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hard

### line segment/endpoints

Part of a line that consists of two points, called endpoints, and all the points on the line between the endpoints.

### ray

The ray "AB" consists of the endpoint "A" and all points on line "AB" that lie on the same side of "A" as "B."

### distance

The distance between two points "A" and "B," written as "AB," is the absolute value of the difference of the coordinates of "A" and"B."

### inductive reason

the process of finding a pattern for specific cases and then writing a conjecture for the general case.

### if-then-form

a form of a conditional statement in which the "if" part contains the hypothesis and the "then" part contains the conclusion.

### converse

the part of a conditional statement that is formed by negating both the hypothesis and conclusion.

### contra-positive

the part that is formed by writing the converse and then negating both the hypothesis and the conclusion.

### deductive reasoning

using facts, definitions, excepted properties, and laws of logic to form a logical argument.

### line perpendicular to a plane

if, and only if, the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point.

### postulate 11 1/2: (don't ask me how)

through any 3 noncollinear points, there exists exactly one plane

### two-column proof

Has numbered statements and corresponding reasons that show an argument in logical order.

### alternate interior angles

two angles that lie between the two lines and on opposite sides of the transversal

### alternate exterior angles

two angles that lie outside the two lines and on opposite sides of the transversal

### consecutive interior angle

two angles that lie between the two lines and on the same side of the transversal

### postulate 15:

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

### slope-intercept form

the general form of a linear equation in slope-intercept form is 'y=mx+b' where "m" is the slope and "b" is the Y-intercept

### standard form

the general form of a linear equation in standard form is Ax+By=c, where "A" and "B" are not both zero

### interior angles

when the sides of a polygon are extended, the original angles are the interior angles

### exterior angles

when the sides of a polygon are extended, the angles that form linear pairs with the interior angles are the exterior angles

### congruent figures

where all the parts of one figure are congruent to the corresponding parts of the other figure

### corresponding parts

in congruent polygons, the corresponding parts are the corresponding sides and the corresponding angles

### transformation

an operation that moves or changes a geometric figure in some way to produce a new figure

### perpendicular bisector

a segment, ray, line, or plane that is perpendicular to a segment at its midpoint