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NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercise 7.1 is provided for student reference in the form of a pdf file below. Exercise 7.1 broadly discusses the congruence of plane figures, congruence among line segments, congruence of angles, and congruence of triangles.
Two or more objects are congruent if they are exact copies of each other. The method of superposition examines the congruence of plane figures. Some of the important take away noted for this exercise are:
- If two line segments have equal length, they are congruent. Also, if two line segments are congruent, they have the same length.
- If two angles have the same measure, they are congruent. Also, if two angles are congruent, their measures are the same.
- Two triangles are congruent if they are copies of each other and when superposed, i.e. they cover each other exactly
Download PDF: NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.1
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Examples From Class 7 Chapter 7 Congruence of Triangles
| Ques. In the figure, PQR is a triangle in which PQ = PR. The medians of the triangle are QM and RN. Prove: (a) ΔNQR = ΔMRQ (b) QM = RN (c) ΔPMQ = ΔPNR
Ans. In the figure, ΔPQR is an isosceles triangle (PQ = PR) Therefore, ½ of PQ = ½ of PR Thus, NQ = MR and PN = PM
NQ = MR (half of the equal sides are also equal) Also, ∠NQR = ∠MRQ (angles opposite to equal sides are also equal) QR = RQ (common side) Therefore, ΔNQR = ΔMRQ (by SAS criterion)
PN = PM (half of the equal sides are also equal) We know that PR = PQ ∠P = ∠P (common angles) Therefore, ΔPMQ = ΔPNR (by SAS criterion) |
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