1
Question
In the pair of triangles below, find matching pairs of sides and write their names.
[3 marks]
[3 marks]Open in App
Solution
In △LMN,
∠L + ∠M + ∠N = 180° (by angle sum property)
30° + 80° + ∠N = 180°
∠N = 70°
[0.5 mark]
In △LMN and △YZX,
∠L = ∠Y = 30° -----(i)
LN = YX = 8 cm --- (ii)
∠N = ∠X = 70° -----(iii)
[1 mark]
∴ From (i), (ii), and (iii) △LMN ≅ △YZX by ASA congruency criterion.
[0.5 mark]
∴ The matching pairs of sides are,
LM = YZ
MN = ZX
LN = YX
[1 mark]
∠L + ∠M + ∠N = 180° (by angle sum property)
30° + 80° + ∠N = 180°
∠N = 70°
[0.5 mark]
In △LMN and △YZX,
∠L = ∠Y = 30° -----(i)
LN = YX = 8 cm --- (ii)
∠N = ∠X = 70° -----(iii)
[1 mark]
∴ From (i), (ii), and (iii) △LMN ≅ △YZX by ASA congruency criterion.
[0.5 mark]
∴ The matching pairs of sides are,
LM = YZ
MN = ZX
LN = YX
[1 mark]
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