#### Study sets matching "geo geometry"

#### Study sets matching "geo geometry"

Undefined terms

Point

Line

Plane

Words that are not explained by using more basic words. The b…

A location. (This is an undefined term.)

A collection of point, with no thickness, that extends foreve…

A flat surface, with no thickness, that extends forever in al…

Undefined terms

Words that are not explained by using more basic words. The b…

Point

A location. (This is an undefined term.)

Undefined terms

Point

Line

Plane

Words that are not explained by using more basic words. The b…

A location. (This is an undefined term.)

A collection of point, with no thickness, that extends foreve…

A flat surface, with no thickness, that extends forever in al…

Undefined terms

Words that are not explained by using more basic words. The b…

Point

A location. (This is an undefined term.)

space

points

line

collinear points

the set of all points

location in space with no size, represented by a dot and a le…

series of points that extends in both directions without end

points that lie on the same line

space

the set of all points

points

location in space with no size, represented by a dot and a le…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

planes that do not intersect.

A line that intersects two or more coplanar lines at two diff…

Parallel Lines

coplanar lines that do not intersect.

Skew Lines

Lines that do not intersect and are not coplanar.

Circle

Pi (π)

Radius

Radii

A shape consisting of those points in a plane which are equid…

The ratio of the circumference to the diameter of a circle.

A line from the center of the circle of the circle to any poi…

more than 1 radius.

Circle

A shape consisting of those points in a plane which are equid…

Pi (π)

The ratio of the circumference to the diameter of a circle.

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

Angles that lie on the same side of the traversal and in corr…

Interior angles that lie on the same side of the transversal.…

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

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, bu…

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

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

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, bu…

point

line

plane

line segment

An undefined term in geometry, it names a location and has no…

An undefined term in geometry, a line is a straight path that…

An undefined term in geometry, it is a flat surface that has…

A part of a line consisting of two endpoints and all points b…

point

An undefined term in geometry, it names a location and has no…

line

An undefined term in geometry, a line is a straight path that…

alternate interior angles

same-side interior angles

transversal

Corresponding Angles Postulate

angles between 2 lines and on opposite sides of a transversal

two interior angles on the same side of the transversal

a line that intersects two or more coplanar lines at differen…

If a transversal intersects two parallel lines, then correspo…

alternate interior angles

angles between 2 lines and on opposite sides of a transversal

same-side interior angles

two interior angles on the same side of the transversal

Definition of Midpoint of a line segment

If M is the midpoint of AB, then

Definition of Segment Bisector

Definition of Angle Bisector

a point of that line segment that divides the segment into tw…

AM = ½AB and MB = ½AB

any line, or subset of a line, that intersects the segment at…

a ray whose endpoint is the vertex of the angle, and that div…

Definition of Midpoint of a line segment

a point of that line segment that divides the segment into tw…

If M is the midpoint of AB, then

AM = ½AB and MB = ½AB

Isosceles triangle

Side-side-side congruence postulate

Scalene Triangle

Midpoint of a segment

a triangle with at least two congruent sides

If the sides of one triangle are congruent to the sides of a…

a triangle with no congruent sides

The halfway point between two end points of a segment

Isosceles triangle

a triangle with at least two congruent sides

Side-side-side congruence postulate

If the sides of one triangle are congruent to the sides of a…

adjacent angle

angle bisector

collinear

complementary angles

Two angles in a plane which share a common vertex and a commo…

A line or ray that divides an angle in half. For polygons, a…

Lying on the same line.

Two acute angles that add up to 90°.

adjacent angle

Two angles in a plane which share a common vertex and a commo…

angle bisector

A line or ray that divides an angle in half. For polygons, a…

corresponding angles

supplementary angles

adjacent angles

complimentary angles

Angles formed by a transversal cutting through 2 or more line…

Angles whose sum is 180 degrees

Angles that have a common side and a common vertex (corner po…

Two angles whose sum is 90 degrees

corresponding angles

Angles formed by a transversal cutting through 2 or more line…

supplementary angles

Angles whose sum is 180 degrees

acute angle

corresponding angle

Cylinder

Diameter

An angle measuring less than 90º.

