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.
