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Name: ________________________ Class: ___________________ Date: __________ ID: A 1 Geometry Chapter4 Review ____ 1. Classify ΔPQR. a. none of these b. Isosceles c. Scalene d. Equilateral ____ 2. Name a right triangle. a. ΔBDC b. none of these c. ΔADB d. ΔABC ____ 3. 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 ____ 4. How many obtuse angles can an isosceles triangle have? a. 2 b. 3 c. 0 d. 1

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

    1

    Geometry Chapter4 Review

    ____ 1. Classify ∆PQR.

    a. none of these b. Isosceles c. Scalene d. Equilateral

    ____ 2. Name a right triangle.

    a. ∆BDC b. none of these c. ∆ADB d. ∆ABC

    ____ 3. 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

    ____ 4. How many obtuse angles can an isosceles triangle have?

    a. 2 b. 3 c. 0 d. 1

  • Name: ________________________ ID: A

    2

    ____ 5. Find the value of x:

    a. 127° b. 35° c. 88° d. 145°

    ____ 6. Find the value of x.

    a. 117 b. 297 c. 66 d. 51

    ____ 7. Find the value of x.

    a. 14° b. 166° c. 104° d. 28°

  • Name: ________________________ ID: A

    3

    ____ 8. Find the measure of the interior angles to the nearest tenth. (Drawing is not to scale.)

    a. 70.9°, 19.1°, 90.0° c. 67.8°, 25.2°, 87.0°

    b. 66.9°, 22.1°, 91.0° d. 68.4°, 21.1°, 90.5°

    ____ 9. Use the figure below to solve for x.

    a. 55 b. 90 c. 145 d. 45

    ____ 10. Refer to the figure below. m∠C = .

    a. 100° b. 17° c. 148° d. 15°

    ____ 11. Refer to the figure below. m∠A = .

    a. 67° b. 35° c. 141° d. 74°

  • Name: ________________________ ID: A

    4

    ____ 12. The measure of ∠B is .

    a. 99° b. 89° c. 79° d. 101°

    ____ 13. 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

    ____ 14. What is the value of z? (The figure may not be drawn to scale.)

    a. z = 56 b. z = 25 c. z = 64 d. z = 31

    15. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.

    What is the measure, in degrees, of ∠QPN?

    16. Complete the statement using one of the following words: always, sometimes, or never. "An isosceles

    triangle is an obtuse triangle."

  • Name: ________________________ ID: A

    5

    17. Find the measures of all three angles of the triangle.

    The expressions given represent the measures of the acute angles of a right triangle. Find the measure

    of each acute angle.

    18. x û , 2x û

    19. 5x û , 13x û

    ____ 20. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.

    a. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 5 ft

    b. a = 5 ft; b = 28°; c = 62°; d = 90°; e = 5 ft

    c. a = 9.5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft

    d. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft

    ____ 21. 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

    ____ 22. In the diagram, ∠B ≅ ∠E and ∠C ≅ ∠F. Find the value of x.

    a. x = 50 b. x = 25 c. x = 75 d. x = 35

  • Name: ________________________ ID: A

    6

    ____ 23. If ∆ABC ≅ ∆PQR and ∆PQR ≅ ∆LMK , then ∆ABC ≅ ∆LMK. This illustrates which property of congruence?

    a. Transitive b. Commutative c. Symmetric d. Reflexive

    ____ 24. If ∆MNO ≅ ∆VWX, which statement is NOT true?

    a. NO ≅ VW c. MO ≅ VX

    b. ∠O ≅ ∠X d. ∠N ≅ ∠W

    25. Given: ∆LMN ≅ ∆UVW . Complete the statements.

    a. UW ≅

    b. ∠LMN ≅

    26. If ∆RPQ ≅ ∆JKL, then LJ ≅ .

    ____ 27. Refer to the figure below. ∆ABC ≅ .

    a. ∆CDE b. ∆EDA c. ∆ACE d. ∆EDC

    Explain how you know the triangles are congruent. Then write an equation and solve for x.

    ____ 28.

    a. Side-Angle-Side; x − 3 = 8, 5 c. Side-Angle-Side; x − 3 = 8, 11

    b. Side-Side-Side; x − 3 = 8, 11 d. Side-Side-Side; x − 3 = 8, 5

  • Name: ________________________ ID: A

    7

    ____ 29. Determine which triangle is congruent to the given triangle.

    a. none of these c.

    b. d.

