To identify the four congruent triangles formed when dividing a square (JKLM) in half, we'll assume that the square is being divided either by a diagonal or a line through the midpoints of the sides.
When divided through the diagonal (e.g., from point J to point L), the resulting triangles would be:
- △JLM
- △JMK
- △LMK
- △KJL
However, if we strictly follow your response options, none of the options listed seems to directly correspond to valid triangles produced from a square division (assuming O is a point within the square).
For example, if we consider △MJO or △LMO, both involve O which must be defined and located correctly, but the terminology used does not reflect typical triangulation based directly from the quadilateral structure.
To clarify further:
- The triangles you would commonly encounter from the division of squares and their respective reflections are determined through symmetry and equal segments. Consequently, let's go back to the congruence under recognized conditions.
If we interpret your response options correctly, and if O represents the center of the square, the list should represent triangles formed along with O as part of the setup.
Taking that into consideration, valid congruent triangles that could arise might be:
- △MJO
- △KJO
- △LMO
- △LKO
For clarity, if you mean congruent by typical quadrilateral division, they would reflect mirror properties through points of intersection.
Please confirm or clarify the context of O, or if further simplifications or geometric properties are to be noted.
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