(a) If the area of a rectangle is 100, then the length is 25 and the width is 4.
Counterexample: length =
width =
(b) If the measures of ZP, Q, and ZR sum to 180°, then all of the angles must
be acute.
Counterexample: m < P = m 2 Q = m2 R =
(c) If the length of XZ is 32 and point Y lies on XZ, then XY = 16 and YZ = 16.
Counterexample: XY = 0 YZ =
(d) If 1 and 2 are complementary angles, then one of them must have a
measure greater than 45°.
Counterexample: m1 = 0, m ² 2 = 0°