Mathematics
Grade9
Easy

Question

What is the missing statement in the proof?
Given: A B equals fraction numerator 1 over denominator 2 end fraction A C
Prove: B is the midpoint of stack A C with minus on top

Statements Reason
A B equals 1 half A C Given
2AB = AC Multiplication property of equality
AB + AB = AC Distributive property
AB + BC = AC ______?
AB + AB = AB + BC Transitive property of equality
AB = BC Subtraction property of equality
B is the midpoint of Error converting from MathML to accessible text. Definition of midpoint

  1. Addition property
  2. Segment Addition Postulate
  3. Substitution property
  4. Transitive property

Hint:

Segment Addition Postulate  .

The correct answer is: Segment Addition Postulate



    if a is any point on the line xy then
    xa + ay = xy . This is Segment Addition Postulate  .

     
     
     

    The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments. So, if we have three collinear points A, B, and C on segment AC, it means AB + BC = AC. It is a mathematical fact that can be accepted without proof.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.