Name: ________________________ Class: ___________________ Date: __________ REVIEW GEOMETRY UNIT 1 COMMON ASSESMENT 1 Name three points that are collinear. 3 Draw a labeled diagram for an angle. A B A B C D points T, Q, and R points T, Q, and S points S, Q, and R points T, S, and R C → 2 PR is represented by which sketch? D F G H J 4 If RS = 39.3 and QS = 54.4, find QR. F 15.1 ID: A G 5.1 H 93.7 1 J 39.3 Name: ________________________ ID: A 9 Which angle measures approximately 112°? 5 Let B be between C and D . Use the Segment Addition Postulate to solve for w. CB = 4w− 4 BD = 2w− 8 CD = 24 A B C D A w = 10 w=6 w=4 w = –2 B 6 If AB = 17 and AC = 32, find the length of BC . C F G H J 17 5 49 15 D 7 Find the distance between the points (–7, 3) and (–15, –3). 10 If m∠BOD = 46° and m∠BOC = 26°, then what is the measure of ∠COD? 8 Find the midpoint of the segment with endpoints (1, –4) and (–9, 6). F G H J 2 25° 20° 17° 18° Name: ________________________ ID: A → 11 m∠SQR = (2x + 8)° and m∠PQR = (9x − 4)° and m∠SQP = 70°. Find m∠SQR and m∠PQR. 15 AB bisects ∠LAX and ∠LAX measures 96°. Find the measure of ∠XAB. → 16 In the figure (not drawn to scale), MO bisects ∠LMN, m∠LMO = (6x − 40)°, and m∠NMO = (x + 65)°. Solve for x and find m∠LMN. 12 m∠SQR = (2x + 6)° and m∠PQR = (10x − 5)° and m∠SQP = 61°. Find m∠SQR and m∠PQR. F G H J 5, 10° 21, 251° 5, 61° 21, 172° 17 In the figure shown, m∠AED = 133°. True or False: ∠AEB and ∠CED are adjacent angles and m∠AEB = 133°. F G H J m∠SQR m∠SQR m∠SQR m∠SQR = 10° and = 51° and = 16° and = 45° and m∠PQR m∠PQR m∠PQR m∠PQR = 51° = 10° = 45° = 16° 13 Classify the angle as right, acute, or obtuse. 18 Which is not a possible value for y in the figure below? F G H J 14 The measure of angle B is 110°. Classify angle B as an acute, right, or obtuse angle. 3 151 79 66 106 Name: ________________________ ID: A Complete the conditional statement to make a true statement. 22 Name a polygon with 6 sides. F G H J 19 If ∠G and ∠H are supplementary and m∠H = 94°, then ________. 20 If ∠R and ∠S are complementary and m∠R = 15°, then F G H J pentagon hexagon quadrilateral octagon 23 Find the perimeter and area of a rectangle with length 125 ft and width 30 ft. m∠S = 75° m∠S = 165° m∠S = 195° m∠S = 105° 24 Find the area of a circle with radius 50 cm. Use 3.14 for π . 25 Find the circumference of the circle. Use π = 3.14. 21 Name the regular polygon. A B C D 87.92 in. 153.86 in. 43.96 in. 7.72 in. 26 Find the area: 27 Your parents ask you to mow the lawn. It is a square plot that is 19 ft on each side and it has a square cement fountain in the center that is 2 ft on each side. What is the area of the lawn that you will mow? 4 ID: A REVIEW Answer Section GEOMETRY UNIT 1 COMMON ASSESMENT 1 ANS: A PTS: 1 DIF: Level A REF: MLGE0084 TOP: Lesson 1.1 Identify Points, Lines, and Planes KEY: points | collinear BLM: Comprehension NOT: 978-0-618-65613-4 2 