Question

Please help with my geomtry homework

Answer 1

Answer:

Therefore, HL theorem we will prove for Triangles Congruent.

Step-by-step explanation:

Given:

Label the Figure first, Such that

Angle ADB = 90 degrees,  

angle ADC = 90 degrees, and

AB ≅ AC

To Prove:

ΔABD ≅ ΔACD    by   Hypotenuse Leg theorem

Proof:

In  Δ ABD and Δ ACD

AB ≅ AC     ……….{Hypotenuse are equal Given}

∠ADB ≅ ∠ADC     ……….{Each angle measure is 90° given}

AD ≅ AD     ……….{Reflexive Property or Common side}

Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved

Therefore, HL theorem we will prove for Triangles Congruent.