Answer to Question #192258 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).

3.1 Reflect the object vertically in the x axis. Write down the coordinate points of the vertically reflected image. Describe the symmetry that resulted from the horizontal reflection. Is the image isometric to the object?                                      

Answer 1

As  A (-5, -1), B (-1, -2), C (-2, -5) , D (-6, -4) are coordinates of quadrilateral ABCD . Reflection image of ABCD about x-axis is A'B'C'D' where  A' (-5, 1), B' (-1, 2), C' (-2, 5) , D' (-6, 4)

A'B'C'D' has reflection symmetry of ABCD about x-axis which act as mirror line on line symmetry.

yes, image A'B'C'D' is isometric to object ABCD.