examview - geometry first semester exam...

Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Geometry First Semester Exam 2013-14

____ 1. T is the midpoint of PQ . Which one of the following is not an appropriate statement?

a. PT = TQ c. PT ≅ TQ

b. PT = TQ d. PT + TQ = PQ

____ 2. Which angle measures approximately 72°?

a. c.

b. d.

____ 3. Which does not name the angle below?

a. ∠DCE b. ∠CDE c. ∠ECD d. ∠C

____ 4. Which is not a possible value for y in the figure below?

a. 70 b. 115 c. 55 d. 160

Name: ________________________ ID: A

2

____ 5. Which figure below is not a polygon?

a. b. c. d.

____ 6. Which figure below is not a convex polygon?

a. b. c. d.

____ 7. Which one of the statements below is false?

a. A circle is NOT a polygon. c. A decagon has 10 sides.

b. An octagon has 8 angles. d. A pentagon has 9 angles.

Use the formula for the area of a triangle (A =1

2bh) to find the value of the unknown variable.

____ 8. Henry wants to use 48 feet of fencing to enclose part of his yard for a garden. Which of the figures described

would use all 48 feet of fencing and enclose the largest area of Henry's yard?

a. A rectangle with a length of 14 feet and a width of 10 feet

b. A rectangle with a length of 16 feet and a width of 8 feet

c. A square with a side length of 12 feet

d. A circle with a radius of about 7.6 feet

Make a scatter plot of the data. What conclusions can you make?

____ 9. Number of TVs 3 2 2 1 3 1 2 1

Number of Plane Trips Last Year 2 6 1 3 4 2 3 4

a. As the number of TVs increase, the number of plane trips decrease.

b. As the number of TVs decrease, the number of plane trips decrease.

c. As the number of plane trips increase, the number of TVs increase.

d. no relationship

Name: ________________________ ID: A

3

____ 10. The figure below represents which of the following statements?

a. Two rays that are perpendicular

b. A straight angle

c. AB = AC

d. Two lines that are perpendicular

____ 11. Decide which one of the following statements is false.

a. Three noncollinear points determine a plane.

b. A line contains at least two points.

c. Through any two distinct points there exists exactly one line.

d. Any three points lie on a distinct line.

____ 12. Which of the following is an example of the Transitive Property?

a. If y = x − 4, then x − 4 = y.

b. x − 3 = x − 3

c. If x = −3, then x − 4 = −3 − 4.

d. If x − 3 = y and y = −4, then x − 3 = −4.

____ 13. In the figure shown, m∠AED = 124°. Which of the following statements is false?

a. ∠BEC and ∠CED are adjacent angles.

b. ∠AEB and ∠DEC are supplementary angles.

c. m∠AEB = 56°

d. m∠BEC = 124°

Name: ________________________ ID: A

4

____ 14. In the figure, l Ä n and r is a transversal. Which of the following is not necessarily true?

a. ∠8 ≅ ∠2 c. ∠5 ≅ ∠3

b. ∠2 ≅ ∠6 d. ∠7 ≅ ∠4

____ 15. In the figure shown, HC→←

Ä GD→←

and m∠ABC = 100°. Which of the following statements is false?

a. m∠CBE = 80°

b. m∠DEF = 80°

c. ∠DEB and ∠CBE are corresponding angles.

d. ∠CBE and ∠GEB are alternate interior angles.

