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

Area of shape C: The shape is a rectangle with base 2 units and height 2 units. Thus, the area is calculated as follows:

$Area_{C} = base \times height = 2 \times 2 = 4 \text{ units}^2$

Area of shape D: The shape is a triangle with base 3 units and height 2 units. Thus, the area is calculated as follows:

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

The perimeter of shape E can be determined by adding the lengths of its sides. Assuming the sides are measured as 3 units, 5 units, 3 units, and 5 units respectively, then:

$Perimeter_{E} = 3 + 5 + 3 + 5 = 16 \text{ units}$

4 axes of symmetry.

Shape D.

Shape B.

The slope of the hypotenuse can be determined by examining two points of the line segment. Taking points (2, 4) and (5, 1):

$Slope = \frac{rise}{run} = \frac{1 - 4}{5 - 2} = \frac{-3}{3} = -1$