Show that each statement is false by providing a counterexample. (a) If the length of AC is 46 and point B lies on AC, then A B = 34 and
BC = 12.
Counterexample:
AB = BC = 0
(b) If the perimeter of a rectangle is 32, then the length is 8 and the
width is 8.
Counterexample:
length
width
(c) If _ 1 and 2 are complementary angles, then one of them must have
a measure less than 45.
Counterexample:
m1 =
1 m 2 =
(d) If the measures of R, S, and I sum to 180 , then one of the
angles must be obtuse.
Counterexample:
m z R = 0°, m 2 S = O", m
°, m_T =
Х