Honors Geometry Mid-Term Exam Review - ... Honors Geometry Mid-Term Exam Review Multiple Choice...

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

    1

    Honors Geometry Mid-Term Exam Review

    Multiple Choice

    Identify the letter of the choice that best completes the statement or answers the question.

    1. Classify the triangle by its sides. The diagram is

    not to scale.

    a. straight b. equilateral c. isosceles

    d. scalene

    2. Find the perimeter of the rectangle. The drawing is

    not to scale.

    a. 158 feet b. 79 feet c. 107 feet d. 130 feet

    3. Supplementary angles are two angles whose

    measures have sum ____.

    Complementary angles are two angles whose

    measures have sum ____.

    a. 90; 180 b. 180; 90 c. 90; 45 d. 180; 360

    4. Find the values of a and b.The diagram is not to

    scale.

    a. a = 126, b = 54 b. a = 126, b = 50

    c. a = 130, b = 54 d. a = 130, b = 50

    5. DF →

    bisects ∠EDG. Find FG. The diagram is not to

    scale.

    a. 23 b. 22 c. 44 d. 27

    6. The complement of an angle is 59°. What is the

    measure of the angle?

    a. 41° b. 131° c. 31° d. 121°

    7. Which statement is an example of the Subtraction

    Property of Equality?

    a. If c = d then c + e = d + e b. c = d c. If

    c = d then c ⋅ e = d ⋅ e d. If c = d then

    c − e = d − e.

    8. Find the distance between points P(7, 1) and Q(4,

    6) to the nearest tenth.

    a. 34 b. 8 c. 5.8 d. 13

  • Name: ________________________ ID: A

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    9. List the sides in order from shortest to longest. The

    diagram is not to scale.

    a. JK , LJ , LK b. JK , LK , LJ c. LK , JK , LJ

    d. LK , LJ , JK

    10. Find the value of x.

    a. 5 b. 7 c. 9 d. 9.5

    11. LMNO is a parallelogram. If NM = x + 9 and OL =

    2x + 6 find the value of x and then find NM and

    OL.

    a. x = 3, NM = 14, OL = 12 b. x = 5, NM = 12,

    OL = 14 c. x = 3, NM = 12, OL = 12 d. x = 5,

    NM = 14, OL = 14

    12. What is the measure of a base angle of an isosceles

    triangle if the vertex angle measures 38° and the

    two congruent sides each measure 21 units?

    a. 71° b. 152° c. 142° d. 76°

    13. Complete the statement. If a transversal intersects

    two parallel lines, then ____.

    a. same-side interior angles are complementary

    b. alternate interior angles are congruent

    c. corresponding angles are supplementary

    d. none of these

    14. Find the values of x and y.

    a. x = 90, y = 56 b. x = 90, y = 34

    c. x = 34, y = 56 d. x = 56, y = 34

  • Name: ________________________ ID: A

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    15. Line r is parallel to line t. Find m∠5. The diagram

    is not to scale.

    a. 146 b. 24 c. 34 d. 134

    16. If T is the midpoint of SU , find the values of x and

    ST. The diagram is not to scale.

    a. x = 19, ST = 75 b. x = 14, ST = 56 c. x = 14,

    ST = 75 d. x = 19, ST = 56

    17. Write an equation in point-slope form, y – y1 = m(x

    – x1), of the line through points (10, –8) and (9, 2)

    Use (10, –8) as the point (x1, y1).

    a. (y + 8) = –10(x – 10) b. (y – 8) = –10(x + 10)

    c. (y + 8) = 10(x – 10) d. (y – 8) = 10(x + 10)

    18. Find the value of the variable. The diagram is not

    to scale.

    a. 61 b. 12 c. 41 d. 22

    19. Justify the last two steps of the proof.

    Given: PQ ≅ SR and PR ≅ SQ

    Prove: ∆PQR ≅ ∆SRQ

    Proof:

    1. PQ ≅ SR 1. Given

    2. PR ≅ SQ 2. Given

    3. QR ≅ RQ 3. ?

    4. ∆PQR ≅ ∆SRQ 4. ?

    a. Reflexive Property of ≅; SAS b. Symmetric

    Property of ≅; SAS c. Symmetric Property of ≅;

    SSS d. Reflexive Property of ≅; SSS

    20. Find the value of x. The diagram is not to scale.

    a. 40 b. 100 c. 68 d. 80

  • Name: ________________________ ID: A

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    21. What is the intersection of plane TUYX and plane

    VUYZ?

    a. TX →←

    b. VZ →←

    c. UY →←

    d. SW →←

    22. Which three lengths can NOT be the lengths of the

    sides of a triangle?

    a. 10 m, 12 m, 10 m b. 16 m, 5 m, 11 m c. 6

    m, 10 m, 8 m d. 24 m, 19 m, 15 m

    23. Jay, Kay, and Ray found themselves far apart when

    they stopped for lunch while working in a field. Jay

    could see Kay, then turn through 66° and see Ray.

