Question

Complete the proof by providing the missing statement and reasons.

Answer 1

2. Definition of perpendicular lines

3. Given

4. SD and DS are congruent

5. HL theorem

Answer 2

Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement

It is given that $\overline{SD}\perp \overline{HT}$; $\overline{SH}\cong\overline{ST}$

Prove $\triangle SHD=\triangle STD$

Statement Reason

1. $\overline{SD}\perp \overline{HT}$                                 1. Given

2. ∠SDH and ∠SDT are right ∠S            2. Definition of $\perp$ line

3. $\overline{SH}\cong\overline{ST}$                                 3. Given

4. $\overline{SD}\cong\overline{SD}$                                 4. Reflexive property

5. $\triangle SHD=\triangle STD$                               5. HL theorem

Hence, the required prove is shown above.