Name: ________________________ ID: A

5

____ 16. Line m is parallel to line n and they are each intersected by the same two transversals. Which angle is NOT

necessarily congruent to ∠4?

a. ∠12 c. ∠7

b. ∠16 d. ∠15

____ 17. Which best describes the relationship between the line that passes through (7, 1) and (10, 5) and the line that

passes through (–8, 5) and (–5, 9)?

a. same line

b. perpendicular

c. neither perpendicular nor parallel

d. parallel

____ 18. Which best describes the relationship between Line 1 and Line 2?

Line 1 passes through −3, 6ÊËÁÁ ˆ

¯˜̃ and −7, 11Ê

ËÁÁ ˆ

¯˜̃

Line 2 passes through 1, 8ÊËÁÁ ˆ

¯˜̃ and −4, 4Ê

ËÁÁ ˆ

¯˜̃

a. perpendicular

b. They are the same line.

c. parallel

d. neither perpendicular nor parallel

____ 19. A line L1 has slope 4

9. The line that passes through which of the following pairs of points is parallel to L1 ?

a. (6, –3) and (2, 6) c. (–5, 2) and (6, 6)

b. (12, –1) and (2, 8) d. (–3, 2) and (6, 6)

Name: ________________________ ID: A

6

____ 20. Which graph below would match the situation described?

A car is traveling at 44 mph slows to 21 mph in the first 5 seconds. It maintains that speed for the next 5

seconds, and then slows to a stop in the next five seconds.

a. c.

b. d.

____ 21. Which best describes the relationship between the lines with equations

−5x − 8y = 4 and − 30x − 48y = 24?

a. neither parallel nor perpendicular

b. same line

c. parallel

d. perpendicular

Name: ________________________ ID: A

7

____ 22. The equation 2x − 2y = −6 is graphed below.

Which of the following graphs shows the result of changing the 2 in 2x − 2y = −6 to 1?

a. c.

b. d.

____ 23. A triangle has angle measures of 60°, 60°, and 60°. Choose the term that describes the triangle.

a. Equiangular b. Right c. Obtuse d. Scalene

____ 24. Which pair of lengths can be two of the sides of an isosceles triangle which has a perimeter of 52 inches?

a. 15 inches, 25 inches c. 12 inches, 22 inches

b. 15 inches, 22 inches d. 16 inches, 21 inches

____ 25. If ∆ABC ≅ ∆DEF, AB = 10 feet, m∠B = 27°, and m∠F = 14°, which of the following statements is false?

a. AC = DF c. m∠E = 139°

b. ∠C ≅ ∠F d. AB = DE

____ 26. If ∆MNO ≅ ∆VWX, which statement is NOT true?

a. NO ≅ VW c. MO ≅ VX

b. ∠O ≅ ∠X d. ∠N ≅ ∠W

Name: ________________________ ID: A

8

____ 27. Determine which triangle is congruent to the given triangle.

a. none of these c.

b. d.

____ 28. Refer to the figure shown. Which of the following statements is true?

a. ∆TUV ≅ ∆XWV by ASA c. ∆TUV ≅ ∆WXV by SAS

b. ∆TUV ≅ ∆VWX by SAS d. ∆TUV ≅ ∆WXV by SSS

Name: ________________________ ID: A

9

____ 29. In ∆ABC, AB = 3x – 2, BC = x + 4, and AC = 7. Also AB ≅ BC . Which term does NOT describe ∆ABC?

a. Equilateral b. Acute c. Isosceles d. Obtuse

____ 30. Given: ∆ABC ≅ ∆DEF with AB ≅ BC . Which statement of congruence is not provable?

a. ∆ABC ≅ ∆CBA b. ∆DEF ≅ ∆CBA c. ∆ABC ≅ ∆FDE d. ∆ABC ≅ ∆FED

____ 31. Which picture shows a reflection of the flag?

a. c.

b. d.

____ 32. Which graph represents a reflection in the x-axis?

a. c.

b. d.

