Segment Addition Postulate Explained

The video tutorial covers the concepts of line segments and lines, emphasizing the differences between them, such as endpoints and infinite length. It introduces the segment addition postulate, explaining how the sum of parts of a segment equals the whole. The tutorial includes three examples: finding the length of segment CD, solving for the length of segment RS, and determining the value of X and segment BC. Each example demonstrates the application of the segment addition postulate in solving geometry problems.

What is a key characteristic of a line segment?

• It has infinite length.

• It has endpoints and can be measured.

• It has no endpoints.

• It cannot be measured.

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CCSS.HSG.CO.A.1

How can a line segment with endpoints A and B be represented?

• Only as segment BA

• Only as segment AB

• As line AB

• As either segment AB or segment BA

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CCSS.HSG.CO.A.1

What does the Segment Addition Postulate state?

• The sum of the lengths of two segments equals the length of the whole segment.

• A line segment can be divided into two equal parts.

• The midpoint of a segment divides it into two equal parts.

• A line has infinite length.

In the Segment Addition Postulate, if AB + BC = AC, what must be true?

• A and C are the same point.

• A, B, and C are collinear.

• A, B, and C form a triangle.

• B is the midpoint of AC.

If CE = 1.1 inches and ED = 2.7 inches, what is the length of CD?

• 3.8 inches

• 1.6 inches

• 4.0 inches

• 2.8 inches

In the first example, what is the first step in solving for the length of CD?

• Solve for the unknown

• Set up the equation

• Identify what you know

• Create a picture

If RT = 4 cm and ST = 1.6 cm, what is the length of RS?

• 1.4 cm

• 2.4 cm

• 5.6 cm

• 3.4 cm

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CCSS.HSG.SRT.B.4

In the second example, what is the equation set up to find RS?

• RS + 1.6 = 4

• RS + 4 = 1.6

• RS = 4 + 1.6

• RS = 4 - 1.6

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CCSS.4.MD.A.2

If CB = 2x, BD = 4x, and CD = 18, what is the value of x?

• 2

• 5

• 3

• 4

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CCSS.HSG.CO.C.10

In the third example, what is the length of BC if x = 3?

• 3 inches

• 6 inches

• 12 inches

• 9 inches