    ____ 30. Refer to the figure below. Which of the following statements is true?

    HLK is isosceles with base HK , ∠IHL and ∠JKL are right angles, IK ≅ JH

    a. ∆HIL ≅ ∆KJL by HL c. ∆HKI ≅ ∆HJK by SAS

    b. ∆HLK ≅ ∆JLK by SSS d. There are no congruent triangles.

  • Name: ________________________ ID: A

    8

    ____ 31. What must be true in order for ∆ABC ≅ ∆EDC by the SAS Congruence Postulate?

    a. ∠B ≅ ∠D b. ∠A ≅ ∠E c. AC ≅ CE d. AB ≅ DE

    ____ 32. 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

    ____ 33. Given:∠B ≅ ∠E and ∠C ≅ ∠F. What other piece of information is needed to show ∆ABC ≅ ∆DEF by ASA

    Congruence Postulate?

    a. EF ≅ FE b. BC ≅ EF c. ∠A ≅ ∠D d. ∠B = ∠F

    ____ 34. ∆ABD ≅ ∆CBD. Name the theorem or postulate that justifies the congruence.

    a. ASA b. AAS c. SAS d. HL

  • Name: ________________________ ID: A

    9

    Would HL, ASA, SAS, AAS, or SSS be used to justify that the pair of triangles is congruent?

    35.

    ____ 36. Which postulate or theorem can be used to determine the length of RT ?

    a. ASA Congruence Postulate c. SSS Congruence Postulate

    b. AAS Congruence Theorem d. SAS Congruence Postulate

  • Name: ________________________ ID: A

    10

    ____ 37. Given: BD bisects ∠ABC, AB ≅ BC

    Prove: AD ≅ CD

    Proof:

    Statements Reasons

    1. AB ≅ BC 1. Given

    2. BD ≅ BD 2. Reflexive Prop. of ≅

    3. BD bisects ∠ABC 3. Given

    4. ? 4. Def. of bisector

    5. ∆ABD ≅ ∆CBD 5. SAS Congruence Postulate

    6. AD ≅ CD6. Corresponding Parts of

    Congruent Triangles are Congruent

    The missing step in the proof is .

    a. ∠BAD ≅ ∠BCD c. ∠ABD ≅ ∠CBD

    b. ∠BDA ≅ ∠BDC d. ∠ABC ≅ ∠CBA

    ____ 38. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 40 degrees and its

    2 congruent sides measure 25 units?

    a. 70° b. 140° c. 50° d. 40°

  • Name: ________________________ ID: A

    11

    ____ 39. 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

    ____ 40. In ∆ABC, if AB ≅ BC and m∠A = 39°, then m∠C = .

    a. 102° b. 39° c. m∠B d. 141°

    ____ 41. Find the values of x and y.

    a. x = 84°, y = 96° c. x = 12°, y = 96°

    b. x = 84°, y = 64° d. x = 12°, y = 84°

    ____ 42. 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

    ____ 43. Given m∠NOP = m∠NPO; NO = 2n + 4; NP = 8n − 3; OP = 9; find NO.

    a. NO = 3 c. NO = 7

    6

    b. NO = 19

    3d. NO = 22

    44. Refer to the figure below. Give a reason to justify the statement.∠CDO ≅ ∠COD

    45. In ∆ABC, AC = BC. The length of AC is three times the length of AB. Find the lengths of all three sides of

    the triangle if the perimeter of the triangle is 35 inches.

  • Name: ________________________ ID: A

    12

    ____ 46. The change in position from the solid figure to the dotted figure is best described as a .

    a. reflection b. transmission c. rotation d. translation

    ____ 47. Which picture shows a reflection of the flag?

    a. c.

    b. d.

  • Name: ________________________ ID: A

    13

    ____ 48. Which graph represents a reflection in the x-axis?

    a. c.

    b. d.

    ____ 49. A point P has coordinates (6, –4). What are its new coordinates after point P is reflected over the y-axis?

    a. (6, 4) b. (–6, 4) c. (6, –4) d. (–6, –4)

    ____ 50. Identify the coordinates of the image point formed after (–1, 3) is reflected over the x-axis.

    a. (–1, 3) b. (1, 3) c. (1, –3) d. (–1, –3)

    ____ 51. What is the translation image of (–3, –6) after the translation x, yÊËÁÁ ˆ

    ¯˜̃ → (x+ 4, y+ 3)?

    a. (–7, –9) b. (1, –9) c. (–7, –3) d. (1, –3)

    ____ 52. Identify the coordinates of the point (–5, –3) after a rotation of 180° clockwise about the origin.

    a. (–5, 3) b. (5, 3) c. (–3, –5) d. (5, –3)

    ____ 53. Identify the coordinates of the point (10, –20) after a clockwise rotation of 180° about the origin.

    a. (–10, 20) b. (10, 20) c. (–20, –10) d. (–10, –20)

    ____ 54. 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

  • Name: ________________________ ID: A

    14

    The vertices of a polygon are given. Graph the polygon. Then graph its image using the indicated

    reflection.

