Mathematics
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

Hint:

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 → D2 → F 3 → A4 → C5 → G6 → B3 → ETherefore 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.