    Kay could see Ray, then turn through 54° and see

    Jay. Ray could see Jay, then turn through 60° and

    see Kay. Which two were farthest apart?

    a. Ray and Jay b. Kay and Ray c. Jay and Kay

    d. Kay and Ray were the same distance apart as

    Ray and Jay.

    24. The sides of an isosceles triangle have lengths

    2x + 2, x + 5. The base has length 2x + 6. What is

    the length of the base?

    a. 8 b. 3 c. 12 d. cannot be determined

    25. A triangle has side lengths of 14 cm, 48 cm, and 50

    cm. Classify it as acute, obtuse, or right.

    a. right b. obtuse c. acute

    26. Name the smallest angle of ∆ABC. The diagram is

    not to scale.

    a. Two angles are the same size and smaller than

    the third. b. ∠B c. ∠A d. ∠C

    27. Q is equidistant from the sides of ∠TSR. Find the

    value of x. The diagram is not to scale.

    a. 13 b. 4 c. 34 d. 17

  • Name: ________________________ ID: A

    5

    Fill in each missing reason.

    28. Given: m∠PQR = x + 7, m∠SQR = x + 3, and m∠PQS = 100.

    Find x.

    m∠PQR + m∠SQR = m∠PQS a. _____

    x + 7 + x + 3 = 100 b. Substitution Property

    2x + 10 = 100 c. Simplify

    2x = 90 d. _____

    x = 45 e. Division Property of Equality

    a. Angle Addition Postulate; Subtraction Property of Equality b. Protractor Postulate; Addition Property of

    Equality c. Angle Addition Postulate; Addition Property of Equality d. Protractor Postulate; Subtraction

    Property of Equality

    29. Given: 8x − 5y = 1; x = −2

    Prove: −17

    5 = y

    8x − 5y = 1; x = −2 a. ________

    −16 − 5y = 1 b. ________

    −5y = 17 c. ________

    y = −17

    5 d. ________

    −17

    5 = y e. ________

    a. a. Given

    b. Substitution Property

    c. Addition Property of Equality

    d. Division Property of Equality

    e. Symmetric Property of Equality

    c. a. Given

    b. Substitution Property

    c. Addition Property of Equality

    d. Division Property of Equality

    e. Reflexive Property of Equality

    b. a. Given

    b. Substitution Property

    c. Addition Property of Equality

    d. Addition Property of Equality

    e. Symmetric Property of Equality

    d. a. Given

    b. Symmetric Property of Equality

    c. Addition Property of Equality

    d. Division Property of Equality

    e. Reflexive Property of Equality

  • Name: ________________________ ID: A

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    30. If ∠A ≅ ∠D and ∠C ≅ ∠F, which additional statement does NOT allow you to conclude that ∆ABC ≅ ∆DEF?

    a. BC ≅ EF b. AB ≅ EF c. ∠B ≅ ∠E d. AC ≅ DF

    31. Given ∆QRS ≅ ∆TUV, QS = 5v + 2, and

    TV = 7v − 8, find the length of QS and TV.

    a. 28 b. 27 c. 43 d. 5

    32. Which three lengths could be the lengths of the

    sides of a triangle?

    a. 19 cm, 6 cm, 6 cm b. 13 cm, 9 cm, 22 cm

    c. 9 cm, 25 cm, 10 cm d. 10 cm, 13 cm, 22 cm

    33. DEFG is a rectangle. DF = 3x – 5 and EG = x + 15.

    Find the value of x and the length of each diagonal.

    a. x = 5, DF = 20, EG = 20 b. x = 10, DF = 20,

    EG = 20 c. x = 10, DF = 25, EG = 28 d. x = 10,

    DF = 25, EG = 25

    34. In the figure shown, m∠AED = 120. Which of the

    following statements is false?

    Not drawn to scale

    a. ∠DEC and ∠DEA are vertical angles.

    b. ∠DEA and ∠AEB are adjacent angles.

    c. m∠AEB = 60 d. m∠BEC = 120

    35. Noam wants to put a fence around his rectangular

    garden. His garden measures 31 feet by 36 feet.

    The garden has a path around it that is 3 feet wide.

    How much fencing material does Noam need to

    enclose the garden and path?

    a. 110 ft b. 158 ft c. 79 ft d. 146 ft

    36. Find AM in the parallelogram if PN =10 and AO =

    6. The diagram is not to scale.

    a. 12 b. 6 c. 5 d. 10

    37. Find the value of x. The diagram is not to scale.

    a. x = 22 b. x = 50 c. x = 14 d. none of

    these

  • Name: ________________________ ID: A

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    38. Name the three labeled segments that are parallel to

    BF .

    a. DH , GH , AE b. CD, AE, DH c. FH , CG,

    AE, d. CG, AE, DH

    39. Use the information in the diagram to determine

    the height of the tree. The diagram is not to scale.

    a. 32.5 ft b. 65 ft c. 130 ft d. 30.5 ft

    40. Find the missing angle measures. The diagram is

    not to scale.