Describe positions on the full coordinate grid 5 - Reasoning

In a geometry lesson focused on position and direction, students are tasked with reasoning about the coordinates of points on a symmetrical pentagon. The pentagon in question is symmetrically aligned along a vertical axis that passes through the coordinate point (1, 6). Students are asked to determine if it is possible to find the coordinates of two missing points, labelled C and D, using the given information about the shape's symmetry.

The answer to the posed question is affirmative; the coordinates of points C and D can indeed be deduced from the symmetry of the pentagon. By understanding that a symmetrical pentagon will have corresponding points equidistant from the axis of symmetry, the coordinates for point C are found to be (-4, 2). Similarly, for point D, the coordinates are established as (4, -4). This exercise requires students to apply their knowledge of symmetry and coordinate grids to identify the positions of points on a two-dimensional plane, enhancing their understanding of geometric concepts and spatial reasoning.