Mathematics
Grade9
Easy

Question

What is the relation between 1 and 2 if AD = CD?

  1. 1 > 2
  2. 1 < 2
  3. 1 = 2
  4. 1 = 1 half 2

hintHint:

The two triangles are congruent by RHS congruence criterion

The correct answer is: 1 = 2


    From figures, in ΔABD and ΔBCD,
    BAD = BCD = 90°
    AQ = CD  (given)
    BD = BD (common side)
    ΔABD ΔCBD (RHS congruence criterion)
    1 = 2 (Corresponding parts of congruent triangles)

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