A right triangle has vertices P(2,3), Q(5,3) and R(2,7).
a. (i) Plot △PQR on the Cartesian plane and name the right angle.
b. (ii) Reflect each vertex of the triangle in the y-axis to obtain the images P′, Q′ and R′. Write the coordinates of P′, Q′ and R′.
c. (iii) Draw △P′Q′R′ and shade the combined figure △PQR∪△P′Q′R′.
d. (iv) Show that the combined figure is symmetrical about the y-axis, citing coordinate pairs to support your explanation.
e. (v) Find the total area of the shaded figure.