Question

Find the cost of fencing of a square Park of side 225meter at the rate of rupees 35 per metre​

Answer 1

Answer:

Congruence of Triangles NCERT In Text Questions with Solution Class Seven Mathematics

Congruence of Triangles

In Text Questions

Example 1: In given figures, lengths of the sides of the triangles are indicated. By applying SSS congruent rule, state which pairs of triangle are congruent. In case of congruent triangles, write the results in symbolic form:

congruent trianglescongruent trianglescongruent trianglescongruent triangles

Answer: (i) ΔABC ≈ ΔPQR

(ii) ΔDEF ≈ ΔNML

(iii) Not congruent

(iv) ΔADB ≈ ΔADC

Example 2: In the given figure, AB = AC and D is the mid-point of BC

congruent triangles

(a) State the three pairs of equal parts in ΔADB and ΔADC.

Answer: AD = AD, DB = DC and AB = AC

(b) Is ΔADB ≈ΔADC? Give reasons.

Answer: By SSS criterion, triangles are congruent.

(c) Is angle B = angle C? Why?

Answer: Since, triangle are congruent, AC = AB and DC = DB hence, angle B = angle C

Example 3: In the given figure, AC = BD and AD = BC. Which of the following statements is meaningfully written? (i) ΔABC ≈ ΔADB (ii) ΔABC ≈ ΔBAD

Answer: (ii) ΔABC ≈ ΔBAD

congruent triangles

Example 4: Which angle is included between the sides DE and EF of ΔDEF?