Question

4)
can the triangles be proven congruent?
yes no
reason for congruence:
sss sas asa aas hl aaa ass
congruence statement: $\triangle abc\cong\triangle$ ________

Explanation:

Step1: Identify congruent parts

From the figure, we can see that \(BC = DC\) (marked with two - line segments), \(\angle BCA=\angle DCA\) (marked with arcs), and \(AC = AC\) (common side).

Step2: Apply congruence criterion

Since we have two sides and the included angle equal, we use the SAS (Side - Angle - Side) congruence criterion.

Step3: Write congruence statement

By SAS, \(\triangle ABC\cong\triangle ADC\)

Answer:

YES, SAS, \(\triangle ADC\)