Question

l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that △ABC≅△CDA

Answer 1

To show that △ABC is congruent to △CDA, we can use the angle-side-angle (ASA) congruence criterion.

Step-by-step explanation:

To show that △ABC is congruent to △CDA, we can use the property that if two pairs of corresponding angles are congruent and the included sides are congruent, then the triangles are congruent.

In this case, we can see that angle BCA is congruent to angle ACD because they are alternate interior angles formed by the transversal lines l and m. Additionally, we can see that side AC is congruent to side CA because they are the same line segment. Therefore, by the angle-side-angle (ASA) congruence criterion, we can conclude that △ABC is congruent to △CDA.