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