These NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.1 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1

Question 1.

Complete the following statements:

(a) Two line segments are congruent if ……………….

(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 …………………

Answer:

(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.

Answer:

(i) Two ten-rupee notes.

(ii) Biscuits of the same type in the same packet.

Question 3.

If ΔABC ≅ ΔFED under the correspondences ABC ↔ FED, write all the corresponding congruent parts of the triangles.

Answer:

Corresponding vertices : A and F; B and E; C and D.

Corresponding sides : \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{FE}} ; \overline{\mathrm{BC}}\) and \overrightarrow{\mathrm{ED}} ; \overline{\mathrm{CA}} and \(\overline{\mathrm{AB}}\)

Corresponding angles : ∠A and ∠F; ∠B and ∠E; ∠C and ∠D

Question 4.

If ΔDEF ≅ ΔBCA, write the part (s) of ΔBCA that correspond to

(i) ∠E

(ii) \(\overline{\mathrm{EF}}\)

(iii) ∠F

(iv) \(\overline{\mathrm{DF}}\)

Answer:

(i) ∠C

(ii) \(\overline{\mathrm{CA}}\)

(iii) ∠A

(iv) \(\overline{\mathrm{BA}}\)