Foundations of geometry

What is the difference between a LINE SEGMENT and a LINE?

• Line Segments are two-dimensional, Lines are one-dimensional

• Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

• Line Segments have finite lengths; Lines go on forever.

• Line segments are geometric figures; Lines are not.

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CCSS.4.G.A.1

Part of a line. Has one endpoint and continues on forever in one direction.

• Line Segment
• Line
• Ray
• Point

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CCSS.4.G.A.1

Baymax's eyes make a...

• Line
• Line segment
• Ray
• Angle

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CCSS.4.G.A.1

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

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CCSS.4.G.A.1

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

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CCSS.4.G.A.1

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.

Give another name for line b

• line a
• R
• line KL
• line HK

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CCSS.HSG.CO.A.1

An example of coplaner points

• D, E, B
• C, B, A
• M, E, C
• A, F, E

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CCSS.HSG.CO.A.1

How would you describe points I, L, C?

• collinear
• non-coplanar
• symmetric
• coplanar

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CCSS.HSG.CO.A.1

Name the intersection of Line c and Plane R

• Point J
• Line HK
• Point K
• Line MN

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CCSS.HSG.CO.A.1