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