Maths-
General
Easy

Question

Write a congruence statement for the triangles. Identify all pairs of congruent corresponding
parts.

hintHint:

 show congruence of triangles and find the corresponding sides .
MN = XZ; NL= ZY ;LM = YX (Corresponding sides of congruent triangles)
∠M = ∠X;∠L = ∠Y ; ∠N = ∠Z (Corresponding angles of congruent triangles)

The correct answer is: ΔMLN ≅ ΔXYZ ; MN = XZ; NL= ZY ;LM = YX (Corresponding sides of congruent triangles) ∠M = ∠X;∠L = ∠Y ; ∠N = ∠Z (Corresponding angles of congruent triangles)


    In ΔABC and ΔXYZ,
    MN = XZ (From given diagram)
    NL = ZY (From given diagram)
    ML = XY (From given diagram)
    By SSS rule , ΔMLN ≅ ΔXYZ (Congruent )
    Then the corresponding parts are 3 pairs of sides and 3 pairs of angles,
    MN = XZ (Corresponding sides of congruent triangles)
    NL= ZY (Corresponding sides of congruent triangles)
    LM = YX (Corresponding sides of congruent triangles)
    ∠M = ∠X (Corresponding angles of congruent triangles)
    ∠L = ∠Y  (Corresponding angles of congruent triangles)
    ∠N = ∠Z (Corresponding angles of congruent triangles)

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