Question

Quadrilateral L M N O is reflected over a line to form quadrilateral C D A B.

Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the congruency statement LMNO ≅ CDAB, which segment corresponds to ML?

AB
AD
CB
DC

Answer 1

The segment corresponding to the segment ML, based on the congruence statement is the segment DC. The correct option therefore is the fourth option

DC

The steps to obtain the segment congruent to the segment ML are presented as follows;

The quadrilateral resulting from the reflection of the quadrilateral LMNO over the line is the quadrilateral CDAB

The congruence statement is; LMNO ≅ CDAB

The order of the letters in the congruence statement indicates that the corresponding congruent segments in the quadrilaterals are;

`\overline{ML}` ≅
`\overline{DC}`

`\overline{NM}` ≅
`\overline{AD}`

`\overline{ON}` ≅
`\overline{BA}`

`\overline{OL}` ≅
`\overline{BC}`

The above congruence statement indicates that the segment corresponding to the segment ML is the segment DC