Exploring Segment Postulates and Congruence

This video tutorial by Mr. Backberg covers segment postulates, focusing on the ruler and segment addition postulates. It explains how to measure segments using absolute values and demonstrates the concept of congruent segments. The tutorial includes examples to illustrate these concepts, helping students understand how to identify and work with congruent segments on a number line and coordinate grid.

What is the main difference between a line and a segment?

• A segment goes on forever, a line does not.

• A line can be measured, a segment cannot.

• A segment has endpoints, a line does not.

• A line has endpoints, a segment does not.

How do you find the distance between two points on a segment using the ruler postulate?

• By taking the absolute value of the sum of the coordinates.

• By multiplying the coordinates of the endpoints.

• By adding the coordinates of the endpoints.

• By taking the absolute value of the difference of the coordinates.

If point A is at -3 and point C is at 6, what is the length of segment AC?

• 12

• 3

• 6

• 9

What does the segment addition postulate state?

• The length of a segment is the sum of the lengths of its parts.

• The length of a segment is the difference of the lengths of its parts.

• The length of a segment is the product of the lengths of its parts.

• The length of a segment is the quotient of the lengths of its parts.

Given AB = 15 and BC = 21, what is the length of AC?

• 42

• 36

• 21

• 15

If AC = 42 and AB = 17, what is the length of BC?

• 59

• 17

• 25

• 42

In the equation LM + MN = LN, if LM = 7y + 9 and MN = 3y + 4, what is LN?

• 7y + 4

• 10y + 4

• 10y + 13

• 7y + 13

What does it mean for segments to be congruent?

• They have the same length.

• They are on the same line.

• They have the same endpoints.

• They are parallel.

How do you denote that two segments are congruent?

• Using a congruent symbol (≅).

• Using a plus sign.

• Using an equal sign.

• Using a multiplication sign.

If segment JK is horizontal and segment LM is vertical, how do you determine if they are congruent?

• By comparing their x-coordinates.

• By comparing their y-coordinates.

• By comparing their lengths.

• By comparing their slopes.