1.   Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle.
    A. If three points do not form a triangle, then they are noncollinear.
    B. If three points form a triangle, then they are noncollinear.
    C. If three points are not noncollinear, then they do not form a triangle.
    D. If three points do not form a triangle, then they are not noncollinear.
    Hint

  2.   In the figure, points A and B are on circle C and
Write the contra positive of the true conditional.

Conditional 1: If then is a right isosceles triangle.
Conditional 2: If then divides the circle into two equal halves.
   
    A. If is not a right isosceles triangle, then
    B. If is a right isosceles triangle, then
    C. If does not divide the circle into two equal halves, then
    D. If then does not divide the circle into two equal halves.
    Hint

  3.   In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part.
    A. converse, negation B. hypothesis, converse
    C. inverse, negation D. converse, inverse
    Hint

  4.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There are two lines containing both points.
    B. There are an infinite number of lines containing both points.
    C. There are no lines containing both points.
    D. There is one line containing both points.
    Hint

  5.   Write the contrapositive of the statement a right angle measures 90 degrees.
    A. If an angle measures 90 degrees, then it is a right angle.
    B. If an angle does not measure 90 degrees, then it is not a right angle.
    C. If an angle is not a right angle, then its measure is not 90 degrees.
    D. If an angle is a right angle, then it measures 90 degrees.
    Hint



Glencoe
The McGraw-Hill Companies