Question

1. when triangle abc is reflected across line ab, the image is triangle abd. why is angle acd congruent to angle adb? a. corresponding parts of congruent figures are congruent. b. congruent parts of congruent figures are corresponding. c. segment ab is a perpendicular bisector of segment dc. d. an isosceles triangle has a pair of congruent angles. 8. line de is parallel to line bc. a. what is the measure of angle eac? b. what is the measure of angle dab?

Explanation:

Step1: Analyze the reflection property

When triangle \(ABC\) is reflected across line \(AB\) to get triangle \(ABD\), then \(\triangle ABC\cong\triangle ABD\) (by the definition of reflection, which is a rigid - motion transformation).

Step2: Use the property of congruent triangles

For congruent triangles \(\triangle ABC\) and \(\triangle ABD\), corresponding parts are congruent. That is, if two figures are congruent, then their corresponding angles and sides are congruent. In this case, \(\angle ACD\) and \(\angle ADB\) are corresponding parts of congruent triangles \(\triangle ABC\) and \(\triangle ABD\)

Answer:

A. Corresponding parts of congruent figures are congruent.