Question

7 given: ∠n≅∠s, line l bisects tr at q. prove: △nqt≅△sqr. which statement belongs in step 4? statements reasons 1. ∠n≅∠s 1. given 2. ∠nqt≅∠sqr 2. vertical angles are congruent. 3. l bisects tr at q 3. given 4.? 4. definition of segment bisector. 5. △nqt≅△sqr 5. aas theorem ∠nqt≅∠sqr nq≅qs tq≅qr ∠t≅∠r

Explanation:

Step1: Recall segment - bisector definition

A segment bisector divides a segment into two congruent segments.

Step2: Identify the bisected segment

Line \(l\) bisects \(\overline{TR}\) at \(Q\).

Step3: Determine the congruent segments

By the definition of a segment bisector, \(\overline{TQ}\cong\overline{QR}\).

Answer:

\(\overline{TQ}\cong\overline{QR}\)