NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles

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Q.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 ___________.

Ans : (a) They have the same length 
(b) 70° 
(c) m ∠A = m ∠B 

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

Ans : (i) Sheets of same letter pad 
(ii) Biscuits in the same packet 

Q.3: If ∆ABC ≅ ∆FED under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.

Ans : If these triangles are congruent, then the corresponding angles and sides will be equal to each other. 
\(\begin{array} { l } { \angle A \leftrightarrow \angle F } \\ { \angle B \leftrightarrow \angle E } \\ { \angle C\leftrightarrow \angle D }\\ { \overline { B C } \leftrightarrow \overline { F E } } \\ { \overline { B C } \leftrightarrow \overline { E D } } \\ { \overline { C A } \leftrightarrow \overline { D F } } \end{array}\) 

Q.4: If ∆DEF ≅ ∆BCA, write the part(s) of ∆BCA that correspond to 
(i) ∠E
(ii)\(\overline { \mathrm { EF } }\)
(iii) ∠F (iv) \(\overline { \mathrm { DF} }\)

Ans : (i) ∠C
(ii)\(\overline { \mathrm { CA } }\)
(iii) ∠A 
(iv) \(\overline { \mathrm { BA} }\) 

Q.5: In Fig, lengths of the sides of the triangles are indicated. By applying the SSS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form:

Ans : Missing 

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