26 P4.AN.JM.17092866
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m
Rectangle Angles sum of triangle Overlapping angles
27 P4.AN.JM.17092861
Level 3
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
  1. Name the line that is parallel with JP.
  2. Find ∠RJP.
  3. Find ∠JRQ.
4 m
Square Exterior angle of a triangle Overlapping angles
28 P4.AN.JM.17092858
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
  1. Name the line that is perpendicular to FC.
  2. Find ∠BCH.
  3. Find ∠HKC.
4 m
Square Rectangle Angles sum of triangle Overlapping angles
29 P4.AN.JM.17092872
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Square Angles sum of triangle Overlapping angles Model Comparison Model Times-as-many Units method
30 P4.AP.NK.23050843
Level 3
The area of a rectangular sheet of paper ABCD is 108 cm2. It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.
  1. Find the length of CD.
  2. Find the perimeter of the unshaded part AEBCD.
3 m
Rectangle Triangle Overlapping area Folded figure

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