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Algebra Practice- (x to the second power +9=6x |
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(not a definition but a description) _No size -Represented by a dot and a capital letter |
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Algebra Practice- Solve this system of equations- {2x-5y=14} {x-y=1} |
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(not a definition but a description) -no thickness or width -length only (straight) -extends forever -contains infinite points |
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Collinear (hint look for a word inside the word) |
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two or more points on the same line |
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Coplanar (hint: look in the word) |
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3 points in the same plane |
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2 ways to represent this line- (arrow).-----.(arrow) A B A B |
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1. (arrow)--(arrow) 2. (arrow)--(arrow) AB BA |
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Another way to represent a line: |
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(arrow)---------(arrow) t (a line with a lowercase letter underneath) |
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(not a definition but a description) -Length and width only -determined by any two points -extends without ending |
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A way to represent a plane (draw one) |
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A four sided figure and a capital letter inside |
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Where objects meet or cross in a point |
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Where do a line and a plane intersect? |
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In either a line or a point |
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Where do a line and a plane intersect? |
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In either a line or a point |
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When do two planes intersect? |
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Points A and C and all points in between .--------. A C |
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How are segments represented? |
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One endpoint (A) extends through (B) and beyond .------.-(arrow) A B |
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How are ray's represented? |
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Have the same endpoints but extend in opposite directions (arrow)--.---.---.(arrow C A B --(arrow) --(arrow) AB and BC |
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(arrow)---I-I-I-I-I-I-I(arrow) A 0 B -3 3 3- (-3) = 6 which = AC right endpoint minus left endpoint |
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Have equal lengths 2" 2" .----. .----. s t u v -- ~ -- ST = UV |
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A symbol that divides a segment into 2 congruent symbols .---/---.---/---. O M S --- ~ --- OM = MS |
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A line, segment, ray, or plane that intersects a segment at it's midpoint |
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(not as important) Numbers on a number line are in a one to one correspondence with points on any line |
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SEGMENT ADDITION POSTULATE |
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IF A-B-C THEN SEGMENT AB ADDED TO SEGMENT BC IS CONGRUENT TO SEGMENT AC --- --- AB + BC .-----.-----. A B C |
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COORDINATE GEOMETRY- Given A-B-C the coordinate of C is 10, the coordinate of A is 2 AB=AC (draw and label a diagram) |
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AC= 8 AB= 4 BC=4 Coordinate of B= 6 |
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Given S-T-U, SU= 12 ST= x + 4 TU= 3x-1 x is a real number (draw a diagram and label all parts including x) |
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x=2 1/4 ST= 6 1/4 TU= 5 3/4 |
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Given G-H-I, GH= 3x+6, HI= 2x(squared) -5x GI= 10 (draw a diagram and give GH and HI |
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2 rays with a common endpoint |
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In an angle what makes the sides? |
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In an angle what makes the vertex? |
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Divides an angle into 2 ~ Angles = |
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(not as important) For every angle, there is a unique measure between 0 degrees and 180 degrees |
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measures between 90 degrees and 180 degrees |
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Have a common side and a common vertex but not common interior points |
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ANGLE ADC + ANGLE CDB ~ ADB = |
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