1- The coordinate of J(-3,-6)
Since it's a dilatation, the original J coordinates are 2/3 of the dilated one or
the dilated point will be 3/2 greater than the original:
J' [-3(3/2), -6(3/2)] = J' (-9/2 , -9)
2-JKM is a right triangle because the hypotenuse KM = 15.3.
PROOF: Applying Pythagoras:
KM² = 8²+13² , KM² =233; KM =√233 = 15.3
3- As per the figure MB=MA=88 cm . So we can calculate MB = 2X88 = 176 Moreover triangles BAC and BMN are similar, then we can write:
BM/BA = MN/AC or 88/176 = MN/116 AND MN = 58 cm
Second method (quicker): M is the middle of BA, and N, the middle of BC:
In a triangle, the line joining the mid points of 2 sides is parallel to the 3rd side and equal half of this side: Hence 116/2 = 58