Name: ________________________ ID: A

10

____ 33. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns,

walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have

produced the same final result in terms of the position of the person and the direction the person faces?

a. reflection over the north-south axis

b. rotation

c. translation

d. reflection over the east-west axis

____ 34. Given: BC→←

is the perpendicular bisector of KM . Which statement is true?

a. ∠BLM, ∠MLC , ∠CLK, ∠KLB are all right angles.

b. CM = BM

c. ∠KBM is a right angle.

d. C is the midpoint of KM

____ 35. OE→

bisects ∠BOA, EA ⊥ OA, and EB ⊥ OB. Which statement is NOT true?

a. AE ≅ BE c. OA ≅ OB

b. ∠AOE ≅ ∠EAO d. ∠AEO ≅ ∠BEO

____ 36. Two sides of a triangle have lengths 7 and 13. The third side has a length that is ______.

a. greater than 6 and less than 13

b. less than 20 and greater than 6

c. greater than 20

d. less than 6

____ 37. Which of these lengths could be the sides of a triangle?

a. 15 cm, 4 cm, 20 cm c. 11 cm, 5 cm, 16 cm

b. 3 cm, 15 cm, 20 cm d. 5 cm, 12 cm, 16 cm

Name: ________________________ ID: A

11

____ 38. Given the triangles below, if ZY ≅ CB, XY ≅ AB, and m∠B > m∠Y , decide which statement is true.

a. YZ > BC b. XZ < AC c. XY < AB d. AC < XZ

____ 39. In ∆PQR and ∆EGF, PR ≅ EF , QR ≅ GF, PQ = 18 cm , EG = 24 cm , and m∠R = 65o Which angle measure

is reasonable for ∠F?

a. 55° b. 65° c. 70° d. 60°

____ 40. Which statement is false for the diagram?

a. MN = NR b. LM = PR c. LN < NP d. LN > NP

____ 41. Refer to the figure. Choose the correct statement.

a. x < 10 c. x > 13

b. 10 < x < 13 d. x = 13

Name: ________________________ ID: A

12

____ 42. Refer to the figure below.

Given: AB = AD, m∠1 > m∠2. Then, ______.

a. BE > ED b. BE < ED c. AE = EC d. BE = ED

____ 43. If P

Q=

R

S, which of the following is NOT true?

a.R

S=

P

Qb. PS = RQ c.

Q

P=

S

Rd. PR = SQ

____ 44. If a

b=

c

d, then ______.

a.a + b

b=

c + b

dc.

a + b

b=

c + d

d

b. ac = bd d.a

b=

a + c

b + d

____ 45. The Community Recreation Center is developing plans for a new sports facility. Community members can

submit suggestions for the new facility, along with basic scale drawings of their ideas. Rachel wants to

include a new 11- by 24-meter tennis court in the athletic center. She is submitting a scale drawing on an 8.5-

by 11-inch sheet of paper. Which scale should Rachel use to create as large a drawing as possible on the

paper?

a.3

8in. = 1 m b.

3

4in. = 1 m c.

1

8in. = 1 m d.

7

16in. = 1 m

____ 46. Which triangle is NOT similar to any of the others?

a. b. c. d.

____ 47. One way to show that two triangles are similar is to show that ______.

a. two angles of one are congruent to two angles of the other

b. two sides of one are proportional to two sides of the other

c. a side of one is congruent to a side of the other

d. an angle of one is congruent to an angle of the other

Name: ________________________ ID: A

13

____ 48. If the corresponding sides of two triangles are proportional, then _____.

a. the triangles are right triangles

b. the triangles are similar

c. corresponding side lengths are equal

d. the triangles are congruent

____ 49. If ∆ABC ~ ∆PBQ, then which of the following proportions is NOT true?

a.AC

PQ=

CB

QBb.

AP

PB=

AC

PQc.

AP

PB=

CQ

QBd.

PB

AB=

PQ

AC

In the figure below, ∆ABC ∼ ∆A' B ' C ' .

____ 50. Which statement is true of the transformation from ∆ABC to ∆A' B ' C ' .?

a. The measures of all corresponding angles change by a scale factor of 2.

b. The measures of all corresponding angles change by a scale factor of 1

2.

c. The lengths of all corresponding sides change by a scale factor of 2.

d. The lengths of all corresponding sides change by a scale factor of 1

2.

