P1 process to solve, e.g. (3y 5)(y + 5) = 0 or (x 9)(x + 11) = 0 – – P1 selection of = 5/3 or = 9 as only solution, and subs to find other variable y x A1 (width) = (cm) and (length) = 9 (cm) y x 22 proof C1 if is the height of and is the height of then since the areas YG AYB XH AXB YG=XH are the same C1 = (opposite angles) identifies heights (=h) and (=H) XMH GMY XH GY or = (both 90°) XHM YGM C1 conclusion that triangles association of sin = and sin = MHX x h/XM x H/YM and are congruent YGM C1 conclusion and statement that = XM MY
P1 process to solve, e.g. (3y – 5)(y + 5) = 0 or (x – 9)(x + 11) = 0 P1 selection of y = 5/3 or x = 9 as only solution, and subs to find other variable A1 y (width) = (cm) and x (length) = 9 (cm) 22 proof C1 if YG is the height of AYB and XH is the height of AXB then YG=XH since the areas are the same C1 XMH = GMY (opposite angles) or XHM = YGM (both 90°) identifies heights XH (=h) and GY (=H) C1 conclusion that triangles MHX and YGM are congruent association of sin x = h/XM and sin x = H/YM C1 conclusion and statement that XM = MY