Display your drawing skills. Outline and colour the following shapes. a. A pentagon with parallel lines, Clearly mark th lines using the signifying two pairs of colour it Yellow. ir of parallel rrect sign rallel lines. b. A hexagon with three pairs of sides.
The Correct Answer and Explanation is:
Explanation
The provided answer completes the task outlined in question ‘b’ of the worksheet, which requires drawing a hexagon with three pairs of parallel sides on the given geometric grid.
A hexagon is a polygon with six sides and six vertices. The specific requirement for this task is that the hexagon must have three pairs of parallel sides. A regular hexagon, where all sides are of equal length and all interior angles are equal, is the most common example of a shape that perfectly fulfills this condition. The grid, constructed from squares and their diagonals, provides the ideal framework for tracing such a shape.
To construct the hexagon, a central point on the left side of the grid was chosen as a reference. The six vertices of the hexagon were then identified as the six points immediately surrounding this central point on the grid. Connecting these vertices in order creates a regular hexagon. This shape inherently possesses the required geometric properties.
The three pairs of parallel sides are clearly marked using standard geometric notation. The first pair, consisting of the horizontal top and bottom sides, is marked with a single arrow on each line. The second pair, which includes the upper left and lower right diagonal sides, is marked with double arrows. Finally, the third pair, comprising the lower left and upper right diagonal sides, is identified with triple arrows. This system of using a different number of arrows for each pair ensures there is no ambiguity in identifying which sides are parallel to each other.
The hexagon is colored yellow, following the instruction found in the text for the first question. This completes all the requirements for question ‘b, successfully displaying the drawing and geometric identification skills requested.