ANS: H PTS: 1 DIF: Level A REF: MHGT0077 STA: TX TEKS G.7.A | TX GEO.G.7.A TOP: Lesson 1.1 Identify Points, Lines, and Planes KEY: identify | ray BLM: Knowledge NOT: 978-0-618-65613-4 3 ANS: B PTS: 1 DIF: Level A REF: MHGM0506 STA: TX TAKS 7.Gd2.A | TX TEKS G.7.A | TX GEO.G.7.A TOP: Lesson 1.1 Identify Points, Lines, and Planes KEY: line | angle | draw | segment | ray BLM: Knowledge NOT: 978-0-618-65613-4 4 ANS: F PTS: 1 DIF: Level B REF: PHGM0109 TOP: Lesson 1.2 Use Segments and Congruence KEY: segment length | segment addition postulate BLM: Application NOT: 978-0-618-65613-4 5 ANS: B PTS: 1 DIF: Level B REF: MHGM0013 TOP: Lesson 1.2 Use Segments and Congruence KEY: solve | variable | segment addition postulate BLM: Application NOT: 978-0-618-65613-4 6 ANS: J PTS: 1 DIF: Level A REF: DBXM1001 TOP: Lesson 1.2 Use Segments and Congruence KEY: segment length | segment addition postulate BLM: Application NOT: 978-0-618-65613-4 7 ANS: 10 units PTS: 1 DIF: Level A REF: PAIA0304 STA: TX TEKS G.7.C | TX 10.7.8.7.B | TX GEO.G.7.C TOP: Lesson 1.3 Use Midpoint and Distance Formulas BLM: Application NOT: 978-0-618-65613-4 8 ANS: (–4, 1) PTS: STA: TOP: BLM: 9 ANS: TOP: BLM: 10 ANS: TOP: BLM: 1 DIF: Level A REF: XEGS1204 TX TEKS G.7.C | TX 10.7.8.7.B | TX GEO.G.7.C Lesson 1.3 Use Midpoint and Distance Formulas Application NOT: 978-0-618-65613-4 B PTS: 1 DIF: Level A Lesson 1.4 Measure and Classify Angles Knowledge NOT: 978-0-618-65613-4 G PTS: 1 DIF: Level B Lesson 1.4 Measure and Classify Angles Application NOT: 978-0-618-65613-4 1 NAT: NCTM 9-12.GEO.2.a KEY: distance formula | coordinate geometry NAT: NCTM 9-12.GEO.2.a KEY: midpoint formula REF: MLP10245 KEY: angle | measure REF: MHGM0014 KEY: angle measure | angle addition postulate ID: A 11 ANS: m∠SQR = 20° and m∠PQR = 50° PTS: STA: TOP: BLM: 12 ANS: NAT: STA: TOP: BLM: 13 ANS: acute 1 DIF: Level C REF: MLGE0191 NAT: NCTM 9-12.REP.2 | NCTM 9-12.PRS.3 TX TAKS 2.Ab3.B | TX 10.1.Ab1.C | TX 10.2.Ab3.B | TX 10.4.Ac4.B | TX 10.5.Ad2.A Lesson 1.4 Measure and Classify Angles KEY: angle addition postulate | angle measure Synthesis NOT: 978-0-618-65613-4 H PTS: 1 DIF: Level C REF: MLGE0216 NCTM 9-12.REP.2 | NCTM 9-12.PRS.3 TX TAKS 2.Ab3.B | TX 10.1.Ab1.C | TX 10.2.Ab3.B | TX 10.4.Ac4.B | TX 10.5.Ad2.A Lesson 1.4 Measure and Classify Angles KEY: angle addition postulate | angle measure Synthesis NOT: 978-0-618-65613-4 PTS: 1 DIF: KEY: angle | classify 14 ANS: obtuse Level A REF: ACG40040 BLM: Knowledge TOP: Lesson 1.4 Measure and Classify Angles NOT: 978-0-618-65613-4 PTS: 1 DIF: KEY: angle | classify 15 ANS: m∠XAB = 48° Level A REF: MPPA1218 BLM: Knowledge TOP: Lesson 1.4 Measure and Classify Angles NOT: 978-0-618-65613-4 PTS: KEY: NOT: 16 ANS: TOP: KEY: NOT: 17 ANS: False 1 DIF: Level B REF: MLGE0088 TOP: Lesson 1.4 Measure and Classify Angles angle bisector | angle measure BLM: Comprehension 978-0-618-65613-4 J PTS: 