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Proof of JM is congruent to ML is given.
When two figures or objects in geometry have the same forms, sizes, or are mirror images of one another, they are said to be congruent.
Given, JK is congruent to KL and JMK is right angle.
That means,
∠JMK + ∠LMK = 180°
∠LMK = 180° - ∠JMK
∠LMK = 180° - 90°
∠LMK = 90°
And in the ΔJKM and ΔLKM,
JK≅KL
And KM is shared side.
So, from reflexive property;
KM≅MK
And ∠JMK = ∠LMK.
So from the SSA axiom,
ΔJKM ≅ ΔLKM
Then, JM ≅ ML
Therefore, JM is congruent to LM.
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