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?

Given that triangle PHT is a right triangle and Line HY is an altitude what is the missing justification in the proof that PH2 HT2 PT2 class=
Given that triangle PHT is a right triangle and Line HY is an altitude what is the missing justification in the proof that PH2 HT2 PT2 class=

Respuesta :

Answer: the answer is D

Step-by-step explanation:

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.