ID: A

1

Geometry First Semester Exam 2013-14

Answer Section

1. ANS: B PTS: 1 DIF: Level B REF: MGEH0006

STA: MI.MIGLC.MTH.06.9-12.G1.1.3 | MI.MIGLC.MTH.06.9-12.G1.1.5

TOP: Lesson 1.3 Use Midpoint and Distance Formulas KEY: midpoint

BLM: Comprehension NOT: 978-0-618-65613-4

2. ANS: D PTS: 1 DIF: Level A REF: MLP10245

TOP: Lesson 1.4 Measure and Classify Angles KEY: angle | measure

BLM: Knowledge NOT: 978-0-618-65613-4

3. ANS: B PTS: 1 DIF: Level A REF: XMOD0506

TOP: Lesson 1.4 Measure and Classify Angles KEY: angle | name


4. ANS: C PTS: 1 DIF: Level B REF: MIM20664

STA: MI.MIGLC.MTH.06.9-12.G1.1.1 TOP: Lesson 1.5 Describe Angle Pair Relationships

KEY: angle measure | supplementary angles |straight angle BLM: Synthesis

NOT: 978-0-618-65613-4

5. ANS: A PTS: 1 DIF: Level A REF: MLGE0042

TOP: Lesson 1.6 Classify Polygons KEY: identify | polygon


6. ANS: A PTS: 1 DIF: Level A REF: MLGE0043

TOP: Lesson 1.6 Classify Polygons KEY: identify | polygon | convex


7. ANS: D PTS: 1 DIF: Level B REF: PMG60223

TOP: Lesson 1.6 Classify Polygons KEY: identify | polygon


8. ANS: C PTS: 1 REF: 62ac50f0-4f27-11db-b4d8-0011258082f7

TOP: Lesson 1.7 Find Perimeter, Circumference, and Area

KEY: perimeter of a rectangle | area of a rectangle BLM: Analysis

NOT: 978-0-618-65613-4

9. ANS: D PTS: 1 DIF: Level B REF: MLC30917

TOP: Lesson 2.1 Use Inductive Reasoning KEY: scatter plot

BLM: Analysis NOT: 978-0-618-65613-4

10. ANS: A PTS: 1 DIF: Level A REF: MGEH0016

TOP: Lesson 2.2 Analyze Conditional Statements KEY: perpendicular | ray


11. ANS: D PTS: 1 DIF: Level B REF: MHGT0087

NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.L3.3.3

TOP: Lesson 2.4 Use Postulates and Diagrams KEY: line | point | collinear


12. ANS: D PTS: 1 DIF: Level A REF: MLGE0178

NAT: NCTM 9-12.ALG.2.b TOP: Lesson 2.5 Reason Using Properties from Algebra

KEY: equality | symmetric | transitive | reflexive BLM: Knowledge

NOT: 978-0-618-65613-4

13. ANS: B PTS: 1 DIF: Level A REF: MLGE0196

NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.L3.3.3

TOP: Lesson 2.7 Prove Angle Pair Relationships KEY: line | vertical | angle | intersecting


ID: A

2

14. ANS: D PTS: 1 DIF: Level B REF: MGEH0026

NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.G1.1.2

TOP: Lesson 3.2 Use Parallel Lines and Transversals KEY: parallel | transversal

BLM: Analysis NOT: 978-0-618-65613-4

15. ANS: C PTS: 1 DIF: Level B REF: MLGE0207

NAT: NCTM 9-12.GEO.1.a TOP: Lesson 3.2 Use Parallel Lines and Transversals

KEY: angles | parallel lines | transversal BLM: Analysis NOT: 978-0-618-65613-4

16. ANS: B PTS: 1 DIF: Level B REF: MCT90022

NAT: NCTM 9-12.GEO.1.a TOP: Lesson 3.2 Use Parallel Lines and Transversals

KEY: vertical | angle | parallel | transversal | congruent | corresponding

BLM: Analysis NOT: 978-0-618-65613-4

17. ANS: D PTS: 1 DIF: Level B REF: BMGM0362

STA: MI.MIGLC.MTH.06.9-12.A3.1.4 TOP: Lesson 3.4 Find and Use Slopes of Lines

KEY: line | slope | parallel | perpendicular BLM: Comprehension

NOT: 978-0-618-65613-4

18. ANS: A PTS: 1 DIF: Level B REF: MHGM0007

STA: MI.MIGLC.MTH.06.9-12.A1.2.9 | MI.MIGLC.MTH.06.9-12.A3.1.4

TOP: Lesson 3.4 Find and Use Slopes of Lines KEY: line | slope | parallel | perpendicular

