Exploring Segment and Angle Addition in Geometry

The video tutorial introduces the segment addition postulate, explaining how segments on a line can be combined to find total lengths. It provides examples to illustrate the concept, including solving for unknown segment lengths using algebra. The tutorial also covers the angle addition postulate, demonstrating how angles can be combined to find total measures.

What is a segment in geometry?

• A plane surface

• A part of a line with two endpoints

• A line that extends infinitely in both directions

• A point on a line

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CCSS.HSG.CO.A.1

What does the Segment Addition Postulate state?

• A segment can be divided into any number of equal parts

• The length of a segment is the product of its endpoints

• If a point is between two other points on a line segment, the sum of the lengths of the two smaller segments equals the length of the larger segment

• The sum of the lengths of two segments is always greater than the length of the third segment

In the example where AC is 12 cm and BA is 20 cm, what is the length of BC?

• 32 cm

• 20 cm

• 12 cm

• 8 cm

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CCSS.8.G.B.8

What is the first step in solving a geometry problem when no picture is provided?

• Look for similar problems

• Guess the answer

• Draw a picture

• Write down the given information

If ST is represented as X-6 and TU as 2X-8, and the total length SU is 10, what is the value of X?

• 6

• 4

• 8

• 10

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CCSS.HSG.SRT.B.4

What is the length of ST if X is found to be 8?

• 8

• 6

• 4

• 2

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CCSS.HSG.CO.C.10

What does the term 'collinear' mean?

• Points that form a right angle

• Points that lie on the same line

• Points that are equidistant from each other

• Points that lie on the same plane

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CCSS.HSG.CO.A.1

What is the purpose of combining like terms in an algebraic equation?

• To make the equation more complex

• To simplify the equation

• To eliminate variables

• To find the sum of the terms

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CCSS.7.EE.A.1

In the angle problem, if angle ADB is 25 degrees and angle CBA is 65 degrees, what is the measure of angle DBC?

• 25 degrees

• 40 degrees

• 90 degrees

• 65 degrees

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CCSS.7.G.B.5

What does the term 'interior' mean in the context of angles?

• Adjacent to the angle

• Outside the angle

• Inside the angle

• On the angle

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CCSS.8.G.A.5