Question

100 points + solve please ! thank you v muchh

Answer 1

1) Given

2) Given

3) Segment Addition Postulate

4) Segment Addition Postulate

5) Substitution Property of Equality

6) Transitive Property of Equality

7) Definition of congruent segments

Explanation:

Segment Addition Postulate

If a line segment has two endpoints, A and C, and a third point B lies somewhere on the line segment AC, the distance from A to B plus the distance from B to C is equal to the distance from A to C:

• AB + BC = AC

Substitution Property of Equality

If two expressions are equal to each other, then we can replace one of them with the other in any equation or expression, and the equality will still hold true

Transitive Property of Equality

If a = b and b = c, then a = c.

Statements Reasons

1) AB ≅ DE 1) Given

2) BC ≅ EF 2) Given

3) AB + BC = AC 3) Segment Addition Postulate

4) DE + EF = DF 4) Segment Addition Postulate

5) AB + BC = DF 5) Substitution Property of Equality

6) AC = DF 6) Transitive Property of Equality

7) AC ≅ DF 7) Definition of congruent segments