About This Set
These questions are a step up, closer to Tier 2, and most need two steps or a careful figure: bisectors at a bend, two polygons tied together by two ratios, a congruence hidden inside a square, the circumradius of an obtuse triangle, a parallel line that halves an area, a cyclic quadrilateral with its sides produced. Items marked [Tier 2] use results that Tier 2 tests more than Tier 1, such as Apollonius' theorem, the Euler line and ; if you are preparing only for Tier 1 you can leave them for later. Allow about 35 minutes and finish the set before you look at the explanations. If you get 18 or more right, you can handle this chapter at exam level.