As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif
t.
We can also show that triangles GHI and G''H''I'' are congruent directly, by using the translation
A) (x, y) → (x + 3, y - 4).
B) (x, y) → (x - 3, y + 1).
C) (x, y) → (x + 2, y + 2).
D) (x, y) → (x + 4, y - 5).
We can also show that triangles GHI and G''H''I'' are congruent directly, by using the translation
A) (x, y) → (x + 3, y - 4).
B) (x, y) → (x - 3, y + 1).
C) (x, y) → (x + 2, y + 2).
D) (x, y) → (x + 4, y - 5).
1 answer:
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Step-by-step explanation:
In trapezoid ABCF, AB || CF.
Therefore, parallelograms ABEF & ABCD have same height and lie on the same base AB.
From equations (1), (2) & (3), we find:
Thus, the two triangular pieces of land are equal in area.
Hence proved.