Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

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Chapter 9 Worksheet 3 | Congruent Triangles | Class-7 DAV Secondary Mathematics

Unit 9 Worksheet 3 || Congruent Triangles

1. In Fig. 9.28, ∠P = ∠Y = 40° and ∠Q = ∠Z = 60°. Find the third pair of corresponding parts which make △PQR = △YZX, by ASA congruence condition.

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

Answer 1:

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

2. Which pairs of triangles are congruent by ASA congruence condition In Fig. 9.29? If congruent, write the congruence of the two triangles in symbolic form.

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

Answer 2:

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics
Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics
Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

3. in Fig. 9.30, QX bisects ∠POR as well as ∠PSR. State the three facts needed to ensure that △QRS = △QPS.

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

Give reasons for each statement.

Answer 3:

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

4. In Fig. 9.31, PS bisects ∠P and PS Perpendicular QR.

(i) Find the three pairs of matching parts to check whether △PSQ = △PSR or not.

(ii) Is △PSQ = △PSR?

(iii) Is it true to say that QS = SR? Why?

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

Answer 4:

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics
Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

5. In Fig. 9.32, AO = BO and ∠A = ∠B.

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

(i) Is ∠AOC = ∠BOD? Why?

(ii) Is △AOC = △BOD by ASA congruence condition?

(iii) Is ∠ACO = ∠BDO? Why?

Answer 5:

Chapter 9 | Congruent Triangles | Class-7 DAV Secondary Mathematics

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