7) The transformation is a dilation by a scale factor of 1.5.
8) The transformation here is; Rotation 180° about the origin.
How to carry out transformations?
7) We are told that ABCG is transformed to KHIJ.
Coordinates of ABCG are;
A(-2, -3), B(0, 5), C(6, 0), G(1, -3)
Now, coordinates of KHIJ are;
K(-3, -4.5), H(0, 7.5), I(9, 0), J(1.5, -4.5)
Now, from the transformed shape, we see that its' coordinates are 1.5 times that of the original shape coordinates. Thus, we can say that the transformation is a dilation by a scale factor of 1.5.
8) We are told that ABC is transformed to KLJ.
Coordinates of ABC are;
A(-9, 8), B(-4, 7), C(-7, 1)
Now, coordinates of KLJ are;
K(9, -8), L(4, -7), J(7, -1)
It is clear that the transformation here is;
(x, y) → (-x, -y)
From transformation rules, we can say that the transformation here is;
Rotation 180° about the origin.
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