By the angle, side, and angle theorem they are congruent. Then the correct option is A.
What is the triangle?
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The figure shows models of a roof truss. Based on the markings, there is enough information to prove that ΔACD ≅ ΔBCD
The angle D is 90 degrees and CD is the common side in both the triangle.
Thus, by the angle, side, and angle theorem they are congruent.
More about the triangle link is given below.
https://brainly.com/question/25813512