Sponsor Area

Congruence of Triangles

Question
CBSEENMA7000866

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 __________.

Solution

They have the same length

,

70°

,

m ∠A = m ∠B

Question
CBSEENMA7000867

Give any two real-life examples for congruent shapes.

Solution

(i) Sheets of same letter pad

(ii) Biscuits in the same packet

Question
CBSEENMA7000868

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

Solution

If these triangles are congruent, then the corresponding angles and sides will be equal to each other.

∠A ↔ ∠F

∠B ↔ ∠E

∠C ↔ ∠D

ABFEBCEDCADF

Question
CBSEENMA7000869

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

(i) ∠E (ii) EF (iii) ∠F (iv) DF

Solution

(i) ∠C

(ii) CA

(iii) ∠A

(iv) BA