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

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## Chapter 9 Worksheet 4 | Congruent Triangles | Class-7 DAV Secondary Mathematics

1. △ABC is isosceles with AB = AC. AD is the altitude from A on BC (Fig. 9.37).

(i) Is △ABD =△ACD? Why?

(ii) State the three pairs of matching parts you have used to answer (i).

(iii) Is it true to say that BD = CD? Why?

2. In Fig. 9.38, which pairs of triangles are congruent by RHS congruence condition. If congruent, write the result in symbolic form.

3. QS and RT are the altitudes of △POR, and QS = RT (Fig. 9.39).

(i) Is △QRS = △RQT by RHS congruence condition?

(ii) State the three pairs of corresponding parts which make △QRS = △RQT.

4. In Fig. 9.40, ∠B = ∠P = 90°, and side AB = side PR. What additional Information Is required to make △ABC = △RPQ by RHS congruence condition?

5. In Fig. 9.41, AC = DB and AB perpendicular BC. Also DC perpendicular BC. State which of the following statement Is true.
(i) △ABC = △DBC

(ii) △ABC = △DCB

(iii) △ABC = △BCD

State the three pairs of matching parts you have used to arrive at the answer. Which side is equal to side AB? Why?