NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.1
NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1
Ex 7.1 Class 7 Maths Question 1.
Complete the following statements:
(a) Two line segments are congruent if _______ .
(b) Among the 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) they have the same length
(b) 70°
(c) m∠A = m ∠B
Ex 7.1 Class 7 Maths Question 2.
Give any two real life examples for congruent shapes.
Solution:
- Sharing blades of the same brand.
- Biscuits of the same packets.
Ex 7.1 Class 7 Maths Question 3.
If ∆ABC ≅ ∆FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles.
Solution:
Given: ∆ABC = ∆FED
and ABC ⟷ FED
∴ (begin{array}{l}{overline{mathrm{AB}} leftrightarrow overline{mathrm{FE}}, overline{mathrm{BC}} leftrightarrow overline{mathrm{ED}}, overline{mathrm{AC}} leftrightarrow overline{mathrm{FD}}} \ {angle mathrm{A} leftrightarrow angle mathrm{F}, angle mathrm{B} leftrightarrow angle mathrm{E}, angle mathrm{C} leftrightarrow angle mathrm{D}}end{array})
Ex 7.1 Class 7 Maths Question 4.
If ∆DEF ≅ ∆BCA. Write the part of ABCA that correspond to
(i) ∠E
(ii) (overline{mathrm{EF}})
(iii) ∠ZF
(iv) (overline{mathrm{DF}})
Solution:
Given: ∆DEF ≅ ∆BCA
(i) ∠E ⟷ ∠C
(ii) ∠F ⟷ ∠A
(iii) EF ⟷ ZA
(iv) DF ⟷ BA
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