Gujarat Board GSEB Textbook Solutions Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.1 Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.1
Question 1.
Complete the following statements:
(a) Two line segments are congruent
(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is .
(c) When we write ∠A = ∠B, we actually mean
Solution:
(a) Two line segments are congruent if they have the same length.
(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is 70°.
(c) When we write ∠A = ∠B, we actually mean m∠A = m∠B.
Question 2.
Give any two real-life examples for congruent shapes.
Solution:
(i) Shaving blades of the same brand.
(ii) Biscuits of the same type in the same packet.
Question 3.
If ∆ABC ≅ ∆FED under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.
Solution:
All the corresponding congruent parts of ∆ABC and ∆FED are:
∠A ↔ ∠F, ∠B ↔ ∠E, ∠C ↔ ∠D
\(\overline{A B}\) ↔ \(\overline{F E}\), \(\overline{B C}\) ↔ \(\overline{E D}\), \(\overline{C A}\) ↔ \(\overline{D F}\)
Question 4.
If ∆DEF ≅ ∆BCA, write the part(s) of ∆BCA that corresponding to
(i) ∠E
(ii) ∠EF
(iii) ∠F
(iv) ∠DF
Solution:
∵ ∆DEF ≅ ∆BCA
∴ (i) ∠E ↔ ∠C
(ii) ∠EF ↔ ∠CA
(iii) ∠F ↔ ∠A
(iv) ∠DF ↔ ∠BA