Mathematics

Grade9

Easy

Question

# Copy and complete the proof.

GIVEN

PROVE

What is reason 1 and reason 5?

Statements | Reasons |

1. | 1. ____ ? |

2. RS = RT | 2. Transitive Property of Equality |

3. RT = TS |
3. Definition of congruent segments |

4. RS = TS | 4. Transitive Property of Equality |

5. | 5. _____? |

- Reason 1 - Given, Reason 5 - Definition of midpoint
- Reason 1 - Definition of congruency, Reason 5 - Given
- Reason 1 - Given, Reason 5 - Definition of congruency
- Reason 1 - Definition of midpoint, Reason 5 - Conclusion

Hint:

### In this question, We have triangle RST in which, we are given a RT =5, RS = 5, (RT) ̅ ≅ (TS) ̅ and here we have to prove is (RS) ̅ ≅ (TS) ̅ . Here 5 total step were given and also asked the reason of 1st step and 5th step. Use the property of equality.

## The correct answer is: Reason 1 - Given, Reason 5 - Definition of congruency

### We have to find the reason of 1st step and 5th step.

Firstly , we are given a triangle RST , in which given is RT =5, RS = 5, (RT) ̅ ≅ (TS) ̅ .

Now,

Statement Reason

1. RT =5, RS = 5, (RT) ̅ ≅ (TS) ̅ 1. Given

2. RS = RT 2. Transitive property of Equality

3. RT = TS 3. Definition of congruent segments

4. RS = TS 4.Transitive Property of equality

5. (RS) ̅ ≅ (TS) ̅ 5. Definition of Congruency

Therefore, the reason of step 1 is given and step 5 is definition of congruency.

The correct answer is Reason 1 – Given , Reason 5 – Definition of Congruency.

In this question , we have to find the reason of step 1 and 5 , here step 1 is already given and step 5 is definition of congruency. Here we already proved that RS = TS so if two lines are equal then they are also congruent.