Which of the following statements would you prove by the indirect method?
a) In triangle
b) If alternate exterior
c) If
d) If two sides of a triangle are congruent, the two angles opposite these sides are also congruent.
e) The perpendicular bisector of a line segment is unique.
(a)
Whether the statement, “In triangle
Approach:
1. Suppose that
2. Reason from the supposition until you reach a contradiction.
3. Note that the supposition claiming that
Step 3 completes the proof.
Calculation:
Consider the given statement, “In triangle
(b)
Whether the statement, “If alternate exterior
(c)
Whether the statement, “If
(d)
Whether the statement, “If two sides of a triangle are congruent, the two angles opposite these sides are also congruent.” can be proved by the indirect method.
(e)
Whether the statement, “The perpendicular bisector of a line segment is unique” can be proved by the indirect method”.
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