# EXERCISE – 7.1

Q1. Complete the following statements:

(a) Two lines segments are congruent if _They have the same length_________.

(b) Among two congruent angles, one has a measure of 700; the measures of the other angle is __700________.

(c) When we write Angle A = Angle B , we actually mean__m Angle A = m Angle B________

Q2. Give any two real – life examples for congruent shapes.

SOLUTION:-

The two real – life examples for congruent shapes are,

(i) Fan feathers of same brand.

(ii) Size of chocolates in the same brand.

Q3. If

ΔABC ≈ΔFED under the correspondence ABC <-> FED , write all the corresponding congruent parts of the triangles.

SOLUTION:-

Two triangles are congruent If pairs of corresponding sides and corresponding angles are equal.

All the corresponding congruent parts of the triangles are,

Angle A <-> Angle F , Angle B <-> Angle E , Angle C , <-> Angle D

Correspondence between sides;

AB <-> FE

BC <-> ED

CA <-> DF

Q4. If ΔDEF ΔBCA, write the part(s) of ΔBCA that correspond to

(i) Angle E

(ii) EF

(iii) Angle F

(iv) DF

SOLUTION:-

From above the figure we can say that,

The part(s) of ΔBCA that correspond to,

(i) Angle E <-> Angle C

(ii) EF <-> CA

(iii) Angle F <-> Angle A

(iv) DF <-> BA