#### Study sets matching "geometry set"

#### Study sets matching "geometry set"

Construct

Classifying Triangles

Acute Triangle

Right Triangle

A tangent from a point outside a given circle to the circle

All equilateral triangles are isosceles

Three angles, each less than 90 degrees

One angle equals 90 segrees

Construct

A tangent from a point outside a given circle to the circle

Classifying Triangles

All equilateral triangles are isosceles

Skew Lines

Transversal

Corresponding Angles

Alternate Interior Angles

Lines that do not intersect and are not coplanar

A line that intersects at least two other lines

Matching positions when a transversal crosses at least two li…

Angles inside the lines and on opposite sides of the transver…

Skew Lines

Lines that do not intersect and are not coplanar

Transversal

A line that intersects at least two other lines

Lines and Circles

Secant

Tangent

Central Angle

Secant - a line that intersects a circle in two points... Tangen…

If two lines intersect in the interior of a circle, then the…

A line is tangent to a circle if and only if the line is perp…

An angle whose vertex is the center of the circle

Lines and Circles

Secant - a line that intersects a circle in two points... Tangen…

Secant

If two lines intersect in the interior of a circle, then the…

Point

Line

Plane

Line Segment

Has no dimension; It is a location on a plane.It is represent…

Has one dimension; It is an infinite set of points represente…

Has two dimensions extending without end; It is often represe…

Consists of two endpoints and all the points between them

Point

Has no dimension; It is a location on a plane.It is represent…

Line

Has one dimension; It is an infinite set of points represente…

plane

Opposite rays

plane

line

Is represented by a flat surface that extends without end and…

Two rays that share the same endpoint and form a line

Is represented by a flat surface that extends without end and…

Is represented by a straight path that extends in two opposit…

plane

Is represented by a flat surface that extends without end and…

Opposite rays

Two rays that share the same endpoint and form a line

Linear Pair Angles

Linear Pair Theorem

Vertical Angle Theorem

Supplementary Angles

Adjacent angles whose non adjacent sides are opposite rays.

Linear pair angles are supplementary

If two angles are Vertical then they are Congruent

Two angles whose measures have the sum of 180 degrees.

Linear Pair Angles

Adjacent angles whose non adjacent sides are opposite rays.

Linear Pair Theorem

Linear pair angles are supplementary

Line of Symmetry and Line of Reflection

Magnitude of Rotation

Rotation

Magnitude

The line l is known as the ____________________.

A square has rotational symmetry of order 4. This means that…

The transformation that occurs when lines m and n are interse…

Translations can be accomplished by using a vector. Vectors a…

Line of Symmetry and Line of Reflection

The line l is known as the ____________________.

Magnitude of Rotation

A square has rotational symmetry of order 4. This means that…

Trapezoid

Exterior Angles

Interior Angles

Alternate Interior Angles

A quadrilateral with a pair of opposite sides parallel is cal…

The angles 1 and 8 are _________________________

The angles 2 and 6 are

The angles 2 and 5 are

Trapezoid

A quadrilateral with a pair of opposite sides parallel is cal…

Exterior Angles

The angles 1 and 8 are _________________________

Parallel lines

Skew lines

Parallel planes

Transversal

Two lines are parallel lines if they do not intersect and are…

Two lines are skew lines if they do not intersect and are not…

Two planes that do not intersect are parallel planes.

A transversal is a line that intersects two or more coplanar…

Parallel lines

Two lines are parallel lines if they do not intersect and are…

Skew lines

Two lines are skew lines if they do not intersect and are not…

Line

Point

Collinear Points

Noncollinear Points

This has length but no width or depth and goes on forever in…

This has no length, width, or depth.

These are points that lie on the same line.

Points that do not lie on the same line.

Line

This has length but no width or depth and goes on forever in…

Point

This has no length, width, or depth.

parallel lines

transversal

vertical angles

alternate interior angles

lines in the same plane that never intersect

a line that intersects two or more lines

A pair of opposite congruent angles formed by intersecting li…

A pair of angles within parallel lines and on opposite sides…

parallel lines

lines in the same plane that never intersect

transversal

a line that intersects two or more lines

point

line

line segment

ray

an exact location in space

an endless collection of points along a straight path

part of a line that has two endpoints

part of a line that has one endpoint and extends endlessly in…

point

an exact location in space

line

an endless collection of points along a straight path

point

line

segment

ray

A point in geometry is a location.

