# EXERCISE 7.1

QUESTION 1

Complete the following statements :

1. Two line segments are congruent if _______________.

2. Among two congruent angles, one has a measure of 70∘ , the measure of other angle is _______________.

3. When we write ∠A = ∠B, we actually mean _______________.

Sol :

(a) they have the same length

(b) 70∘

(c) m∠A = m∠B

QUESTION 2

Give any two real time examples for congruent shapes

Sol :

(i) Two footballs

(ii) Two teacher’s tables

QUESTION 3

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

Sol :

Given: ΔABC≅ΔFED

The corresponding congruent parts of the triangles are:

(i) ∠A ↔ ∠F

(ii) ∠B ↔ ∠E

(iii) ∠C ↔ ∠D

(iv)

(v)

(vi)

QUESTION 4

If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that correspond to:

(i) ∠E (ii) (iii) ∠F (iv)

Sol :

Given : ΔDEF≅ΔBCA

(i) ∠E ↔∠C

(ii)

(iii) ∠F ↔∠A

(iv)