    ____ 55. A 3, 0ÊËÁÁ ˆ

    ¯˜̃ , B 6, 2Ê

    ËÁÁ ˆ

    ¯˜̃ , C 5, 5Ê

    ËÁÁ ˆ

    ¯˜̃ , D 2, 3Ê

    ËÁÁ ˆ

    ¯˜̃ ; reflection in the y-axis

    a. c.

    b. d.

    ____ 56. F −6, 3ÊËÁÁ ˆ

    ¯˜̃ , G −3, 3Ê

    ËÁÁ ˆ

    ¯˜̃ , H −6, 6Ê

    ËÁÁ ˆ

    ¯˜̃; reflection in the y-axis

    a. c.

    b. d. none of these

  • Name: ________________________ ID: A

    15

    57. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.

    The graph of the line 2x − 3y = 6 is shown below.

    If every point on the graph of the line 2x − 3y = 6 is translated left 6 units, what is the y-intercept of the

    image line?

    58. What is the translation image of (-5, -7) after the translation x, yÊËÁÁ ˆ

    ¯˜̃ → (x− 2, y+ 4)?

    Describe the given translation using coordinate notation.

    59. Every point moves to the left 2 units and down 1 unit.

    60. Every point moves to the right 4 units and down 3 units.

  • ID: A

    1

    Geometry Chapter4 Review

    Answer Section

    1. ANS: B PTS: 1 DIF: Level A REF: MLGE0222

    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: triangle | classify | isosceles | equilateral | scalene BLM: Knowledge

    NOT: 978-0-618-65613-4

    2. ANS: D PTS: 1 DIF: Level A REF: MHGM0048

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 TOP: Lesson 4.1 Apply Triangle Sum Properties

    KEY: identify | right | obtuse | acute | triangle BLM: Knowledge

    NOT: 978-0-618-65613-4

    3. 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

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

    4. ANS: D PTS: 1 DIF: Level B REF: HLGM0272

    TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: obtuse | triangle | isosceles

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

    5. ANS: D PTS: 1 DIF: Level A REF: MHGM0049

    STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |

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

    KEY: angle | theorem | exterior BLM: Comprehension

    NOT: 978-0-618-65613-4

    6. ANS: D PTS: 1 DIF: Level A REF: MHGM0050

    STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |

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

    KEY: angle | exterior | exterior angle BLM: Comprehension

    NOT: 978-0-618-65613-4

    7. ANS: A PTS: 1 DIF: Level A REF: MOT70177

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

    TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: angle | right | triangle | sum

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

    8. ANS: D PTS: 1 DIF: Level B REF: MLGE0224

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

    TOP: Lesson 4.1 Apply Triangle Sum Properties KEY: solve | triangle sum

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

    9. ANS: D PTS: 1 DIF: Level B REF: MLGE0226

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

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

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

    10. ANS: B PTS: 1 DIF: Level B REF: HLGM0292

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

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

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

  • ID: A

    2

    11. ANS: A PTS: 1 DIF: Level B REF: HLGM0293

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

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

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

    12. ANS: D PTS: 1 DIF: Level B REF: HLGM0294

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

    STA: MI.MIGLC.MTH.06.9-12.G1.1.1 | MI.MIGLC.MTH.06.9-12.G1.2.1 |

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

    KEY: angle | triangle | measure BLM: Comprehension

    NOT: 978-0-618-65613-4

    13. 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

    14. ANS: C PTS: 1 DIF: Level B REF: MCT90016

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

    TOP: Lesson 4.1 Apply Triangle Sum Properties

    KEY: angle | triangle | sum | interior | supplement | complementary | exterior

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

    15. ANS: 142

    PTS: 1 DIF: Level B REF: MC100130 NAT: NCTM 9-12.REP.1

    STA: MI.MIGLC.MTH.06.9-12.L2.3.2 | MI.MIGLC.MTH.06.9-12.G1.2.1 |

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

    KEY: angle | triangle | supplement | exterior BLM: Comprehension

    NOT: 978-0-618-65613-4

    16. ANS: sometimes

    PTS: 1 DIF: Level B REF: MLGE0447 NAT: NCTM 9-12.GEO.1.a

    STA: MI.MIGLC.MTH.06.9-12.L3.3.3 TOP: Lesson 4.1 Apply Triangle Sum Properties

    KEY: obtuse | triangle | isosceles BLM: Comprehension

    NOT: 978-0-618-65613-4

    17. ANS:

    66°, 64°, 50° (x = 33)

