If ABCDE is translated 2 units to the right and 4 units up, what will happen to the polygon?
2 answers:
Answer:
Translated Horizontally Right by x units to any Polygon = +x is added to abscissae of each of the vertices of Polygon
Translated Horizontally Left by x units to any Polygon = -x is Subtracted from abscissae of each of the vertices of Polygon
Translated Vertically up by y units to any Polygon = +y is added to Ordinate of each of the vertices of Polygon.
Translated Vertically down by y units to any Polygon = -y is Subtracted from ordinate of each of the vertices of Polygon.
⇒Translation of vertices of Polygon ABCDE , 2 units to the right and 4 units up will take the vertices of Polygon , if vertices of polygon is represented by A(a,b),B(p,q),C(r,s),D(m,n),E(s,t)
=Add 2, to each of the abscissae of Polygon ABCDE , and Add 4 to each of the Ordinate of Polygon ABCDE
=Means each of the vertices of Polygon is shifted 2 units horizontally right and 4 unit Vertically up.
A'(a+2,b+4),B'(p+2,q+4),C'(r+2,s+4),D'(m+2,n+4),E'(s+2,t+4)
→The two Polygon , that is Preimage polygon ABCDE and Image Polygon A'B'C'D'E' will be congruent.
Explained by taking an Example,
Image is Depicted below.
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