Points, lines, planes, segments

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Presentation transcript:

Points, lines, planes, segments Vocabulary Points, lines, planes, segments

Point Examples: A B Point C is 1 inch off the face of this screen C

Line Examples: C D E B A

Space Example: (look around…3D view of everything in room)

Collinear Points Example: P N M W X Y Z

Plane Example:

Coplanar Points Example:

Postulate Example: Through any two points there is exactly one line. This is accepted to be true.

Segment Examples: G L H K J

Ray Examples:

Parallel Examples: a b m n

Skew Examples: (Look where floor meets wall in back of room, now look where two walls meet near door.) y This line is in back z x This line is in front The red and green lines will never touch.

Congruent Examples:

Theorem Example: A2+B2=C2 Can be proven to be true.

Conjecture Form an opinion or supposition about (something) on the basis of incomplete information. Example: It rained three days in a row, it more than likely will rain again today.

Acute . 89⁰ 78⁰

Right . 90⁰

Obtuse . 35⁰ 133⁰

Theorem An idea that has been demonstrated as true or is assumed to be true. Example: Pythagorean triples; A2 + B2 = C2 32 + 42 = 52 9 + 16 = 25 25 = 25 True

Congruent The same shape and size.

Complementary Angles 1 + 2 = 90⁰ 1 2 1 2

Supplementary Angles 1 + 2 = 180⁰ 1 2 2 1

Vertical Angles 1 = 3 AND 2 = 4 2 3 1 4

Adjacent Angles .

Linear Pair .

Segment Bisector Cuts segment in half c a b d

Angle Bisector

Perpendicular Bisector .