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