Question

4
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why are triangles adc and adb congruent?

triangle adc is congruent to triangle adb because reflecting triangle adc maps it onto triangle adb

Explanation:

When we reflect a figure across a line, the line is the perpendicular bisector of the segments joining corresponding points. In this case, line segment \(AD\) is the common side of \(\triangle ADC\) and \(\triangle ADB\). If we reflect \(\triangle ADC\) across line segment \(AD\), point \(C\) will map to point \(B\) (since \(CD = BD\) as indicated by the equal - length marks on \(CD\) and \(BD\)), and point \(A\) and \(D\) remain in place. A reflection is a type of transformation that preserves the shape and size of a figure (i.e., it is a congruence transformation).

Answer:

reflecting, across line segment \(AD\)