Angles of separate figures that are in the SAME position with…

A solid figure with a pair of circular, parallel bases and a…

The length across a circle, passing through the center of the…

acute angle

An angle measuring less than 90º.

corresponding angle

Angles of separate figures that are in the SAME position with…

pythagorean triple

trigonometric ratio

tangent

sine

a set of three positive integers a, b, and c that satisfy the…

ratio of the lengths of two sides in a right triangle; used t…

tan θ = opposite/adjacent... ex. tan A = a/b

sin θ = opposite/hypotenuse... ex. sin A = a/c

pythagorean triple

a set of three positive integers a, b, and c that satisfy the…

trigonometric ratio

ratio of the lengths of two sides in a right triangle; used t…

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

Point

Two lines intersect in a _____________…

Plane

Line Segment

A location: It has neither shape nor size

Point

A flat surface made up of points that extends infinitely in a…

Part of a line bounded by two distinct points.

Point

A location: It has neither shape nor size

Two lines intersect in a _____________…

Point

Distance (between two points)

Hypotenuse

Legs (of a right triangle)

Pythagorean Theorem

The length of the line segment between two points

The side opposite the right angle in a right triangle. The ot…

The two sides of a triangle that are not the hypotenuse

The theorem that says that, in a right triangle, the sum of t…

Distance (between two points)

The length of the line segment between two points

Hypotenuse

The side opposite the right angle in a right triangle. The ot…

parallel lines

skew lines

parallel planes

transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Two planes that do not intersect.

A line that intersects two coplanar lines at two distinct poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

Complementary Angles

Supplementary Angles

Vertical Angles

Linear Pair

Two angles whose sum is 90 degrees.

Angles whose sum is 180 degrees.

A pair of opposite congruent angles formed by intersecting li…

A pair of adjacent angles whose non-adjacent sides form oppos…

Complementary Angles

Two angles whose sum is 90 degrees.

Supplementary Angles

Angles whose sum is 180 degrees.

Triangle Sum Conjecture

Auxiliary line

Legs

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 other two sides of an isosceles triangle that are not the…

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

acute angle

adjacent angles

angle obtuse

angle bisector

angle that measures greater than 0º and less than 90º

two angles in the same plane with a common vertex and a commo…

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

two angles in the same plane with a common vertex and a commo…

Perpendicular Bisector

Concurrent Lines

Point of Concurrency

Circumcenter

In a triangle, a line, segment, or ray that passes through th…

Three or more lines that intersect at a common point.

The point of intersection of concurrent lines.

The point of concurrency of the perpendicular bisectors of a…

Perpendicular Bisector

In a triangle, a line, segment, or ray that passes through th…

Concurrent Lines

Three or more lines that intersect at a common point.

actue triangle

Acute Angle

angle

angle bisector

a triangle with all angles less than 90 degrees

Angle measuring less than 90 degrees

formed by two rays that share an endpoint so long as they do…

a ray that shares the vertex of the angle and divides the ang…

actue triangle

a triangle with all angles less than 90 degrees

Acute Angle

Angle measuring less than 90 degrees

opposite reciprocal

circumcenter of a triangle

circumscribed circle

incenter of a triangle

The slope of one perpendicular line is the _____ of the other…

The point of concurrency of the three perpendicular bisectors…

A circle that contains all the vertices of a polygon

The point of concurrency of the three angle bisectors of a tr…

opposite reciprocal

The slope of one perpendicular line is the _____ of the other…

circumcenter of a triangle

The point of concurrency of the three perpendicular bisectors…

Biconditional

Compound statement

conclusion

conjecture

the combination of a conditional statement and its converse.…

combines two or more statements

the part of an if-then statement (conditional) that follows t…

a conclusion reached by using inductive reasoning

Biconditional

the combination of a conditional statement and its converse.…

Compound statement

combines two or more statements

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Equiangular Triangle

A triangle with three congruent sides.

A triangle with at least two congruent sides.

A triangle with no sides congruent.

A triangle with three congruent angles.

Equilateral Triangle

A triangle with three congruent sides.

Isosceles Triangle

A triangle with at least two congruent sides.