A line is a straight one-dimensional figure having no thickne…

The part of a line that connects two points. It has definite…

A line with a start point but no end point (it goes to infini…

point

A point in geometry is a location.

line

A line is a straight one-dimensional figure having no thickne…

coplanar

collinear

vertical angles

supplementary angles

lying in the same plane

points that lie on the same line

2 angles made up of 2 lines that intersect; made of opposite…

angles that add to 180 degrees

coplanar

lying in the same plane

collinear

points that lie on the same line

Exterior Angles

Interior Angles

Alternate Interior Angles

Perpendicular Bisector

The angles 1 and 8 are _________________________

The angles 2 and 6 are

The angles 2 and 5 are

What figure is being constructed?

Exterior Angles

The angles 1 and 8 are _________________________

Interior Angles

The angles 2 and 6 are

If-then Statement

Inverse

Complementary Angles

Circumcenter

The statement, If an angle is acute, then it has a measure be…

Consider this statement: If today is Monday, then my dad has…

Two angles with measures that have a sum of 90 are__________.

The point of concurrency of the perpendicular bisectors of a…

If-then Statement

The statement, If an angle is acute, then it has a measure be…

Inverse

Consider this statement: If today is Monday, then my dad has…

Auxiliary Figure

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

a point, segment, ray, or line added to a figure to help with…

a triangle with no equal sides

a triangle with at least 2 equal sides

a triangle in which all 3 sides are equal

Auxiliary Figure

a point, segment, ray, or line added to a figure to help with…

Scalene Triangle

a triangle with no equal sides

Distance Formula

Complementary Angles

Perpendicular

Supplementary Angles

Formula based on the Pythagorean Theorem

Two angles whose measures sum to 90.

When two lines, segments or rays intersect at a right angle

Two angles whose measure sums to 180

Distance Formula

Formula based on the Pythagorean Theorem

Complementary Angles

Two angles whose measures sum to 90.

Midpoint

Angle Bisector

Congruent

Magnitude

When you construct a perpendicular bisector of a segment, you…

A ray that divides an angle into two congruent angles is call…

If two angles, shapes or lines are equal in degree, length, a…

Translations can be accomplished by using a vector. Vectors a…

Midpoint

When you construct a perpendicular bisector of a segment, you…

Angle Bisector

A ray that divides an angle into two congruent angles is call…

Betweeness of Points

Betweeness of Rays

Acute Angle

Obtuse Angle

A point is between 2 other points on a number line iff it's c…

A ray is between 2 other rays iff its coordinate is between t…

An angle with a measure greater than 0 and less than 90

An angle with a measure greater than 90 and less than 180

Betweeness of Points

A point is between 2 other points on a number line iff it's c…

Betweeness of Rays

A ray is between 2 other rays iff its coordinate is between t…

Conjecture

Inductive Reasoning

Counterexample

Point

A guess based on observations (Hypothesis)

Looking at patterns and making observations

A case that shows a statement is false

An exact location in space... *A

Conjecture

A guess based on observations (Hypothesis)

Inductive Reasoning

Looking at patterns and making observations

If-then Statement

Inverse

Complementary Angles

Circumcenter

The statement, If an angle is acute, then it has a measure be…

Consider this statement: If today is Monday, then my dad has…

Two angles with measures that have a sum of 90 are__________.

