Question

Please help
with my geomtry homework

Answer 1

Therefore, HL theorem we will prove for Triangles Congruent.

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.