Question

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

Explanation:

When a figure is reflected, the original figure and its image are congruent. In this case, triangle \(ABC\) and triangle \(ABD\) are congruent. For congruent figures, their corresponding parts (sides and angles) are congruent. Segment \(AD\) in triangle \(ABD\) corresponds to segment \(AC\) in triangle \(ABC\).

Answer:

b. Corresponding parts of congruent figures are congruent.