NOT: 978-0-618-65613-4

19. ANS: D PTS: 1 DIF: Level B REF: MHGM0504

STA: MI.MIGLC.MTH.06.9-12.A1.2.9 | MI.MIGLC.MTH.06.9-12.A3.1.4

TOP: Lesson 3.4 Find and Use Slopes of Lines KEY: slope | parallel | perpendicular


20. ANS: D PTS: 1 DIF: Level B REF: MALG0666

NAT: NCTM 9-12.ALG.4.a TOP: Lesson 3.4 Find and Use Slopes of Lines

KEY: interpret | graph BLM: Application NOT: 978-0-618-65613-4

21. ANS: B PTS: 1 DIF: Level B REF: BMGM0364

STA: MI.MIGLC.MTH.06.9-12.A3.1.4 TOP: Lesson 3.5 Write and Graph Equations of Lines

KEY: equation | slope | parallel | perpendicular BLM: Comprehension

NOT: 978-0-618-65613-4

22. ANS: D

PM: Fixed duplicate answer error.

PTS: 1 DIF: Level B REF: MC100268

TOP: Lesson 3.5 Write and Graph Equations of Lines

KEY: linear | equation | graph | change | parameter BLM: Analysis

NOT: 978-0-618-65613-4

23. ANS: A PTS: 1 DIF: Level A REF: HLGM0266

NAT: NCTM 9-12.GEO.1.a STA: MI.MIGLC.MTH.06.9-12.G1.2.2

TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | acute | triangle | measure


24. ANS: B PTS: 1 DIF: Level B REF: MC100123

STA: MI.MIGLC.MTH.06.9-12.G1.2.2 TOP: Lesson 4.1 Apply Triangle Sum Properties

KEY: triangle | perimeter | side | isosceles BLM: Application

NOT: 978-0-618-65613-4

ID: A

3

25. ANS: C PTS: 1 DIF: Level B REF: DJAM1027

NAT: NCTM 9-12.GEO.1.b


TOP: Lesson 4.2 Apply Congruence and Triangles KEY: triangles | congruent


26. ANS: A PTS: 1 DIF: Level B REF: MCT90021

STA: MI.MIGLC.MTH.06.9-12.G1.1.2 TOP: Lesson 4.2 Apply Congruence and Triangles

KEY: triangle | congruent BLM: Comprehension

NOT: 978-0-618-65613-4

27. ANS: C PTS: 1 DIF: Level B REF: MGCS0293

TOP: Lesson 4.3 Prove Triangles Congruent by SSS KEY: triangle | congruent




TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL

KEY: triangle | parallel lines | congruence | ASA | SAS BLM: Comprehension

NOT: 978-0-618-65613-4

29. ANS: D PTS: 1 DIF: Level C REF: HLGM0274

NAT: NCTM 9-12.REP.2 | NCTM 9-12.PRS.3 | NCTM 9-12.GEO.1.a

STA: MI.MIGLC.MTH.06.9-12.A1.2.1 | MI.MIGLC.MTH.06.9-12.G1.2.2

TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: triangle | segment | congruent


30. ANS: C PTS: 1 DIF: Level C REF: HLGM0315


TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: triangle | segment | congruent


31. ANS: B PTS: 1 DIF: Level A REF: TASH0022


TOP: Lesson 4.8 Perform Congruence Transformations KEY: reflection | rotation | translation


