Given that triangle PHT is a right triangle and Line HY is an altitude, what is the missing justification in the proof that (PH)^2 + (HT)^2 = (PT)^2?
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Answer:
The correct option is D.
Step-by-step explanation:
Given information: Triangle PHT is a right triangle and Line HY is an altitude.
According to the reflexive property, a side or an angle is congruent to itself.
If A is an angle of a triangle then using reflexive property
[tex]\angle A\cong \angle A[/tex]
[tex]\angle PHT\cong \angle HYT[/tex] (Both are right angles)
[tex]\angle T\cong \angle T[/tex] (Reflexive property)
[tex]\triangle PHT\sim \triangle HYT[/tex] (AA rule of similarity)
Other statements and reasons are present in the table.
The missing reason is reflexive property. Therefore the correct option is D.