The coordinates of a point, or points (ABCD) following a dilation about the origin is given by the product of the point and the scale factor of dilation
The description, vertices of the figure, and the new vertices are;
- 1. The figure is a trapezium
- 2. The vertices are; A(2, 1), B(2, 4), C(3, 4), D(6, 1)
- 3. The new vertices are; (4, 2), (4, 8), (6, 8), and (12, 2)
Reason:
1. The quadrilateral is a trapezium
2. The vertices of the quadrilateral are given by the coordinates of the points A, B, C, and D, in the figure, which are;
A(2, 1), B(2, 4), C(3, 4), D(6, 1)
3. Dilating the quadrilateral by a scale factor of two about the origin gives;
Coordinates of A' = (2×2, 2 × 1) = (4, 2)
Coordinates of B' = (2×2, 2 × 4) = (4, 8)
Coordinates of C' = (2×3, 2 × 4) = (6, 8)
Coordinates of D' = (2×6, 2 × 1) = (12, 2)
The new coordinates of the vertices of the quadrilateral following a dilation by a scale factor of two are; (4, 2), (4, 8), (6, 8), and (12, 2)
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