What is the missing step in this proof? Scroll down to see the entire proof.

Statement: DE=12AF
Reason: definition of midpoint

Statement: DE = AF
Reason: definition of midpoint

Statement: DE¯¯¯¯¯ is parallel to AC¯¯¯¯¯ .
Reason: definition of parallel lines

Statement: DE = AF
Reason: Corresponding sides of congruent triangles are congruent.

Respuesta :

Solution:

1.Let me define the term midpoint first. Mid point means that point on the line segment which divides the line segment into two equal parts.

So, Option 1 is invalid.

2. Option 2 is also invalid.why this is invalid because if S is mid point of AB, it means, SA=SB.

3. Option 3 is invalid. Two lines are parallel if ,

(a) Sum of interior angles on the same side of Transversal is 180 degree.

(b) Corresponding angles are equal.

(c) Alternate interior or exterior angles are equal.

4. Option 4 is true which is ,DE=FA,

→→if these are corresponding sides of congruent triangles, then it must be equal.

As, when triangles are congruent , their corresponding sides as well as interior angles of two triangles are equal.

Answer:D E=A F

Step-by-step explanation:

Corresponding sides of congruent triangles are congruent