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78 Cards in this Set
- Front
- Back
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Point |
Represented by a dot. Has no size, marks an exact location in space |
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Line |
Represented by a straight mark with arrows on both ends |
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Plane |
A flat surface, has length & width, but no thickness |
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Collinear |
Describes points that lie on the same line |
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Coplanar |
Describes points that lie in the same plane |
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Segment |
Part of a line consisting of two end points |
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Ray |
Part of a line that begins at an endpoint & extends forever in one direction |
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Endpoint |
The point at the start of a ray or the ends of a segment |
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Opposite rays |
Two rays at the same endpoint to form a line |
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Postulate (axiom) |
A statement we accept as true without proof |
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Congruent |
Exactly the same in size & shape |
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Midpoint |
Points that cuts a segment in two |
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Segment bisector |
Where a segment is cut into two pieces |
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Perimeter |
The total length of the sides of a polygon |
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Regular polygon |
A polygon that is equiangular and equilateral |
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Convex |
No diagonal contains points on the exterior of the polygon |
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Concave |
If any part of a diagonal contains points in the exterior of the polygon |
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Polygon |
A closed plane figure made of 3 or more line segments that only intersect at shared endpoints |
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Perpendicular |
At an angle of 90 |
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Supplementary |
Two angles whose sum is 180 |
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Linear pair |
Adjacent and supplementary angles |
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Complementary |
Two angles whose sum is 90 |
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Vertical angles |
Each of the pairs of opposite angles made by two intersecting lines |
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Adjacent angles |
Two angles that share a common vertex and side |
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Inductive reasoning |
Process of reasoning that a rule or statement is true because specific cases are true |
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Conjecture |
A statement that is believed as true |
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Counter example |
An example that proves that a conjecture or statement is false |
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Angle bisector |
A line or ray that splits an angle into two congruent angles |
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Vertex |
Each angular point of a polygon |
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Angle |
Figure formed by two rays with a common endpoint |
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Theorem |
Statement that has been proven |
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Proof |
Argument that uses logic to show that a conclusion is true |
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Conditional statement |
A statement that can be written in " if p then q" |
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Hypothesis |
Part of a conditional statement following the word if |
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Conclusion |
Part of a conditional statement that follows then |
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Negation |
Statement p's opposite, ~p |
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Converse |
Switches the hypothesis and the conclusion, q • p |
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Inverse |
Formed by negating the hypothesis and conclusion |
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Contrapositive |
Exchange and negate the hypothesis and conclusion |
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Compound statement |
Two statements that are connected by and or or |
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Conjunction |
Compound statement that uses the word and |
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Disjunction |
A compound statement that uses the word or |
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Slope-intercept form |
Y = mx + b, where m is slope and b is the y-intercept |
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Slope |
Measure of the steepness of a line |
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Corresponding |
A pair of angles that lie on the same side of the transversal and the two lines |
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Alternate exterior |
Angles that lie on the opposite sides of the transversal and outside the two lines |
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Alternate interior |
Lie on the opposite of the transversal and between the two lines |
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Consecutive interior/ same-side interior |
Lie on the same side of the transversal and between the two lines |
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Transversal |
A line that intersects two coplanar lines at two different points |
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Skew |
Lines that are not coplanar |
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Parallel |
Lines in the planes that do not intersect |
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Acute triangle |
A triangle with 3 acute angles |
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Obtuse triangle |
A triangle with 1 obtuse angle |
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Right triangle |
A triangle with 1 right angle |
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Equiangular triangle |
A triangle with 3 congruent angles |
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Scalene triangle |
A triangle with no congruent sudes |
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Vertex angle |
The common endpoint of two or more rays or line segments |
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Base angle |
The side of a triangle from which the height is constructed |
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Midsegment |
A segment connecting the midpoints of two sides of a triangle |
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Ratio |
A relationship between two quantities |
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Proportional |
The relationship between two things when they are equal in ratios |
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Cross products |
Two equal products obtained by multiplying the second term to the first term |
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Similar polygon |
Two polygons whose corresponding angles are congruent and corresponding sides are proportional |
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Scale factor |
The ratio of any corresponding lengths in two figures |
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Point of concurrency |
A point where three lines intersect |
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Circumcenter |
The point of concurrency of perpendicular bisectors |
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Incenter |
Point of concurrency of the angle bisectors |
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Perpendicular bisector |
A line that divides a segment into equal parts and creates a right angle |
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Geometric mean |
In a geometric sequence, a term that comes between two given nonconsecutive terms of the sequence |
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Pythagorean Triple |
A set of three nonzero whole numbers a,b, and c such as a2 + b2 = c2 |
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Trigonometry ratio |
A ratio of two sides of a right triangle |
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Trigonometry |
The study of the measurement of triangles and trigonometric functions and their applications |
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Trigonometry |
The study of the measurement of triangles and trigonometric functions and their applications |
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Sine |
In a right triangle, the ratio of the length of the leg opposite angle A to the length of the hypotenuse |
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Cosine |
In a right triangle, the cosine of angle A is the ratio of the length of the leg adjacent to angle A to the length of the hypotenuse |
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Tangent of an angle |
In a right triangle, the ratio of the length of the opposite angle A to the length of the leg adjacent to angle A |
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Angle of depression |
The angle formed by a horizontal line and a line of sight to a point below |
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Angle of elevation |
The angle formed by a horizontal line and a line of sight to a point above |
