# Study sets matching "discovering geometry"

Study sets

Diagrams

Classes

Users

right triangle

acute triangle

obtuse triangle

scalene triangle

a triangle with exactly 1 right angle

a triangle with 3 acute angles

a triangle with exactly 1 obtuse angle

a triangle with no congruent sides

right triangle

a triangle with exactly 1 right angle

acute triangle

a triangle with 3 acute angles

classify

differentiate

test

parallel lines

first thing a good definition does

second thing a good definition does

look for a counterexample to a proposed definition

COPLANAR lines that never intersect

classify

first thing a good definition does

differentiate

second thing a good definition does

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal p…

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal p…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal p…

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal p…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal p…

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal p…

Inductive reasoning

conjecture

postulate

deductive reasoning

the process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

a statement accepted without proof, because it cannot be dispr…

process of showing that certain statements follow logically fr…

Inductive reasoning

the process of observing data, recognizing patterns, and makin…

conjecture

A generalization resulting from inductive reasoning.

Inductive Reasoning

Conjecture

Function Rule

Linear Function

The process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

A rule that, when applied to one set of numbers, generates ano…

A function rule that, when applied to consecutive whole number…

Inductive Reasoning

The process of observing data, recognizing patterns, and makin…

Conjecture

A generalization resulting from inductive reasoning.

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segments…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Inductive Reasoning

Conjecture

Function Rule

Linear Function

The process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

A rule that, when applied to one set of numbers, generates ano…

A function rule that, when applied to consecutive whole number…

Inductive Reasoning

The process of observing data, recognizing patterns, and makin…

Conjecture

A generalization resulting from inductive reasoning.

counterexample

classify and differentiate

perpendicular

parallel

An example that shows a conjecture tone incorrect or a definit…

Defining a term by categorizing it, then distinguishing it fro…

Lines are perpendicular if they meet at 90 degree angles. Line…

Lines are parallel if they lie in the same plane and do not in…

counterexample

An example that shows a conjecture tone incorrect or a definit…

classify and differentiate

Defining a term by categorizing it, then distinguishing it fro…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segments…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Linear Pair Conjecture

Vertical Angles Conjecture

Corresponding Angles Conjecture

Alternate Interior Angles Conjecture, o…

If two angles form a linear pair, then the measures of the ang…

If two angles are vertical angles, then they are congruent (ha…

If two parallel lines are cut by a transversal, then correspon…

If two parallel lines are cut by a transversal, then alternate…

Linear Pair Conjecture

If two angles form a linear pair, then the measures of the ang…

Vertical Angles Conjecture

If two angles are vertical angles, then they are congruent (ha…

Inductive reasoning

conjecture

postulate

deductive reasoning

the process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

a statement accepted without proof, because it cannot be dispr…

A type of reasoning that uses logic, facts, and information to…

Inductive reasoning

the process of observing data, recognizing patterns, and makin…

conjecture

A generalization resulting from inductive reasoning.

Conjecture A

Conjecture C

Pyramid-Cone Volume Conjecture

Sphere Volume Conjecture

If B is the area of the base of a right rectangular prism and…

The volume of an oblique prism (or cylinder) is the same as th…

V=(1/3)BH... Where B = base area and H = height of object

V=(4/3)πr^3

Conjecture A

If B is the area of the base of a right rectangular prism and…

Conjecture C

The volume of an oblique prism (or cylinder) is the same as th…

Base angles (of a trapezoid)

Exterior angle (of a polygon)

Isosceles trapezoid

Midsegment (of a trapezoid)

A pair of angles with a base of the trapezoid as a common side

An angle that forms a linear pair with one of the interior ang…

A trapezoid whose two nonparallel sides are congruent

The line segment connecting the midpoints of the two nonparall…

Base angles (of a trapezoid)

A pair of angles with a base of the trapezoid as a common side

Exterior angle (of a polygon)

An angle that forms a linear pair with one of the interior ang…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A segment that has many perpendiculars and many bisectors, but…

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A segment that has many perpendiculars and many bisectors, but…

altitude of a triangle

median

midsegment

perpendicular bisector conjecture

distance from a vertex to the opposite side or the extension o…

segment from a vertex to the midpoint of the opposite side of…

segment connecting two midpoints of the sides of a triangle

all points on the perpendicular bisector are equidistant from…

altitude of a triangle

distance from a vertex to the opposite side or the extension o…

median

segment from a vertex to the midpoint of the opposite side of…

dilation

enlargement

scale factor

reduction

A non-rigid transformation that enlarges or reduces a geometri…

A dilation in which the amount increases by a scale factor gre…

The ratio of corresponding lengths in similar figures. (pg. 37…

A dilation in which the amount is decreased by a scale factor…

dilation

A non-rigid transformation that enlarges or reduces a geometri…

enlargement

A dilation in which the amount increases by a scale factor gre…

Triangle Sum Conjecture

Legs of an Isosceles Triangle

Isosceles Triangle Conjecture

Adjacent interior angle

The sum of the measures of the angles in every triangle is 180°

The two sides of an isosceles triangle that are not the base.

If a triangle is isosceles, then its base angles are congruent

The interior angle that forms a linear pair with a given exter…

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Legs of an Isosceles Triangle

The two sides of an isosceles triangle that are not the base.

inductive reasoning

deductive reasoning

Overlapping Segments Conjecture

Overlapping Angles Conjecture

reasoning based on a pattern

reasoning based on logical argument

AC = BD

measure angle APD = measure angle CPD

inductive reasoning

reasoning based on a pattern

deductive reasoning

reasoning based on logical argument

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segments…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Triangle Sum Conjecture

Auxiliary line

Legs of an Isosceles Triangle

Isosceles Triangle Conjecture

The sum of the measures of the angles in every triangle is 180°

An extra line or segment that helps with a proof

The two sides of an isosceles triangle that are not the base.

If a triangle is isosceles, then its base angles are congruent

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Auxiliary line

An extra line or segment that helps with a proof

trapezoid

kite

parallelogram

rhombus

A quadrilateral with exactly one pair of parallel sides.

A quadrilateral with exactly two distinct pairs of congruent c…

A quadrilateral in which both pairs of opposite sides are para…

An equilateral parallelogram

trapezoid

A quadrilateral with exactly one pair of parallel sides.

kite

A quadrilateral with exactly two distinct pairs of congruent c…