Line Segment Addition

Front

What is the Line Segment Addition Postulate?

Back

If point B is between points A and C, then \( \overline{AB} + \overline{BC} = \overline{AC} \).

Front

If \( \overline{PQ} + \overline{QR} = \overline{PR} \), what does this represent?

Back

This represents the Line Segment Addition Postulate, where the sum of the lengths of two segments equals the length of the entire segment.

Front

If A, B, and C are points on a line, and B is between A and C, how do you express the relationship of their lengths?

Back

\( \overline{AB} + \overline{BC} = \overline{AC} \) where \( \overline{AB} \) is the length from A to B, \( \overline{BC} \) is from B to C, and \( \overline{AC} \) is from A to C.

Front

Solve for x: \( \overline{DE} + \overline{EF} = \overline{DF} \) where \( \overline{DE} = 5 \) and \( \overline{EF} = x \).

Back

\( x = \overline{DF} - 5 \) (You need the length of \( \overline{DF} \) to solve).

Front

If \( \overline{AB} = 12 \) and \( \overline{BC} = 16 \), what is \( \overline{AC} \)?

Back

\( \overline{AC} = \overline{AB} + \overline{BC} = 12 + 16 = 28 \).

Front

What is the formula to find the length of a segment if you know the lengths of the two smaller segments?

Back

Use the Line Segment Addition Postulate: \( \overline{AB} + \overline{BC} = \overline{AC} \).

Front

If point D is between points E and F, and \( \overline{EF} = 20 \) and \( \overline{DE} = 8 \), what is \( \overline{DF} \)?

Back

\( \overline{DF} = \overline{EF} - \overline{DE} = 20 - 8 = 12 \).

Front

Define a line segment.

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What does it mean for point B to be between points A and C?

Back

It means that point B lies on the line segment connecting points A and C.

Front

If \( \overline{XY} = 10 \) and \( \overline{YZ} = 5 \), what is \( \overline{XZ} \)?

Back

\( \overline{XZ} = \overline{XY} + \overline{YZ} = 10 + 5 = 15 \).