Updated By SaraNextGen

On March 11, 2024, 11:35 AM

Question 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 __________.

Answer:

(a) They have the same length

(b) 70°

(c) m ∠A = m ∠B

Question 2:

Give any two real-life examples for congruent shapes.

Answer:

(i) Sheets of same letter pad

(ii) Biscuits in the same packet

Question 3:

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

Answer:

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

∠A ↔ ∠F

∠B ↔ ∠E

∠C ↔ ∠D

Question 4:

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

(i) ∠E (ii)   (iii) ∠F (iv) 

Answer:

(i) ∠C

(ii) 

(iii) ∠A

(iv) 

Question 5:

In the figure, the two triangles are congruent.

The corresponding parts are marked. We can write ΔRAT ≅ ?

Answer:

It can be observed that,

∠RAT = ∠WON

∠ART = ∠OWN

AR = OW

Therefore, ΔRAT   ΔWON, by ASA criterion.