Write down the co-ordinates of the vertices (i.e - Junior Cycle Mathematics - Question 7 - 2018

The area of shape C can be calculated using the formula for the area of a triangle.

For Shape C: Area = ( \frac{1}{2} \times b \times h = \frac{1}{2} \times 2 \times 2 = 2 , \text{units}^2 )

For Shape D: Area = ( b \times h = 3 \times 2 = 6 , \text{units}^2 )

The perimeter of shape E is the sum of the lengths of all its sides.

Let’s assume the lengths of the sides as follows: 2 + 2 + 3 + 3 + 2 = ( 12 , \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 D under a translation.

To find the slope of the hypotenuse, we can use the formula: ( \text{slope} = \frac{\text{rise}}{\text{run}} ). Assuming the specific rise and run values: rise = 4 - 2 = 2 and run = 5 - 2 = 3, we find ( \text{slope} = \frac{2}{3} ).