Given that LMKF is a rhombus. Select 2 options that are true.

(2 points)
Responses

Line segments MK¯¯¯¯¯¯¯¯¯¯ and KA¯¯¯¯¯¯¯¯ are congruent because LA¯¯¯¯¯¯¯ biscects MF¯¯¯¯¯¯¯¯¯.
Line segments MK¯¯¯¯¯¯¯¯¯¯ and KA¯¯¯¯¯¯¯¯ are congruent because line segment cap l cap A biscects line segment cap m cap f.

Line segments MA¯¯¯¯¯¯¯¯¯ and FA¯¯¯¯¯¯¯¯ are congruent because LK¯¯¯¯¯¯¯¯ biscects MF¯¯¯¯¯¯¯¯¯.
Line segments MA¯¯¯¯¯¯¯¯¯ and FA¯¯¯¯¯¯¯¯ are congruent because line segment cap l cap k biscects line segment cap m cap f.

Line segments LM¯¯¯¯¯¯¯¯¯, MK¯¯¯¯¯¯¯¯¯¯, KF¯¯¯¯¯¯¯¯ and FL¯¯¯¯¯¯¯ are congruent because all four sides in a rhombus are congruent.

1 answer

In a rhombus, the properties include that all sides are congruent and the diagonals bisect each other at right angles.

Given the options, the two true statements are:

  1. Line segments LM¯¯¯¯¯¯¯¯¯, MK¯¯¯¯¯¯¯¯¯¯, KF¯¯¯¯¯¯¯¯ and FL¯¯¯¯¯¯¯ are congruent because all four sides in a rhombus are congruent.

  2. Line segments MK¯¯¯¯¯¯¯¯¯¯ and KA¯¯¯¯¯¯¯¯ are congruent because line segment LA bisects line segment MF.

(Note: The reasoning regarding the congruence of MK and KA is based on the properties of a rhombus and may depend on additional context about how KA and MK are related through LA and MF. The two responses highlighted reflect the properties of rhombuses directly.)