Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

quadrilateral lmno is reflected over the line as shown, resulting in qu…

Question

quadrilateral lmno is reflected over the line as shown, resulting in quadrilateral cdab. given the congruency statement lmno ≅ cdab, which segment corresponds to (overline{ml})? (overline{ab}) (overline{ad}) (overline{cb}) (overline{dc})

Explanation:

Brief Explanations

When two congruent quadrilaterals \(LMNO\cong CDAB\), the order of the letters in the congruency statement gives the correspondence. In \(LMNO\), the segment \(\overline{ML}\) has endpoints \(M\) and \(L\). Looking at \(CDAB\), the corresponding vertices to \(M\) and \(L\) are \(C\) and \(B\) respectively (since \(L\) corresponds to \(C\) and \(M\) corresponds to \(B\) based on the order \(LMNO\cong CDAB\)). So the segment \(\overline{CB}\) corresponds to \(\overline{ML}\).

Answer:

\(\overline{CB}\) (the third option).