RBSE Solutions for Class 7 Maths Chapter 9 Congruence of Triangles In Text Exercise is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 9 Congruence of Triangles In Text Exercise.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 9 |

Chapter Name |
Congruence of Triangles |

Exercise |
In Text Exercise |

Number of Questions |
3 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 7 Maths Chapter 9 Congruence of Triangles In Text Exercise

**Do and Learn**

**(Page 114)**

Question 1

When two triangles ∆ABC and ∆PQR are given, then (RBSESolutions.com) six possible matching are there in these two. Find these matching by using cutout of two triangles.

Solution:

In two triangles ∆ABC and ∆PQR. The proper pair between their vertices are six pairs as:

(i) We write ∆ABC ↔ ∆PQR for A ↔ P, B ↔ Q and C ↔ R

(ii) We write ∆ABC ↔ ∆QRP for A ↔ Q, B ↔ R and C ↔ P

(iii) We write ∆ABC ↔ ∆RPQ for A ↔ R, B ↔ P and C ↔ Q

(iv) We write ∆ABC ↔ ∆PRQ for A ↔ P B ↔ R and C ↔ Q

(v) We write ∆ABC ↔ ∆QPR for A ↔ Q, B ↔ P and C ↔ R

(vi) We write ∆ABC ↔ ∆RQP for A ↔ R, B ↔ Q and C ↔ P

Question 2

Do all matching show congruency? Identify it (RBSESolutions.com) by superimposing.

Solution:

If ∆ABC and ∆PQR are equilateral triangles and congruent also then all pairs will show the congurency. we can find by overlapping all these pairs in figured given in Q. 1.

**(Page 118)**

Question 1

Some triangles are given in figure. Which triangles (RBSESolutions.com) are congruent by R.H.S.rule?

Sol. :

∆ABC is not congruent to ∆DEF because in RHS rule, one side (RBSESolutions.com) and hypotenuse of one right angled triangle are equal to corresponding side and hypotenuse which is not in ∆ABC and ∆DEF

In right angle triangle ∆PRQ and ∆QSP

PR = SQ = 2 cm

PQ = PQ (common)

∠PRQ = ∠QSP = 90° (right angle)

∴ From R.H.S. congruency

∆PRQ ≅ ∆QSP

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