1 DIF: Level B REF: MLGE0245 Lesson 1.4 Measure and Classify Angles solve | linear equation | angle bisector | angle measure BLM: Application 978-0-618-65613-4 PTS: 1 DIF: Level B REF: MLGE0217 TOP: Lesson 1.5 Describe Angle Pair Relationships KEY: vertical angles | adjacent angles BLM: Comprehension NOT: 978-0-618-65613-4 18 ANS: H PTS: 1 DIF: Level B REF: MIM20664 TOP: Lesson 1.5 Describe Angle Pair Relationships KEY: angle measure | supplementary angles |straight angle BLM: Synthesis NOT: 978-0-618-65613-4 19 ANS: m∠G = 86° PTS: 1 DIF: Level B REF: MGEO0043 TOP: Lesson 1.5 Describe Angle Pair Relationships BLM: Application NOT: 978-0-618-65613-4 2 STA: TX TEKS G.3.A | TX GEO.G.3.A KEY: supplementary angles | angle measure ID: A 20 ANS: F PTS: 1 DIF: Level B REF: MGEO0044 STA: TX TEKS G.3.A | TX GEO.G.3.A TOP: Lesson 1.5 Describe Angle Pair Relationships KEY: angle measure | complementary angles BLM: Application NOT: 978-0-618-65613-4 21 ANS: pentagon PTS: 1 DIF: Level A REF: BD011258 NAT: NCTM 9-12.GEO.1.a STA: TX TAKS 6.Gc1.A | TX TEKS G.9.B | TX GEO.G.9.B TOP: Lesson 1.6 Classify Polygons KEY: regular polygon | name BLM: Knowledge NOT: 978-0-618-65613-4 22 ANS: G PTS: 1 DIF: Level A REF: AMP40097 NAT: NCTM 9-12.GEO.1.a STA: TX TAKS 6.Gc1.A | TX TEKS G.9.B | TX GEO.G.9.B TOP: Lesson 1.6 Classify Polygons KEY: polygon | name BLM: Knowledge NOT: 978-0-618-65613-4 23 ANS: perimeter = 310 ft area = 3750 ft 2 PTS: 1 DIF: Level B REF: MLGE0090 NAT: NCTM 9-12.MEA.2.b STA: TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A TOP: Lesson 1.7 Find Perimeter, Circumference, and Area KEY: area | perimeter | rectangle BLM: Application NOT: 978-0-618-65613-4 24 ANS: 7850 cm2 PTS: 1 DIF: Level B REF: MLGE0221 NAT: NCTM 9-12.MEA.2.b STA: TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A TOP: Lesson 1.7 Find Perimeter, Circumference, and Area KEY: circle | area BLM: Application NOT: 978-0-618-65613-4 25 ANS: C PTS: 1 DIF: Level B REF: MLGE0395 TOP: Lesson 1.7 Find Perimeter, Circumference, and Area KEY: circle | circumference BLM: Application NOT: 978-0-618-65613-4 26 ANS: 240 yd2 PTS: STA: TOP: BLM: 1 DIF: Level B REF: MLGE0396 NAT: NCTM 9-12.MEA.2.b TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A Lesson 1.7 Find Perimeter, Circumference, and Area KEY: area | triangle Application NOT: 978-0-618-65613-4 3 ID: A 27 ANS: 357 ft 2 PTS: 1 DIF: Level C REF: MLGE0091 NAT: NCTM 9-12.PRS.2 | NCTM 9-12.MEA.2.b STA: TX TAKS 6.Gc1.C | TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TAKS 10.8.14.A | TX TEKS G.8.A | TX 10.2.Ab2.D | TX 10.3.Ac2.G | TX 10.4.Ac4.A | TX 10.5.Ad3.A | TX 10.7.8.7.B | TX 10.8.8.8.C | TX 10.8.8.9.A | TX 10.9.8.3.B | TX 10.10.8.14.A | TX GEO.G.8.A TOP: Lesson 1.7 Find Perimeter, Circumference, and Area KEY: square | area | composite BLM: Application NOT: 978-0-618-65613-4 4
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