Question

Given MK is perpendicular to MJ and MJ is perpendicular to MK and MN is congruent to KJ prove MJN equals JMK

Answer 1

m∠KNJ is perpendicular as well as m∠MJN, so m∠KNJ ≅ m∠MJN

MN is congruent to KJ, MN ≅ KJ

And MJ is congruent to JM by the reflexive property

Then ΔMJN is congruent to ΔJMK by SAS congruence

1) Considering that we can sketch it:

0. m∠KNJ is perpendicular as well as m∠MJN, so m∠KNJ ≅ m∠MJN

,

1. MN is congruent to KJ, MN ≅ KJ

,

2. And MJ is congruent to JM by the reflexive property

,

3. Then ΔMJN is congruent to ΔJMK by ,SAS congruence

2) Hence, there are two congruent triangles by Side Ange Side

congruence.

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