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64 Cards in this Set
- Front
- Back
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RIGHT ANGLE
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90 degree angle
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ACUTE ANGLE
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less than 90 degrees
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OBTUSE ANGLE
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greater than 90 degrees
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SUPPLEMENTARY ANGLES
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together = 180 degrees
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VERTEX
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Point at which two lines meet
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VERTICAL ANGLES
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directly across and equal
MIRRORED |
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Pythagoreum Theory
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a^2 + b^2 = c^2
Hypotinese = c (longest side) |
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POSTULATE 1
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Through any two points, there is exactly one line.
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POSTULATE 2
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A line contains at least two distinct points
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POSTULATE 3
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Through any three noncollinear points, there is exactly one plane.
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POSTULATE 4
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A plane contains at least three noncollinear points.
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POSTULATE 5
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If two distinct points lie in a plane, then the line joining them lies in that plane.
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POSTULATE 6
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If two distinct planes intersect, then their intersection is a line.
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POSTULATE 7
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on a ruler or number line, you can find the distance between two points by substracting their coordinates and then taking the absolute value.
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m<B=45
How do you read this? |
The measure of < B = 45 degrees.
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What axis is
Vertical Up & down Rise |
Y axis
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What axis is
Horizontal side to side Run |
X- axis
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Points, lines, and planes
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Are UNDEFINED terms
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. A
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A point
has no size |
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AB
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Line
stream of points dimension: LENGTH |
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Collinear
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points that lie on the same line
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Points that do NOT lie on the same line are called?
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noncollinear
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PLANE
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is a flat surface, extends indefinitely in all directions.
Dimensions: LENGTH & WIDTH |
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POSTULATE 6
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If two distinct planes intersect, then their intersection is a LINE
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I-3I =
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absolute value
3 |
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Find the length of the segment
_______________________ 3 4 5 6 |
I 6- 3 I
3 |
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Two segments with the same length are called:
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CONGRUENT
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POSTULATE 8 Segment addition
If point C is between Point A & B then AC + CB = AB |
If PQ + QR = RQ what is RQ
2x -1 3x+5 _______________________ P Q R |
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MIDPOINT
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Midpoint of a segments, is the point that divides the segments into TWO equal parts. MIDDLE MOST
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A segment BISECTOR
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is a segment, ray, line, or plane that INTERSECTS a segment at its MIDPOINT
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MIDPOINT FORMULA
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m = X1 + X2 , Y1 + Y2
2 2 |
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DISTANCE FORMULA
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d = (X2-X1)^2 + (Y2 -Y1)^2
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When you have the midpoint coordinates and one endpoint coordinates and want to find the other ENDPOIT
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M = (X, Y) say (4, 1)
A = (-2,3) 4=-2 + X2 1= 3 + Y2 2 2 Solve for the X2, Y2 |
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Conjectures
always true or not? |
since made from generalizations: may not always be true
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SLOPE = m
m= |
m= Y2 - Y1
X2 - X1 y=mx+b |
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Distance = rate X time
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d=rt
solve for t t= d/r |
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AREA OF A CIRCLE
AREA of SQUARE |
A= pier^2
A= s^2 |
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VOLUME of a RECTANGLE
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V= lwh
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Perimeter of a triangle
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P= a + b +c
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Equation of a line passing through point (x, y)
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y= mx+b
m= slope b= y intercept (when x is 0, y is ?) |
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PERIMETER of a RECTANGLE
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2l +2w =P
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CONDITIONAL
STATEMENTS |
If this........Then that......
If you want to play on SAT. Then you will have to finish your homework |
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HYPOTHESIS
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is the part of the conditional following IF
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CONCLUSION
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is the part of the conditional statement following
THEN.... |
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If a car is a Camero, then it is a Chevy.
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is a Camaro= Hypothesis
then it is a Chevy= Conclusion |
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CONVERSE of a conditional statement takes the hypothesis and the conclusion and interchanges them.
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If a car is a Chevy, then it is a Camaro.
MAY NOT BE True. |
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COUNTER example;
is an example that proves converse statements to be false. |
If a car is a Chevy, then it is a Camaro= is a counter example
Chevys can be corvettes, Malibu etc. |
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When a CONDITIONAL & a CONVERSE statement are TRUE; they are called?
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They are called
BICONDITIONAL STATEMENTS |
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STRAIGHT Angle
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measure is exaclty 180
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PERPENDICULAR
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When two lines form to make right angles
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ANGLE ADDition POSTULATE 9
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If point D is in the interior of <ABC, then m<ABD + <DBC = <ABC
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ANGLE BISECTOR
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the ray that divided the < into two CONGRUENT parts.
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ADJACENT ANGLES
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Two angles that share a side
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LINEAR PAIR
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Two angles that together form a straight angle
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SUPPLEMENTARY ANGLES
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The angles add up to 180 degrees
(BIG supper) |
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COMPLIMENTARY ANGLES
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The angles add up to 90 degrees
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VERTICAL ANGLES
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Two non adjacent angles that are opposite (mirrored) and congruent (equal)
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PARALLEL LINES
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SAME SLOPE
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PERPENDICULAR LINES
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SLOPE IS OPPOSITE RECIPROCAL SLOPE
IF m= 2/5 a Perpendicular line's slope would be -5/2 |
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Corresponding Angles
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Corresponding < 1 , <5
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Alternate Interior Angles
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Alternate Interior <3, <6
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SAME side Interior Angles
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<3, <5
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Alternate Exterior Angles
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<1 , <8
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Same Side Exterior Angles
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<2, <8
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