Problems adapted from questions set for previous Mathematics exams.
Prove that triangle ABC is congruent to triangle CDA if ABCD is a parallelogram.
The design below is made from six congruent trapezia and two red triangles.
Each trapezium has one line of symmetry.
The following statements were made about the red triangles:
(a) Which statements must be true?
(b) Which statements could be true?
(c) Which statements must be false?
ABCD is a parallelogram with diagonals meeting at E. Prove that triangle ABE is congruent to triangle CDE.
ABC is an isosceles triangle in which AB = AC.
AD = AE.
Prove that triangle ABD is congruent to triangle ACE.
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