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collinear points

concurrent lines

line segment

ray AB

points that all lie on a single line

three or more lines that intersect at the same point

part of a line with a fixed length and end points

part of a line with one end point A and passing through point B

collinear points

points that all lie on a single line

concurrent lines

three or more lines that intersect at the same point

Vertically opposite angles are...

Angles on a straight line add to...

Isosceles Triangle

Obtuse Angle

equal

180 degrees

Two sides the same length, and two angles the same size

Measures between 90 and 180 degrees

Vertically opposite angles are...

equal

Angles on a straight line add to...

180 degrees

distance between 2 points

slope

midpoint

The slope of a line parallel to the x-…

is the absolute value of the difference of the coordinates of…

the point that divided the segment into two congruent segments

0

distance between 2 points

is the absolute value of the difference of the coordinates of…

slope

Square

Rectangle

Triangle

Right Angle

A _____ is a plane figure with 4 equal sides and 4 right angl…

A Quadrilateral with 4 sides and 4 right angles.... Opposite si…

A polygon with 3 sides and 3 angles.

An angle that is 90 degrees (It makes a square in the corner).

Square

A _____ is a plane figure with 4 equal sides and 4 right angl…

Rectangle

A Quadrilateral with 4 sides and 4 right angles.... Opposite si…

Deductive Reasoning

Inductive Reasoning

Valid

Law Of Detachment

Uses facts, rules, definitions, or proper ties to reach logic…

Something you think will happen based on previous events.

It's reasonable to conclude based on fact.

If p>q is a true conditional statement and p is true, then q…

Deductive Reasoning

Uses facts, rules, definitions, or proper ties to reach logic…

Inductive Reasoning

Something you think will happen based on previous events.

Median

Orthocenter

Circumcenter

Perpendicular Bisector

(In a Triangle) A segment whose endpoints are a vertex of a t…

(of a triangle) is the point where the altitudes of the trian…

The point of concurrency of the perpendicular bisectors.

A line/segment/ray that goes through the midpoint at a 90 deg…

Median

(In a Triangle) A segment whose endpoints are a vertex of a t…

Orthocenter

(of a triangle) is the point where the altitudes of the trian…

isosceles triangle

equilateral triangle

Area of a triangle

Area of a rectangle

2 equal sides and 2 equal angles

3 equal sides and 3 equal angles

base times height divided by 2

length times width

isosceles triangle

2 equal sides and 2 equal angles

equilateral triangle

3 equal sides and 3 equal angles

Polygon Angle Sum Theorem

Polygon Exterior Angle Sum Theorem

Parallelogram

Properties of Parallelograms

The sum of the interior angle measures of a convex polygon wi…

The sum of the exterior angle measures of a convex polygon is…

quadrilateral with 2 pairs of parallel sides

Opposite sides are congruent... Opposite angles are congruent... Co…

Polygon Angle Sum Theorem

The sum of the interior angle measures of a convex polygon wi…

Polygon Exterior Angle Sum Theorem

The sum of the exterior angle measures of a convex polygon is…

Distance between 2 points

Gradient

Midpoint

The slope of a line parallel to the x-…

is the absolute value of the difference of the coordinates of…

the point that divided the segment into two congruent segments

0

Distance between 2 points

is the absolute value of the difference of the coordinates of…

Gradient

Intersection of Two Lines

Angle

Congruent

Perpendicular Lines

The point where two lines intersect . e.g. Point C in diagram

Formed by two rays with the same endpoint.

Having equal measure.

Lines that intersect and form right angles.

Intersection of Two Lines

The point where two lines intersect . e.g. Point C in diagram

Angle

Formed by two rays with the same endpoint.

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

Geometric Mean

Trigonometric Ratios

Inverse Trigonometric Ratios

Area of Triangle

Two positive numbers a and b is the positive number x that sa…

If sin A = x, then sin-1 x = measure of angle A

Geometric Mean

Two positive numbers a and b is the positive number x that sa…

Trigonometric Ratios

Name the Postulate: If B is between A…

Name the Postulate: If point B is in t…

A line contains at least two...