32. ANS: B PTS: 1 DIF: Level A REF: DD020284


TOP: Lesson 4.8 Perform Congruence Transformations KEY: translations


33. ANS: C PTS: 1 DIF: Level C REF: MC100132


TOP: Lesson 4.8 Perform Congruence Transformations KEY: word | rotation | transformation

BLM: Application NOT: 978-0-618-65613-4

34. ANS: A PTS: 1 DIF: Level B REF: MHGM0083

STA: MI.MIGLC.MTH.06.9-12.G1.1.3 TOP: Lesson 5.2 Use Perpendicular Bisectors

KEY: perpendicular bisector BLM: Comprehension

NOT: 978-0-618-65613-4

35. ANS: B PTS: 1 DIF: Level B REF: HLGM0344

STA: MI.MIGLC.MTH.06.9-12.G1.2.5 TOP: Lesson 5.3 Use Angle Bisectors of Triangles

KEY: angle | triangle | perpendicular | bisect BLM: Comprehension

NOT: 978-0-618-65613-4

ID: A

4

36. ANS: B PTS: 1 DIF: Level B REF: MLGE0348

TOP: Lesson 5.5 Use Inequalities in a Triangle KEY: triangle | inequality theorem

BLM: Application NOT: 978-0-618-65613-4

37. ANS: D PTS: 1 DIF: Level B REF: PHGM0418

TOP: Lesson 5.5 Use Inequalities in a Triangle KEY: triangle inequality


38. ANS: B PTS: 1 DIF: Level B REF: MLGE0060

TOP: Lesson 5.6 Inequalities in Two Triangles and Indirect Proof

KEY: triangle | congruent | Hinge Theorem BLM: Comprehension

NOT: 978-0-618-65613-4




NOT: 978-0-618-65613-4

40. ANS: D PTS: 1 DIF: Level B REF: MGEO0009



NOT: 978-0-618-65613-4

41. ANS: C PTS: 1 DIF: Level B REF: HLGM0411


KEY: triangle | Hinge Theorem BLM: Comprehension

NOT: 978-0-618-65613-4

42. ANS: A PTS: 1 DIF: Level A REF: HLGM0410


KEY: compare | triangle | measure BLM: Knowledge NOT: 978-0-618-65613-4

43. ANS: D PTS: 1 DIF: Level B REF: HLGM0609

TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean KEY: proportion


44. ANS: C PTS: 1 DIF: Level A REF: HLGM0611

TOP: Lesson 6.2 Use Proportions to Solve Geometry Problems KEY: solve | proportion


45. ANS: D PTS: 1 DIF: Level B REF: AXG80675

NAT: NCTM 9-12.MEA.1.a TOP: Lesson 6.2 Use Proportions to Solve Geometry Problems

KEY: ratio | word | proportion | scale BLM: Application NOT: 978-0-618-65613-4

46. ANS: D PTS: 1 DIF: Level B REF: MLGE0169

NAT: NCTM 9-12.GEO.1.b


TOP: Lesson 6.4 Prove Triangles Similar by AA KEY: similar | triangle


47. ANS: A PTS: 1 DIF: Level B REF: HLGM0641


TOP: Lesson 6.5 Prove Triangles Similar by SSS and SAS KEY: similar | triangle | rule


48. ANS: B PTS: 1 DIF: Level A REF: HLGM0644


TOP: Lesson 6.5 Prove Triangles Similar by SSS and SAS KEY: side | corresponding | proportional


ID: A

5

49. ANS: B PTS: 1 DIF: Level B REF: HLGM0665

TOP: Lesson 6.6 Use Proportionality Theorems KEY: proportion | similar | triangle


50. ANS: D PTS: 1 DIF: Level B

REF: 62ac7800-4f27-11db-b4d8-0011258082f7

TOP: Lesson 6.7 Perform Similarity Transformations KEY: dilation | similar figures


examview - geometry first semester exam...

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