Mathematics

Grade9

Easy

Question

# Write a complete proof by matching each statement with its corresponding reason.

GIVEN: is an angle bisector of .

PROVE:

Statements | Reason |

is an angle bisector of | A. Definition of angle bisector |

B. Distributive Property | |

C. Angle Addition Postulate | |

D. Given | |

E. Division Property of Equality | |

F. Definition of congruent angles | |

G. Substitution Property of Equality |

- 1 - A, 2 - B, 3 - C, 4 - D, 5 - E, 6 - F, 7 - G
- 1 - G, 2 - F, 3 - A, 4 - B, 5 - C, 6 - E, 7 - D
- 1 - D, 2 - F, 3 - A, 4 - C, 5 - G, 6 - B, 7 - E
- 1 - D, 2 - F, 3 - A, 4 - E, 5 - B, 6 - G, 7 - C

Hint:

### In this question , we have to match the statement to the correct reasons. Given is (QS ) ⃗ is an angle bisector of ∠PQR. Remember the property of equality to match them.

## The correct answer is: 1 - D, 2 - F, 3 - A, 4 - C, 5 - G, 6 - B, 7 - E

### Here we have to match the statement to the correct reasons.

We have given (QS ) ⃗ is an angle bisector of ∠PQR.

Now,

Statements Reason

Statements
Reason
is an angle bisector of
A. Definition of angle bisector
B. Distributive Property
C. Angle Addition Postulate
D. Given
E. Division Property of Equality
F. Definition of congruent angles
G. Substitution Property of Equality

The match are:

1 → D

2 → F

3 → A

4 → C

5 → G

6 → B

3 → E

Therefore the correct answer is 1-D, 2- F, 3 - A, 4- C, 5 - G, 6 - B, 7-E.

In this question , we have to match the statements to the correct reasons and for that , Use the Property of Equality and match with correct reason.