A plane contains at least three...

Segment Addition Postulate

Angle Addition Postulate

points

points

Name the Postulate: If B is between A…

Segment Addition Postulate

Name the Postulate: If point B is in t…

Angle Addition Postulate

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…

acute angle

acute-angled triangle

adjacent angles

alternate angles

an angle that is less than 90 degrees

a triangle with all 3 angles acute

angles that share common side and a common vertex and don't o…

pairs of angles on the opposite side of the transversal and t…

acute angle

an angle that is less than 90 degrees

acute-angled triangle

a triangle with all 3 angles acute

Polygon Angle Sum Theorem

Polygon Exterior Angle Sum Theorem

Parallelogram

Properties of Parallelograms

The sum of the interior angle measures of a convex polygon wi…

The sum of the exterior angle measures of a convex polygon is…

quadrilateral with 2 pairs of parallel sides

Opposite sides are congruent... Opposite angles are congruent... Co…

Polygon Angle Sum Theorem

The sum of the interior angle measures of a convex polygon wi…

Polygon Exterior Angle Sum Theorem

The sum of the exterior angle measures of a convex polygon is…

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…

acute angle

alternate interior angles

angle bisector

apothem

an angle measuring between 0 and 90 degrees

nonadjacent interior angles that lie on opposite sides of the…

a ray that divides an angle into two congruent angles

in a regular polygon, the distance from the center to a side

acute angle

an angle measuring between 0 and 90 degrees

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the…

betweenness

congruent triangles

CPCTC

undefined terms

Somewhere in the interior of the endpoints of a segment

triangles having the same size and the same shape

corresponding parts of congruent triangles are congruent

Point, line, plane

betweenness

Somewhere in the interior of the endpoints of a segment

congruent triangles

triangles having the same size and the same shape

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

quadrilateral

hexagon

midsegment

Two adjacent angles whose noncommon sides are opposite rays.

Any four-sided polygon.

A polygon that has six sides.

A segment with endpoints that are the midpoints of two sides…

linear pair

Two adjacent angles whose noncommon sides are opposite rays.

quadrilateral

Any four-sided polygon.

Geometry

Shape

2D

polygon

type of maths dealing with shapes, lines, and angles

a 2D line around an area

two-dimensional ; shape with only height and width

2D shape with 3 or more sides and angles.... poly (= many) gon…

Geometry

type of maths dealing with shapes, lines, and angles

Shape

a 2D line around an area

isosceles triangle

equilateral triangle

Area of a triangle

Area of a rectangle

2 equal sides and 2 equal angles

3 equal sides and 3 equal angles

base times height divided by 2

length times width

isosceles triangle

2 equal sides and 2 equal angles

equilateral triangle

3 equal sides and 3 equal angles

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…

isosceles triangle

equilateral triangle

Area of a triangle

Area of a rectangle

2 equal sides and 2 equal angles

3 equal sides and 3 equal angles

base times height divided by 2

length times width

isosceles triangle

2 equal sides and 2 equal angles

equilateral triangle

3 equal sides and 3 equal angles

Segment Addition Postulate

Angle Addition Postulate

A line contains....

A plane contains.....

If B is between A and C, then AB + BC= AC

If point B is in the interior of Angle AOC, then the measurem…

at least two points

at least 3 points

Segment Addition Postulate

If B is between A and C, then AB + BC= AC

Angle Addition Postulate

If point B is in the interior of Angle AOC, then the measurem…

Parallelogram

Rhombus

Rectangle

Square

A quadrilateral with both pairs of opposite sides congruent

Parallelogram with four congruent sides

Parallelogram with four right angles

Parallelogram with four congruent sides and four right angles

Parallelogram

A quadrilateral with both pairs of opposite sides congruent

Rhombus

Parallelogram with four congruent sides

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 _________________________