    PTS: 1 DIF: Level B REF: MLGE0225

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

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

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

    18. ANS:

    30û , 60û

    PTS: 1 DIF: Level B REF: 7f532474-cdbb-11db-b502-0011258082f7

    TOP: Lesson 4.1 Apply Triangle Sum Properties

    KEY: Right triangle | complementary angles BLM: Knowledge

    NOT: 978-0-618-65613-4

  • ID: A

    3

    19. ANS:

    25û , 65û

    PTS: 1 DIF: Level B REF: 7f534b84-cdbb-11db-b502-0011258082f7

    TOP: Lesson 4.1 Apply Triangle Sum Properties

    KEY: Right triangle | complementary angles BLM: Knowledge

    NOT: 978-0-618-65613-4

    20. ANS: D PTS: 1 DIF: Level B REF: MHGM0045

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

    KEY: triangle | missing | congruent BLM: Comprehension

    NOT: 978-0-618-65613-4

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

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

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

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

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

    22. ANS: B PTS: 1 DIF: Level B REF: MLGE0047

    NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.2 Apply Congruence and Triangles

    KEY: angle | triangle | measure | congruent BLM: Comprehension

    NOT: 978-0-618-65613-4

    23. ANS: A PTS: 1 DIF: Level B REF: HLGM0275

    STA: MI.MIGLC.MTH.06.9-12.G2.3.2 TOP: Lesson 4.2 Apply Congruence and Triangles

    KEY: triangle | congruent | transitive property BLM: Comprehension

    NOT: 978-0-618-65613-4

    24. 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

    25. ANS: a. LN b. ∠UVW

    PTS: 1 DIF: Level A REF: MLGE0123 STA: MI.MIGLC.MTH.06.9-12.G1.1.2

    TOP: Lesson 4.2 Apply Congruence and Triangles

    KEY: angle | triangle | segment | congruent BLM: Knowledge

    NOT: 978-0-618-65613-4

    26. ANS:

    QR

    PTS: 1 DIF: Level A REF: HLGM0258

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

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

    27. ANS: D PTS: 1 DIF: Level B REF: HLGM0273

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

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

    28. ANS: B PTS: 1 DIF: Level B REF: MGR80076

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

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

  • ID: A

    4

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

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

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

    30. ANS: A PTS: 1 DIF: Level B REF: MLGE0231

    TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL KEY: triangle | congruence

    BLM: Comprehension

    31. ANS: C PTS: 1 DIF: Level B REF: HLGM0307

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.4 Prove Triangles Congruent by SAS and HL KEY: triangle | congruent | SAS

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

    32. ANS: C PTS: 1 DIF: Level B REF: MLGE0234

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    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

    33. ANS: B PTS: 1 DIF: Level C REF: HLGM0317

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS KEY: triangle | congruent | ASA

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

    34. ANS: B PTS: 1 DIF: Level B REF: MHGM0080

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS

    KEY: triangle | congruence | ASA | HL | AAS | SAS BLM: Comprehension

    NOT: 978-0-618-65613-4

    35. ANS:

    AAS

    PTS: 1 DIF: Level B REF: MIM20468

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.5 Prove Triangles Congruent by ASA and AAS KEY: congruent | proof | triangle

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

    36. ANS: B PTS: 1 DIF: Level B REF: HLGM0316

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.6 Use Congruent Triangles KEY: triangle | length | segment | AAS

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

    37. ANS: C PTS: 1 DIF: Level A REF: MLGE0235

    NAT: NCTM 9-12.REA.4 | NCTM 9-12.GEO.1.c | NCTM 9-12.REA.3

    STA: MI.MIGLC.MTH.06.9-12.G1.4.2 | MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.6 Use Congruent Triangles KEY: congruent | proof | bisector

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

    38. ANS: A PTS: 1 DIF: Level B REF: TASH0121

    STA: MI.MIGLC.MTH.06.9-12.G1.3.1 TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles

