Mathematics – Class 7 – Chapter 7 – Congruence of Triangle – Exercise – 7.1 – NCERT Exercise Solution

1. Complete the following statements:

(a) Two line segments are congruent if ______________________________.

Solution: 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 _____.

Solution: 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.

Solution: When we write ∠A = ∠B, we actually mean m ∠A = m ∠B.

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

Solution: The real-life examples for congruent shapes are:

(i) Biscuit of same packets.

(ii) Size of chocolate in the same brand.

(iii) Size of pens in the same brand

(iv) Sharing blades of the same brand and size.

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

Solution: If pairs of corresponding sides and corresponding angles are equal to a triangle then two triangles are congruent.

All the corresponding congruent parts of the triangles ABC and triangle FED are,

Mathematics - Class 7 - chapter 7 - Congruence of Triangle - Exercise - 7.1 - NCERT Exercise Solution
Mathematics - Class 7 - chapter 7 - Congruence of Triangle - Exercise - 7.1 - NCERT Exercise Solution

Solution:

Let us draw a rough figure according to the given question:

Mathematics - Class 7 - chapter 7 - Congruence of Triangle - Exercise - 7.1 - NCERT Exercise Solution

From above the figure, we can say that,

The part of ΔBCA that correspond to,

Mathematics - Class 7 - chapter 7 - Congruence of Triangle - Exercise - 7.1 - NCERT Exercise Solution

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