1.   Name a point on the exterior of
   
    A. point G B. point C
    C. point E D. point D
    Hint

  2.   Which of the following is not one of the five essential parts needed to construct a good proof?
    A. State the theorem to be proved.
    B. If possible, draw a diagram to illustrate the given information.
    C. Develop a system of inductive reasoning.
    D. List the given information.
    Hint

  3.   Find the distance from G(-3, -1) to the line whose equation is y = 4.
    A. 4 B. 5
    C. 3 D. 2
    Hint

  4.   Which figure shows with mM = 90; mP > mN, and MP < MN?
    A. B.
    C. D.
    Hint

  5.   Name the remote interior angles of
   
    A. B.
    C. D.
    Hint

  6.   Which pair of triangles is congruent by the ASA Postulate?
    A. B.
    C. D.
    Hint

  7.   In the figure, intersects at H. Which additional fact is needed to prove by ASA?
   
    A. B.
    C. D.
    Hint

  8.   In which figure is a median and an angle bisector of
and is an altitude?
    A. B.
    C. D.
    Hint

  9.   Order the steps for writing an indirect proof.
   
    A. 2, 3, 1 B. 3, 2, 1
    C. 1, 2, 3 D. 2, 1, 3
    Hint

  10.   Which assumption would you make to start an indirect proof of the statement Bob took the dog for a walk
    A. Bob does not have to take the dog for a walk.
    B. Bob did not take the dog for a walk.
    C. Bob will take the dog for a walk.
    D. Bob may take the dog for a walk.
    Hint

  11.   Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square.
    A. If WXYZ has four right angles, then it is a square.
    B. If WXYZ is not a square, then it has four right angles.
    C. WXYZ has four right angles.
    D. If WXYZ is not a square, then it does not have four right angles.
    Hint

  12.   Which statement explains why
   
    A. If the sum of the measures of two angles is 180, then they are supplementary.
    B. All right angles are congruent.
    C. If two angles form a linear pair, then they are supplementary.
    D. Angles supplementary to the same angle are congruent.
    Hint

  13.   If two lines are cut by a transversal and ______ angles are congruent, then the lines are parallel.
    A. corresponding B. adjacent
    C. consecutive interior D. vertical
    Hint

  14.   Find the distance from R(6, -4) to the line with the equation y = 12.
    A. -16 B. 8
    C. 16 D. 6
    Hint

  15.   Which postulate or theorem can be used to prove that the two triangles shown are congruent?
   
    A. SSS Postulate B. SAS Postulate
    C. ASA Postulate D. AAS Theorem
    Hint

  16.   In isosceles PQR with base , PQ = 2x + 3, and PR = 9x - 11. What is the value of x?
    A. 2 B. -7
    C. 7 D.
    Hint

  17.   The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________.
    A. median B. angle bisector
    C. altitude D. perpendicular bisector
    Hint

  18.   PQR has vertices P(-4, 6), Q(4, 5), R(-2, -3). Which angle has the smallest measure?
    A. P B. There is not enough information to answer this question.
    C. R D. Q
    Hint

  19.   In STU, mS = 9x - 15, mT = 5x + 3, and mU = 2x + 15. Which inequality shows the relationship between the lengths of the sides of the triangle?
    A. TU > SU > ST B. TU > ST >SU
    C. TS > SU > TU D. TS > TU > SU
    Hint

  20.   If and form a linear pair and m = 72, find m.
   
    A. 18 B. 72
    C. 108 D. 144
    Hint



Glencoe
The McGraw-Hill Companies