The point of concurrency of the perpendicular bisectors of a…

If-then Statement

The statement, If an angle is acute, then it has a measure be…

Inverse

Consider this statement: If today is Monday, then my dad has…

Distance Formula

perpendicular

complementary angles

rotation

Formula based on Pythagorean Theorem

Two lines that intersect at right angles

Two angles whose measures sum to 90

A transformation that turns a figure about a fixed point

Distance Formula

Formula based on Pythagorean Theorem

perpendicular

Two lines that intersect at right angles

Definition of Congruence... (Def. Con)

Addition Property of Equality ... (APOE)

Subtraction Property of Equality ... (SPOE)

Multiplication Property of Equality ... (…

~Two figures are congruent iff they are equal in measure... -Rea…

If a = b, then a + c = b + c... Adding the same number to each s…

If a = b, then a - c = b - c... -Subtracting the same number to…

if a=b, then ca=cb... -multiplying both sides of an equation by…

Definition of Congruence... (Def. Con)

~Two figures are congruent iff they are equal in measure... -Rea…

Addition Property of Equality ... (APOE)

If a = b, then a + c = b + c... Adding the same number to each s…

Point

Endpoints

Line

Plane

a point refers usually to an element of some set called a spa…

The endpoints of a line segment are just the 'points' located…

A line is a straight one-dimensional figure having no thickne…

A plane is the two-dimensional analogue of a point, a line an…

Point

a point refers usually to an element of some set called a spa…

Endpoints

The endpoints of a line segment are just the 'points' located…

Addition postulate

subtraction postulate

division postulate

reflexive postulate

if equals are added to equals, their sums are equal

if equals are subtracted from equals, their sums are equal

halves are equal are equal

a=a

Addition postulate

if equals are added to equals, their sums are equal

subtraction postulate

if equals are subtracted from equals, their sums are equal

180 degrees

Right Triangle

Acute Triangle

Obtuse Triangle

The sum of the degrees in a triangle

A triangle that has one 90 degree angle

A triangle that has all angles less than 90 degrees

A triangle that has one angle greater than 90 degrees

180 degrees

The sum of the degrees in a triangle

Right Triangle

A triangle that has one 90 degree angle

right angle

acute angle

obtuse angle

parallel lines

an angle with exactly 90 degrees

an angle with less than 90 degrees

an angle with more than 90 degrees

lines that run next to each other but never touch

right angle

an angle with exactly 90 degrees

acute angle

an angle with less than 90 degrees

geometry

figure

characteristics

length

Math that deals with points, lines, and shapes.

A fancy word for "shape".

A feature or detail that describes something. (For example, a…

The distance from one end of a line to the other end.

geometry

Math that deals with points, lines, and shapes.

figure

A fancy word for "shape".

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented b…

A line is a straight path that has no thickness and extends f…

A plane is a flat surface that has no thickness and extends f…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented b…

Line

A line is a straight path that has no thickness and extends f…

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.

ASA Postulate

SAS Postulate

SSS Postulate

AAA Postulate

Congruent Angle + Congruent Included Side + Congruent Angle

Congruent Side + Congruent Included Angle + Congruent Side

Congruent Side + Congruent Side + Congruent Side

Does not determine if a triangle is congruent

ASA Postulate

Congruent Angle + Congruent Included Side + Congruent Angle

SAS Postulate

Congruent Side + Congruent Included Angle + Congruent Side

Complementary Angles

Supplementary Angles

Congruent

Parallel lines

Two angles that have a sum of 90 degrees

Two angles that have a sum of 180 degrees

Same size and shape

Two line in the same plane that do not intersect.

Complementary Angles

Two angles that have a sum of 90 degrees

Supplementary Angles

Two angles that have a sum of 180 degrees

acute triangle

isosceles triangle

quadrilateral

triangle

A triangle that has only acute angles.

A triangle with two or more congruent sides.

A polygon with four sides.

A polygon with three sides.

acute triangle

A triangle that has only acute angles.

isosceles triangle

A triangle with two or more congruent sides.

endpoint

vertex

ray

degree

The point at either end of a line segment; also, the point at…

The point at which the rays of an angle or two sides of a pol…

A straight line that extends infinitely from an endpoint.

A unit of measure for angles.

endpoint

The point at either end of a line segment; also, the point at…

vertex

The point at which the rays of an angle or two sides of a pol…

Exterior Angles

Interior Angles

Alternate Interior Angles

Perpendicular Bisector

The angles 1 and 8 are _________________________

The angles 2 and 6 are

The angles 2 and 5 are

What figure is being constructed?

Exterior Angles

The angles 1 and 8 are _________________________

Interior Angles

The angles 2 and 6 are