The figures ABCD and EFGH are congruent.
When two figures are congruent, by the rule of CPCTC, the corresponding parts of congruent figures are congruent, the corresponding sides and the angles should be equal.
This can also be applied conversely, that if the sides of a figure is equal then the figure is congruent.
The two figures are shown in the figure, ABCD and EFGH.
The coordinates of A is ( -1,1)
The coordinates of B is ( -3,2)
The coordinates of C is (-4,4)
The coordinates of D is ( 0,5)
The coordinates of E is (1,1)
The coordinates of F is (3,0)
The coordinates of G is ( 4,-2)
The coordinates of H is (0,-3)
If the figures are congruent, the distance between the sides of the figure has to be determined.
The distance between the sides is AB = EF = 2.23
BC = FG = 2.23
CD = GH = 4.12
DA = HE = 4.12
As the sides are equal, both the figures ABCD and EFGH are congruent.
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