NCERT Solutions Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.1

NCERT Solutions Class 7 Mathematics 
Chapter – 7 (Congruence of Triangles)

The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 7 Congruence of Triangles Exercise 7.1 has been provided here to help the students in solving the questions from this exercise. 

Chapter : 7 Congruence of Triangles

Exercise – 7.1 

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) Two line segments are congruent if they have the same length.

(b) Among two congruent angles, one has a measure of 70o; the measure of the other angle is 70o.

(c) When we write ∠A = ∠B, we actually mean m ∠A = m ∠B.

2. Give any two real-life examples for congruent shapes.

Solution – The two real-life example for congruent shapes are,

(i) Size of chocolate in the same brand.
(ii) Size of pens in the same brand

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

Solution –
Given ∆ABC = ∆FED
and ABC ⟷ FED
\overline{AB} \leftrightarrow \overline{EF},
⇒ ∠A \leftrightarrow ∠F,

\overline{BC} \leftrightarrow \overline{DE}
⇒∠B \leftrightarrow ∠E

\overline{AC} \leftrightarrow \overline{DF},
⇒ ∠C \leftrightarrow ∠D

4. If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to
(i) ∠E
(ii) \mathbf{\overline{EF}}
(iii) ∠F
(iv) \mathbf{\overline{DF}}

Solution –

Given ∆DEF ≅ ∆BCA
(i) ∠E ⟷ ∠C
(ii) ∠F ⟷ ∠A
(iii) EF ⟷ CA
(iv) DF ⟷ BA

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