ________________________ID: C____3. Identify the pairs of congruent angles and corresponding sides.a. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, EFAC = DFAB = DEBC = 3 4b. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, EFAB = DFAC = DEBC = 1 2c. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, ACEF = ABDF = BCDE = 3 4d. ∠B ≅ ∠D, ∠C ≅ ∠E, ∠A ≅ ∠F, ACEF = DFAB = DEBC = 4 3____4. Determine whether the rectangles are similar. If so, write the similarity ratio and a similarity statement.a. Rectangles MNOP and RSTU are not similar.b. The similarity ratio is 3 and rectangle MNOP ~ rectangle RSTU.5c. The similarity ratio is 2 and rectangle MNOP ~ rectangle RSTU.5d. The similarity ratio is 2 and rectangle MNOP ~ rectangle RSTU.32

ID: C7.2 Similar Polygons QuizAnswer SectionMULTIPLE CHOICE1. ANS: Cx is the width of the miniature in centimeters. The rectangular miniature is similar to the rectangular tabletop, so the corresponding lengths are proportional.length of dinner table toplength of miniature=width of dinner table topwidth of miniature2.59.5 = 1.3x2.5x = (1.3)(9.5) Cross Product Property2.5x = 12.35 Simplify.x ≈ 4.9 Divide both sides by 2.5.The width of the miniature table top is about 4.9 cm.ABCDFeedbackMake sure each ratio compares the rectangles in the same order.What does the Cross Product Property state?Correct!When you work with proportions, be sure the ratios compare corresponding measures.PTS: 1 DIF: Average REF: 1b8060b6-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.3 ApplicationLOC: MTH.C.09.03.01.001 | MTH.C.11.08.03.006TOP: 7-2 Ratios in Similar Polygons KEY: similar figures | side lengthDOK: DOK 21

ID: C2. ANS: AStep 1 Convert measurements to inches.tower’s length = 240 ft = 2880 in.tower’s width = 180 ft = 2160 in.Step 2 Apply the scale factor formula.new dimension = (scale factor)(original dimension)Ê 1 ˆmodel’s length =500ËÁ¯˜ ( 2880 in. ) = 5.76 in.Ê 1 ˆmodel’s width =500ËÁ¯˜ ( 2160 in. ) = 4.32 in.ABCDFeedbackCorrect!Multiply the scale factor by each dimension.Convert answers to inches.Multiply the scale factor by each dimension.PTS: 1 DIF: Advanced REF: 1b8087c6-4683-11df-9c7d-001185f0d2eaLOC: MTH.C.11.08.03.005 | MTH.C.11.08.03.006TOP: 7-2 Ratios in Similar PolygonsKEY: application | similarity ratio | scale model DOK: DOK 23. ANS: A∠B ≅ ∠D and ∠C ≅ ∠E. By the Third Angles Theorem ∠A ≅ ∠F.EFAC = 6 8 = 3 4DFAB = 9 12 = 3 4DEBC = 13.518 = 3 4FeedbackA Correct!B Are EF and AB corresponding sides?C Does AC/EF equal 3/4?D Make sure the ratios compare corresponding sides. AC/EF equals 4/3 but DF/AB doesnot equal 4/3.PTS: 1 DIF: Basic REF: 1b7bc30e-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.1 Describing Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.01.001 | MTH.C.11.08.03.01.002 | MTH.C.11.08.03.005TOP: 7-2 Ratios in Similar Polygons KEY: similar polygons |corresponding sidesDOK: DOK 12

ID: C4. ANS: BStep 1 Identify pairs of congruent angles.∠M ≅ ∠R, ∠N ≅ ∠S, All angles of a rectangle are right angles and are∠O ≅ ∠T and ∠P ≅ ∠U congruent.Step 2 Compare corresponding sides.MNRS = 9 15 = 3 5MPRU = 6 10 = 3 5Thus the similarity ratio is 3 , and rectangle MNOP ~ rectangle RSTU.5ABCDFeedbackIdentify pairs of congruent angles, then compare corresponding sides.Correct!Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.Make sure each ratio compares a side from one rectangle with the corresponding sidefrom the second rectangle.PTS: 1 DIF: Basic REF: 1b7dfe5a-4683-11df-9c7d-001185f0d2eaOBJ: 7-2.2 Identifying Similar Polygons STA: NY.NYLES.MTH.05.GEO.G.RP.2LOC: MTH.C.11.08.03.002 | MTH.C.11.08.03.004TOP: 7-2 Ratios in Similar PolygonsKEY: similar polygons | similarity statement DOK: DOK 13