A conjecture and the paragraph proof used to prove the conjecture are shown. Given: RSTU is a parallelogram
<1 and 3 are complementary
Prove: 2 and 23 are complementary
Drag an expression or phrase to each box to complete the proof
It is given that RSTU is a parallelogram, s0 RU ST by the definition of parallelogram. Therefore, 4922 by the alterate
antener angles theorem and mA =m_2 by the
It is also given that A and 23 are
complementary, so mA +m_3 = 90° by the
By substitution, m_2+
1 = 90
and so _2 and
are complementary by the definition of complementary