    KEY: angle | triangle | isosceles BLM: Comprehension

    NOT: 978-0-618-65613-4

  • ID: A

    5

    39. 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

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

    40. ANS: B PTS: 1 DIF: Level B REF: HLGM0295

    TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles

    KEY: angle | triangle | segment | isosceles | congruent BLM: Comprehension

    NOT: 978-0-618-65613-4

    41. ANS: D PTS: 1 DIF: Level B REF: PHGM0402

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

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

    MI.MIGLC.MTH.06.9-12.G1.3.1 TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles

    KEY: angle | isosceles | exterior angle BLM: Comprehension

    NOT: 978-0-618-65613-4

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

    STA: MI.MIGLC.MTH.06.9-12.G2.3.1 | MI.MIGLC.MTH.06.9-12.G2.3.2

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

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

    43. ANS: B PTS: 1 DIF: Level B REF: MLGM0035

    NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH.06.9-12.G2.3.2

    TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles KEY: variable | triangle | properties

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

    44. ANS:

    If two sides of a triangle are congruent, then the angles opposite them are congruent.

    PTS: 1 DIF: Level B REF: MLGE0240 NAT: NCTM 9-12.GEO.1.a

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

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

    45. ANS:

    AC = 15 in., BC = 15 in., AB = 5 in.

    PTS: 1 DIF: Level B REF: MIM20475 STA: MI.MIGLC.MTH.06.9-12.G1.2.2

    TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles

    KEY: word | perimeter | length | isosceles triangle BLM: Comprehension

    NOT: 978-0-618-65613-4

    46. ANS: A PTS: 1 DIF: Level B REF: TASH0070

    STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3

    TOP: Lesson 4.8 Perform Congruence Transformations

    KEY: reflection | rotation | translation | transformation BLM: Knowledge

    NOT: 978-0-618-65613-4

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

    STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3

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

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

  • ID: A

    6

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

    STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: translations

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

    49. ANS: D PTS: 1 DIF: Level A REF: MLGM0092

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | axis | coordinates | reflection

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

    50. ANS: D PTS: 1 DIF: Level A REF: MLGM0074

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | axis | coordinates | reflection

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

    51. ANS: D PTS: 1 DIF: Level B REF: MLGM0093

    NAT: NCTM 9-12.GEO.3.a TOP: Lesson 4.8 Perform Congruence Transformations

    KEY: evaluate | point | coordinates | translation BLM: Comprehension

    NOT: 978-0-618-65613-4

    52. ANS: B PTS: 1 DIF: Level B REF: MLGM0098

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: point | rotation

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

    53. ANS: A PTS: 1 DIF: Level B REF: PMG71121

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: rotation

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

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

    STA: MI.MIGLC.MTH.06.9-12.G3.1.1 | MI.MIGLC.MTH.06.9-12.G3.1.3

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

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

    55. ANS: D PTS: 1 DIF: Level A REF: MLPA0725

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: graph | polygon | axis | reflection

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

    56. ANS: A PTS: 1 DIF: Level A REF: MLPA0726

    TOP: Lesson 4.8 Perform Congruence Transformations

    KEY: graph | triangle | vertices | coordinate | reflection BLM: Comprehension

    NOT: 978-0-618-65613-4

    57. ANS: 2

    PTS: 1 DIF: Level B REF: MC100251 NAT: NCTM 9-12.REP.1

    STA: MI.MIGLC.MTH.06.9-12.L2.3.2 | MI.MIGLC.MTH.06.9-12.G3.1.1

    TOP: Lesson 4.8 Perform Congruence Transformations

    KEY: line | equation | translate | y-intercept | standard form BLM: Comprehension

    NOT: 978-0-618-65613-4

    58. ANS:

    (–7, –3)

    PTS: 1 DIF: Level B REF: MLGM0094 NAT: NCTM 9-12.GEO.3.a

    TOP: Lesson 4.8 Perform Congruence Transformations

    KEY: evaluate | point | coordinates | translation BLM: Comprehension

    NOT: 978-0-618-65613-4

  • ID: A

    7

    59. ANS:

    (x, y) → (x – 2, y – 1)

    PTS: 1 DIF: Level B REF: BS022316

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: coordinate | translation

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

    60. ANS:

    (x, y) → (x + 4, y – 3)

    PTS: 1 DIF: Level B REF: BS022318

    TOP: Lesson 4.8 Perform Congruence Transformations KEY: coordinate | translation

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