1.   Solve the equation 3b - 5 = 18.
    A. b = B. b = 26
    C. b = 20 D. b =
    Hint
  2.   Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.''
    A. If Leon does not buy more, then Deanna did not eat the last cookie.
    B. If Deanna does not eat the last cookie, then Leon will not buy more.
    C. If Deanna eats the last cookie, then Leon will not buy more.
    D. If Deanna does not eat the last cookie, then Leon will buy more.
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  3.   Which statement explains why
   
    A. Vertical angles are congruent.
    B. All right angles are congruent.
    C. Angles adjacent to the same angle or to congruent angles are congruent.
    D. Angles complementary to the same angle or to congruent angles are congruent.
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  4.   If which lines must be parallel?
   
    A. B.
    C. D.
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  5.   What is if and
   
    A. 88 B. 31
    C. 78 D. 68
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  6.   Order the steps for writing an indirect proof.
   
    A. 1, 2, 3 B. 3, 2, 1
    C. 2, 1, 3 D. 2, 3, 1
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  7.   Find the value of x.
   
    A. 5.8 B. 6.4
    C. 7.6 D. 10
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  8.   The measures of both legs of a right triangle are 4. What is the measure of the hypotenuse?
    A. 8 B.
    C. D.
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  9.   In the triangle, sin A = ____.
   
    A. B. 5
    C. D.
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  10.   Surveying Two of the sides of a triangular lot have lengths of 90 feet and 80 feet. If the angle opposite the 80-foot side is 59°, what is the length of the third side of the lot to the nearest tenth of a foot?
    A. 65.1 ft B. 57.9 ft
    C. 67.5 ft D. 10 ft
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  11.   Which statement is true for the figure below?
   
    A. is a translation image of
    B. is a translation image of
    C. is a rotation image of
    D. is a rotation image of
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  12.   Which cannot be used as a reason in a proof?
    A. postulates B. Definitions
    C. Algebra properties D. conjectures
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  13.   For the proof shown, provide the reason for part d.
   
   
    A. Definition of Addition B. Definition of a line
    C. Definition of congruent segments D. Symmetric Property (=)
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  14.   Find the distance from R(-7, 8) to the line with the equation y = 5.
    A. 5 B. 11
    C. -3 D. 3
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  15.   If how would you find the distance between the lines?
   
    A. Find the distance from point A to line s. B. Find the distance from point A to line r.
    C. Find the distance from point A to point C. D. Find the distance from point B to point D.
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  16.   If AB = 1, WX = 2, BD = 7, and YZ = 3, then what is the measure of ?
   
    A. 4 B. 11
    C. 10 D. 14
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  17.   If cos A = 0.8674, what is the measure of A to the nearest tenth of a degree?
    A. 0.5° B. 40.9°
    C. 29.8° D. 60.2°
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  18.   Kendra cuts a triangle out of a piece of paper. With a protractor, she measures one of the angles to be 58.3°. Then she uses a ruler to find that the length of the opposite side is 16.5 cm, and the length of one of the other sides is 18.3 cm. To the nearest tenth of a cm, how long is the third side of Kendra's triangle?
    A. 18.3 cm B. 15.1 cm
    C. 13.6 cm D. 18.1 cm
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  19.   Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism.

(1) A right angle measures 90°.

(2) Two angles are complementary if the sum of their measures is 180°.

(3) Two right angles are complementary.
    A. valid; Law of Syllogism B. valid; neither law
    C. invalid D. valid; Law of Detachment
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  20.   There are two triangular flags in front of Allison’s school. Suppose m∠P and m∠S are 75, and m∠Q and m∠T are 30. The lengths PQ and ST measure 3.5 feet.

Determine whether triangles PQR and STU are congruent. If they are congruent, state the definition of congruent triangles that proves their congruence.
   
    A. not congruent B. SAS
    C. ASA D. AAS
    Hint