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 .