Segment Addition Postulate & Midpoints

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If GH = 8 and HI = 17, what is GI?

Back

GI = GH + HI = 8 + 17 = 25.

Front

What is a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

If T is the midpoint of SU, what can we say about ST and TU?

Back

ST = TU.

Front

If HJ = 7x - 27, how do you find x?

Back

Set HJ equal to a known length and solve for x.

Front

If DF = 9x - 39, how do you find EF?

Back

Substitute the value of x into the expression for DF to find EF.

Front

What does BC + CD = BD represent?

Back

This represents the Segment Addition Postulate where B, C, and D are collinear points.

Front

If the length of a segment is represented by a variable, how do you solve for it?

Back

Set the expression equal to a known length and solve for the variable.

Front

What is the formula to find the length of a segment given its endpoints?

Back

Length = |x2 - x1| for horizontal segments or |y2 - y1| for vertical segments.

Front

How do you determine if a point is a midpoint using coordinates?

Back

If M is the midpoint of AB, then M = ((x1 + x2)/2, (y1 + y2)/2).