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| It has no dimension, is a location on a plane and is represented by a dot. |
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| It has one dimension and is an infinite set of points that extends in two directions without end. |
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| It has two dimensions extending without end. it is often represented by a parallelogram. |
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| It consists of two endpoints and all the points between them. |
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| It has one endpoint and extends without end in one direction. |
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How would you say...
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How would you say...
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How would you say...
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How do you say...
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Is similar to
(talking about figures)
-or-
Not
(talking about logical arguments) |
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How do you say...
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How do you say...
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How do you say...
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How do you say...
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| implies that If..., then.... |
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How do you say...
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If and only if
(Biconditional Statement)
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How do you say...
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If and only if
(Biconditional) |
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How do you say...
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How do you say...
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How do you say...
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How do you say...
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How do you say...
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How do you say...
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How do you say...
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a logical argument consisting of
a set of premises,
hypothesis (p), and conclusion (q) |
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Definition
Conditional Statement
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formed by interchanging the hypothesis and conclusion of a conditional statement |
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formed by negating the hypothesis and conclusion of a conditional statement |
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formed by interchanging and negating the hypothesis and conclusion of a conditional statement |
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| method using logic to draw conclusions based upon definitions, postulates, and theorems |
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| Method of drawing conclusions from a limited set of observations. An example would be given a pattern, determining the rule for the pattern. |
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| A justification logically valid and based on initial assumptions, definitions, postulates, and theorems. |
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What property is being used...
For all angles A, ÐA @ÐA.
An angle is congruent to itself. |
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Definition
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What property is being used...
For any angles A and B,
If ÐA @ÐB, then ÐB @ÐA . |
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Definition
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What property is being used...
For any angles A, B, and C,
If ÐA @ÐB and ÐB @ÐC, then ÐA @ÐC. |
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| deductive reasoning stating that if the hypothesis of a true conditional statement is true, then the conclusion is also true |
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Definition
Law of Detachment
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deductive reasoning that draws a new conclusion from two conditional statements when the conclusion of one is the hypothesis of the other.
If p®q and q®r are true conditional statements, then p®r is true. |
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| specific case for which a conjecture is false |
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Definition
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| a law of deductive reasoning that states that a conclusion is false, therefore the hypothesis must also be false. |
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Definition
Law of Contrapositive
Given: The statement "If a, then b" is true
Given: b is not true
Therefore, a is also not true
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| two lines that intersect to form a right angle |
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Definition
Perpendicular lines
[image]
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| Lines that do not intersect and are coplanar |
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Definition
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| lines that do not intersect and are not coplanar |
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Definition
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| a line that intersects at least two other lines |
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Definition
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| angles in matching positions when a transversal crosses at least two lines |
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Definition
Corresponding Angles
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| angles inside the lines and on opposite sides of the transversal |
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Definition
Alternate Interior Angles
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| angles outside the two lines and on opposite sides of the transversal |
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Definition
Alternate Exterior Angles
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| angles between the two lines and on the same side of the transversal |
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Definition
Consecutive Interior Angles
-or-
Same Side Interior Angles
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| angles outside of the two lines and on the same side of the transversal |
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Definition
Consecutive Exterior Angles
-or-
Same Side Exterior Angles
[image] |
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| What angle relationships can be used to prove that two lines are parallel? List all. |
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Definition
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| a point that divides a segment into two congruent segments |
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Definition
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| What is the midpoint formula? |
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Definition
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| ratio of vertical change (rise) to horizontal change (run) |
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Definition
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| What is the slope formula? |
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Definition
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Term
| Parallel lines have _________ slope. |
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Definition
| Parallel lines have the same slope. |
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Term
Perpendicular lines have slopes that are __________.
The product of the perpendicular slopes is ____. |
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Definition
Perpendicular lines have slopes that are negative reciprocals of each other.
The product of the perpendicular slopes is -1. |
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| Vertical lines have _____ slope. |
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Definition
| Vertical lines have undefined slope. |
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| Horizontal lines have ___ slope. |
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Definition
| Horizontal lines have zero slope. |
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What type of symmetry do these shapes have?
[image] |
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Definition
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What type of symmetry do these figures have?
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Definition
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| An image that has been spun around a point |
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Definition
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What Transformation has been shown?
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Definition
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What transformation has been shown?
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Definition
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What transformation is shown?
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Definition
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| a segment, ray, line, or plane that is perpendicular to a segment at its midpoint |
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Definition
Perpendicular Bisector
[image]
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| How would you construct a congruent segment? |
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Definition
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| How would you construct a perpendicular bisector? |
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Definition
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| How would you construct a perpendicular line to a point not on the line? |
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Definition
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| How would you construct a perpendicular to a line from a point on the line? |
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Definition
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| How would you construct an angle bisector? |
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Definition
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| How would you construct a congruent angle? |
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Definition
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| How would you construct a parallel line? |
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Definition
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| How would you construct an equilateral triangle inscribed in a circle? |
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Definition
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| How would you construct a square inscribed in a circle? |
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Definition
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| How would you construct a hexagon inscribed in a circle? |
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Definition
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| How would you inscribe a circle on a triangle? |
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Definition
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How would you circumscribe a circle on a triangle?
(This means that given a triangle, how would you construct a circle such that the triangle is inscribed in the circle.) |
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Definition
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| How would you construct a line tangent to a circle that intersects a given point? |
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Definition
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| A triangle that has no congruent sides and no congruent angles. |
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Definition
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A triangle that has at least 2 congruent sides.
It has 2 or 3 congruent angles. |
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Definition
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| 3 congruent sides and 3 congruent angles |
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Definition
Equilateral Triangle
all equilateral triangles are also iscosceles |
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Definition
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| A triangle that has 1 right angle |
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Definition
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| A triangle with 1 obtuse angle |
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Definition
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