Mathematics

Grade9

Easy

Question

# The steps of a proof are shown.

Given: T is the midpoint of .

Prove: x = 5

What is reason 4?

Statements | Reasons |

1. T is the midpoint of | 1. Given |

2. | |

3. ST = TU | |

4. 7x = 3x + 20 | |

5. 4x = 20 | |

6. x = 5 |

- Definition of midpoint
- Division Property of Equality
- Substitution Property of Equality
- Definition of congruent segments

Hint: