In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PQR. State whether the statement is true or false.
Solution:
Given, two triangles ABC and PQR
AB = 3.5 cm, AC = 5 cm, BC = 6 cm
PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm
∆ABC ≅ ∆PQR
We have to determine if the given statement is true or false.
Considering triangle ABC and PRQ,
AB = PR = 3.5 cm
BC = RQ = 6 cm
AC = PQ = 5 cm
Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.
By SSS rule, ∆ABC ≅ ∆PQR
✦ Try This: In ∆DEF, DE = 2.5 cm, DF = 4 cm, EF = 5 cm and in ∆XYZ, XZ= 2.5 cm, XY = 4 cm, YZ = 5 cm. Then ∆DEF ≅ ∆XYZ. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 73
In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PQR. State whether the statement is true or false.
Summary:
The given statement,”In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC ≅ ∆PQR” is true.
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