AP State Syllabus AP Board 7th Class Maths Solutions Chapter 8 Congruency of Triangles Ex 1 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 8th Lesson Congruency of Triangles Exercise 1

Question 1.

Decide whether the SSS congruence is true with the following figures. Give reasons

Solution:

i) From the figures,

BE = CA

EN = AR

BN = CR

∴ S.S.S congruency is true.

ii) From the figure,

AL = SD = 4 cm

LD = LD = common side

AD ≠ LS (3 cm ≠ 2.5 cm)

∴ S.S.S congruency is not ture.

Question 2.

For the following congruent triangles, and the pairs of corresponding angles.

Solution:

i) ∠P = ∠R

∠T = ∠S

∠TQP = ∠SQR

ii) ∠P=∠S

∠Q = ∠R

∠POQ = ∠SOR

Question 3.

In the adjacent figure, choose the correct answer!

(i) ΔPQR ≅ ΔPQS

(ii) ΔPQR ≅ ΔQPS

(iii) ΔPQR ≅ ΔSQP

(iv) ΔPQR ≅ ΔSPQ

Solution:

(ii) ΔPQR ≅ ΔQPS is correct.

Question 4.

In the figure given below, AB = DC and AC = DB. Is ΔABC ≅ ΔDCB.

Solution:

Given that AB = DC

AC = DB

Also from the figure ∠B = ∠C

∴ ΔABC ≅ ΔDCB