1.3 Segment Lengths, Segment Addition Postulate, and Midpoints

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

Which symbol indicates congruence?

Back

≅

Front

If Q is the midpoint of PR and PQ = 6x – 7 and QR = 5x + 1, find the length of PR.

Back

82

Front

If RS is the segment bisector and OQ = 32 and PO = 4x, what does x equal?

Back

8

Front

Find the length of AC if AB = 7 and BC = 15.

Back

22

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

Define a midpoint.

Back

A point that divides a segment into two equal parts.

Front

What does it mean for segments to be congruent?

Back

They have the same length.

Front

If segment AB is 10 units long, what is the length of each half if point C is the midpoint?

Back

5 units.

Front

What is the formula to find the length of a segment given endpoints A(x1, y1) and B(x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).