Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
4 m
Level 3 PSLE
In the figure, XYZ is a triangle. P, R and S are points on the triangle such that XP = XR and SZ = PZ. If ∠XPR = 104°and ∠SPZ = 123°, find ∠RYS.
4 m
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Level 3
A rectangular piece of paper was folded as shown.
  1. Find ∠a.
  2. Find ∠b.
4 m