Seven shapes are shown on the co-ordinate diagram below - Junior Cycle Mathematics - Question 7 - 2018

The area of shape C, which is a rectangle, can be calculated using the formula:

$\text{Area} = \text{length} \times \text{width} = 2 \times 2 = 4 \text{ units}^2$

The area of shape D, which is a triangle, can be calculated using the formula:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 3 \times 2 = 3 \text{ units}^2$

To find the perimeter of shape E, we need to sum the lengths of all its sides. Assuming shape E is a rectangle with length 3 and width 4, the perimeter P can be calculated as:

$P = 2 \times (\text{length} + \text{width}) = 2 \times (3 + 4) = 14 \text{ units}$

Shape C has exactly 4 axes of symmetry.

Shape G is the image of shape F under axial symmetry.

Shape A is the image of shape B under a translation.

To find the slope of the hypotenuse of shape B, we can use the formula for slope:

$m = \frac{\text{rise}}{\text{run}} = \frac{3}{2} = 1.5$