Question

when triangle abc is reflected across line ab, the image is triangle abd. why are segment ac and segment ad congruent? congruent parts of congruent figures are corresponding corresponding parts of congruent figures are congruent. an isosceles triangle has a pair of congruent sides. segment ab is a perpendicular bisector of segment dc.

Explanation:

When triangle ABC is reflected across line AB to get triangle ABD, the two triangles are congruent. AC and AD are corresponding parts of these congruent triangles. By the principle that corresponding parts of congruent figures are congruent, AC and AD are congruent.

Answer:

Corresponding parts of congruent figures are congruent.