The given statements to be completed are completed as follows;
A) △MNK ≅ △RTP
B) TR ≅ NM
C) x = 7
We are given that;
△NMK ≅ △TRP
This means that Triangle NMK is congruent to Triangle TRP.
A) The naming of △NMK is now △MNK. Thus, we have to now re-name Triangle TRP to match the naming of △MNK. Thus;
△MNK ≅ △RTP
B) From the 2 given triangles, we can see that TR and NM are the same length and also perpendicular lines.
Thus they are congruent to each other and as such;
TR ≅ NM
C) Since TR and NM are congruent to each other. Then;
TR = NM
Thus;
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21/3
x = 7
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