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# You have to show that ∆AMP ≅ ∆AMQ. In the following proof, supply the missing reasons.

In the following proof, supply the missing reasons

**Solution:-**

Steps |
Reasons |

(i) PM = QM | (i) From the figure given in the problem |

(ii) ∠PMA = ∠QMA | (ii) From the figure given in the problem. |

(iii) AM = AM | (iii) Common side for both triangles |

(iv) ΔAMP ≅ ΔAMQ | (iv) By SAS congruence property:- Two triangles are said to be congruent if the two sides and the included angle of one triangle are respectively equal to the two sides and the included angle of the other. |

Therefore, ∆ AMP ≅ ∆ AMQ is congruent with the SAS rule.

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 7

**Video Solution:**

## You have to show that ∆AMP ≅ ∆AMQ. In the following proof, supply the missing reasons.

In the following proof, supply the missing reasons.

NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.2 Question 3

**Summary:**

We have to show that ∆AMP ≅ ∆AMQ. (i) PM = QM (given in the figure) (ii) ∠PMA = ∠QMA (given in the figure) (iii) AM = AM (common side) (iv) ∆ AMP ≅ ∆ AMQ is congruent by SAS rule

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