Question

which of the following relationships proves why △adc and △bcd are congruent? hl aa asa sas

Explanation:

Step1: Identify right - angled triangles

In \(\triangle ADC\) and \(\triangle BCD\), \(\angle ADC=\angle BCD = 90^{\circ}\), \(DC\) is common side, and \(AD = BC\) (assumed from the congruence condition context).

Step2: Apply congruence criterion

The Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, the two triangles are congruent. Here, \(DC\) is the common leg and we can consider the other equal sides as the relevant parts for HL.

Answer:

HL