State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆ABC : AB = 4.8 cm, ∠ A = 90°, AC = 6.8 cm ∆XYZ : YZ = 6.8 cm, ∠ X = 90° , ZX = 4.8 cm
Solution:
Given, ABC and XYZ are a pair of triangles.
We have to determine if the given pairs of triangles are congruent and write them in symbolic form.
In triangle ABC,
AB = 4.8 cm and AC = 6.8 cm
∠A = 90°
In triangle XYZ,
YZ = 6.8 cm and ZX = 4.8 cm
∠X = 90°
∠Y = 60°
We observe that two sides are equal but the angles included between them are not equal.
Therefore, the triangles are not congruent.
✦ Try This: State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆ PQR : PQ = 5 cm, QR = 2.0 cm, ∠Q = 60° ∆ STU : ST = 5 cm, TU = 2 cm, ∠T = 60°
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 149 (b)
State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure). ∆ABC : AB = 4.8 cm, ∠ A = 90°, AC = 6.8 cm ∆XYZ : YZ = 6.8 cm, ∠ X = 90° , ZX = 4.8 cm
Summary:
∆XYZ : XY = 4.2 cm, YZ = 2.0 cm, ∠Y = 70° ∆DEF : DE = 4.2 cm, EF = 2 cm, ∠E = 60°. The given triangles are not congruent.
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