Exploring the Segment Addition Postulate

What is the Segment Addition Postulate?

• It states that the sum of the angles in a triangle is 180 degrees.

• It states that if a point is between two other points on a line, the sum of the two smaller segments equals the larger segment.

• It states that the sum of the interior angles of a polygon is equal to the number of sides minus two times 180 degrees.

• It states that the sum of the lengths of two sides of a triangle is greater than the length of the third side.

In the Segment Addition Postulate, what must be true about the points?

• They must be non-collinear.

• They must form an equilateral triangle.

• They must form a right angle.

• They must be collinear.

If point Q is between points P and R, and PQ = 7 and QR = 9, what is the length of PR?

• 16

• 20

• 18

• 14

In Example 1B, if JL = 23 and KL = 6, what is the length of JK?

• 17

• 21

• 15

• 19

In Example 2, if a segment has lengths Z-3 and Z+4, and the total length is 4Z-15, what is the value of Z?

• 6

• 9

• 7

• 8

What are congruent segments?

• Segments that have the same length.

• Segments that are parallel.

• Segments that are perpendicular.

• Segments that form a right angle.

How do you denote that two segments are congruent?

• Using the perpendicular sign (⊥).

• Using the parallel sign (||).

• Using the congruency sign (≅).

• Using the equal sign (=).

If DE = 6 and EF = 6, what can be said about DE and EF?

• They are not congruent.

• They are congruent.

• They are perpendicular.

• They are parallel.

In Example 3, if AB = 12 and CD = 13, are AB and CD congruent?

• No, because they are not parallel.

• Yes, because they are on the same line.

• No, because their lengths are different.

• Yes, because they are both segments.

What is the correct way to write that segment DE is congruent to segment EF?

• DE || EF

• DE ⊥ EF

• DE ≅ EF

• DE = EF