Point

line

Ray

Obtuse Angle

an exact location that has no size

A straight, unbroken set of points that goes on forever. It h…

A part of a line, with one endpoint, that continues without e…

An angle that measures more than 90 degrees but less than 180…

Point

an exact location that has no size

line

A straight, unbroken set of points that goes on forever. It h…

base of a parallelogram

height of a parallelogram

base of a triangle

height of a triangle

any side of a parallelogram

perpendicular distance between bases

any side of a triangle

the length of an altitude drawn to a given base

base of a parallelogram

any side of a parallelogram

height of a parallelogram

perpendicular distance between bases

circle

chord

diameter

radius

the set of all points in a plane that are equidistant from a…

a segment whose endpoints are on the circle.

a chord that passes through a center and the other endpoints…

a segment where one endpoint is at the center and the other e…

circle

the set of all points in a plane that are equidistant from a…

chord

a segment whose endpoints are on the circle.

ratio

proportion

similar

scale factor

The ____ of one number to another is the quotient when the fi…

A _____ is an equation stating that two ratios are equal. (ex…

Two polygons are ____ if their vertices can be paired so that…

If two polygons are similar, then the ratio of the lengths of…

ratio

The ____ of one number to another is the quotient when the fi…

proportion

A _____ is an equation stating that two ratios are equal. (ex…

line segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever. Name:…

Straight path that has no thickness and extends forever. Name…

line segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…

adjacent angle

acute angle

angle bisector

angle

Two angles that share a common vertex and side, but have no c…

An angle that has a measure greater than 0⁰ and less than 90⁰

A ray that divides an angle into two angles that are congruent

A set of points consisting of two different rays that... have th…

adjacent angle

Two angles that share a common vertex and side, but have no c…

acute angle

An angle that has a measure greater than 0⁰ and less than 90⁰

point

line

plane

collinear points

no dimension, named with one letter, designated by a dot

one dimension, named with two letters with an arrow over the…

two dimensions, named with three letters, designated by a sha…

points on the same line

point

no dimension, named with one letter, designated by a dot

line

one dimension, named with two letters with an arrow over the…

Transversal

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

A line that intersects two or more coplanar lines at differen…

Two non-adjacent angles that lie on the same side of the tran…

Two non-adjacent angles that lie on the opposite sides of the…

Two non-adjacent angles that lie on the opposite sides of the…

Transversal

A line that intersects two or more coplanar lines at differen…

Corresponding Angles

Two non-adjacent angles that lie on the same side of the tran…

conjecture

counterexample

inductive reasoning

truth value

an educated guess based on known information

an example that shows a conjecture is false. ... EXAMPLE: Someon…

looking at several specific situations to arrive at a conject…

the truth or falsity of a statement (T or F)

conjecture

an educated guess based on known information

counterexample

an example that shows a conjecture is false. ... EXAMPLE: Someon…

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose sum = 90

Two angles whose measure have a sum of 180

A statement that can be proven

Two angles formed by intersecting lines and facing the opposi…

Complementary Angles

Two angles whose sum = 90

Supplementary Angles

Two angles whose measure have a sum of 180

Disc

Right triangular Prism

Oblique Triangular Prism

Right Rectangular Prism

A _____ is the set of all points on a circle and in the inter…

A triangle translated through space in a direction perpendicu…

A slanted triangular prism.

A rectangle translated through space in a direction perpendic…

Disc

A _____ is the set of all points on a circle and in the inter…

Right triangular Prism

A triangle translated through space in a direction perpendicu…

point

line

collinear points

plane

an exact location with no size, only position. It is represen…

a straight continuous arrangement of an infinite number of po…

points located on the same line

a flat surface having infinite length but no width.

point

an exact location with no size, only position. It is represen…

line

a straight continuous arrangement of an infinite number of po…

circle

center

radius

diameter

A round plane figure whose boundary consists of points equidi…

The point inside a circle that is the same distance from ever…

A line segment with one endpoint at the center of a circle an…

A chord that passes through the center of the circle.

circle

A round plane figure whose boundary consists of points equidi…

center

The point inside a circle that is the same distance from ever…

What is a tangent to a circle?

What is the point of tangency?

If a line is tangent to a circle...

If a line in the plane of a circle is…

A line in the plane of the circle that intersects the circle…

The point where the circle and tangent intersect.

then the line is perpendicular to the radius drawn to the poi…

then the line is tangent to the circle.

What is a tangent to a circle?

A line in the plane of the circle that intersects the circle…

What is the point of tangency?

The point where the circle and tangent intersect.