Q:

The figure shows square KLMN. Which of the following conditions satisfy the criteria for squares?Square KLMN with diagonals LN and KM segment LK is congruent to segment LN segment LM is parallel to segment LK segment LM is parallel to segment LK segment LM is parallel to segment KN

Accepted Solution

A:
Answer: First option: Square[tex]KLMN[/tex] with diagonals [tex]LN[/tex] and [tex]KM[/tex]. Fifth option: Segment [tex]LM[/tex]is parallel to segment [tex]KN[/tex].Step-by-step explanation: We know that a square is quadriteral whose sides are equal. By definition, a square has the following properties: 1) Its four sides are congruent. 2) The diagonals are congruent. 3) The angles formed by the intersection of the diagonals measure 90 degrees. 4) The opposite sides are parallel. 5) Each internal angle measures 90 degrees. Notice in the figure that: The diagonals of the square  [tex]KLMN[/tex] are: [tex]LN[/tex] and [tex]KM[/tex].[tex]LM[/tex] and [tex]KN[/tex] are opposite sides, therefore, they are parallel.