Answer to Question #193206 in Geometry for Jaco Visagie

Question

On a coordinate plane, sketch a quadrilateral object by plotting and connecting coordinate points A (-5, -1); B (-1, -2); C (-2, -5) and D (-6, -4).

3.2  Connect B to the origin and rotate the object about the origin in quadrant II, I and IV. Write down the coordinate points of the images. Discuss whether there is symmetry in the final four shapes. Decide whether the images are isometric to the object.                       

Answer 1

Solution.

The coordinate points of the image in quadrant II are: (-5,1),(-1,2),(-2,5),(-6,4).

The coordinate points of the image in quadrant I are: (5,1),(1,2),(2,5),(6,4).

The coordinate points of the image in quadrant IV are: (5,-1),(1,-2),(2,-5),(6,-4).

The final four shapes are symmetry and isometric to the object.