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notsponge [240]
3 years ago
9

Please answer quickly, more might be coming soon. 50 Points!

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Answer:

2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.

3) \bar{SH}\cong \bar{ST} as it is given in the question.

4) \bar{SD}\cong \bar{SD}  is the reflexive property.

5) ΔSHD ≅ ΔSTD by RHS congruency.

Step-by-step explanation:

Given in the question:

\bar{SH}\cong \bar{ST}\\\bar{SD}\perp \bar{HT}

In ΔSHD and ΔSTD

\bar{SH}\cong \bar{ST}   (Given)

\angle SDH\cong \angle SDT=90^o    (SD ⊥ HT)

\bar{SD}\cong \bar{SD} (Common)

Therefore, \Delta SHD\cong \Delta STD   (By RHS rule)

Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is \bar{SD}\cong \bar{SD}

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