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3 years ago

Complete the proof by providing the missing statement and reasons.

Mathematics

2 answers:

seraphim [82]3 years ago

6 0

2. Definition of perpendicular lines

3. Given

4. SD and DS are congruent

5. HL theorem

Mashutka [201]3 years ago

4 0

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.

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