Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Properties of Parallelograms

Rectangles, squares, and rhombi are all:

Properties of Rectangles

Properties of Squares

1) Opposite sides are congruent... 2) Opposite angles are congrue…

parallelograms so they have all the properties of a parallelog…

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

Properties of Parallelograms

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Rectangles, squares, and rhombi are all:

parallelograms so they have all the properties of a parallelog…

Collinear Points

complementary angles

supplementary angles

exterior angle theorem

points that lie on the same line

have a sum of 90 degrees

have a sum of 180 degrees

in a triangle; two interior angles equal the opposite exterior…

Collinear Points

points that lie on the same line

complementary angles

have a sum of 90 degrees

perpendicular lines

diameters/radii and tangents

corresponding sides of similar triangle…

legs in an isosceles shape are

intersect to form right angles

intersect on a circle to form right angles

in proportion

equal

perpendicular lines

intersect to form right angles

diameters/radii and tangents

intersect on a circle to form right angles

(3,4,5) (5,12,13) (8,15,17) (7,24,25)

Where the perpendicular bisectors inter…

Where the angle bisectors intersect

Where the altitudes intersect

Name 3 Pythagorean triples

What is the circumcenter of a triangle?

What is the incenter of a triangle?

What is the orthocenter of a triangle?

(3,4,5) (5,12,13) (8,15,17) (7,24,25)

Name 3 Pythagorean triples

Where the perpendicular bisectors inter…

What is the circumcenter of a triangle?

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Properties of Parallelograms

Properties of Rectangles

Properties of Squares

Properties of Rhombus

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

Properties of Parallelograms

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Properties of Rectangles

1) Opposite sides are congruent... 2) Opposite angles are congrue…

pythagorean theorem

scalene triangle

isosceles

equilateral

- only used for right triangles ... - c must be the hypotenuse

no congruent sides

2 congruent sides

3 congruent sides

pythagorean theorem

- only used for right triangles ... - c must be the hypotenuse

scalene triangle

no congruent sides

Properties of Parallelograms

Rectangles, squares, and rhombi are all:

Properties of Rectangles

Properties of Squares

1) Opposite sides are congruent... 2) Opposite angles are congrue…

parallelograms so they have all the properties of a parallelog…

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

Properties of Parallelograms

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Rectangles, squares, and rhombi are all:

parallelograms so they have all the properties of a parallelog…

Properties of Parallelograms

Rectangles, squares, and rhombi are all:

Properties of Rectangles

Properties of Squares

1) Opposite sides are congruent... 2) Opposite angles are congrue…

parallelograms so they have all the properties of a parallelog…

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

Properties of Parallelograms

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Rectangles, squares, and rhombi are all:

parallelograms so they have all the properties of a parallelog…

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Properties of Parallelograms

Properties of Rectangles

Properties of Squares

Properties of Rhombus

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) Opposite sides are congruent... 2) Opposite angles are congrue…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

1) All sides are congruent... 2) Opposite angles are congruent... 3)…

Properties of Parallelograms

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Properties of Rectangles

1) Opposite sides are congruent... 2) Opposite angles are congrue…

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.

Sin and Cosine relationship

Completing the square

Central Angle Formula

Inscribed Angle Formula

Sin and Cosine are cofunctions, which are complementary. ... If <…

Half it squared.... ex. ... x^2 + 4x + y^2-6y-12=0... +12 +12... x^2+4x+y…

<x= arc

<x= 1/2 arc

Sin and Cosine relationship

Sin and Cosine are cofunctions, which are complementary. ... If <…

Completing the square

Half it squared.... ex. ... x^2 + 4x + y^2-6y-12=0... +12 +12... x^2+4x+y…

*altitude

median

reflexive

*transitive

A line segment drawn from any vertex of a triangle, perpendicu…

A line segment drawn from any vertex of a triangle to the midp…

Any quantity that is equal to itself.

If 2 quantities are equal to the same quantity, then they are…

*altitude

A line segment drawn from any vertex of a triangle, perpendicu…

median

A line segment drawn from any vertex of a triangle to the midp…

Center- Radius Equation of a Circle

Similar Triangle Theorems- CSSTP

CPCTC- Triangle Congruent Theorems

Exterior Angle Theorem

(X-H)² + (Y-K)²= R²... (H,K) is the center... R is the radius

Similar figures have congruent angles and proportional sides.…

Corresponding Parts of Congruent Triangles are Congruent... EX: S…

The exterior angle is equal to the sum of the two non adjacent…

Center- Radius Equation of a Circle

(X-H)² + (Y-K)²= R²... (H,K) is the center... R is the radius

Similar Triangle Theorems- CSSTP

Similar figures have congruent angles and proportional sides.…

Angle

perpendicular lines

Line segment VS Line

Rigid Motions

Formed by 2 lines or rays diverging from a common vertex

Lines or segments that intersect & form 90° angles. *Slopes ar…

Lines never end but Line segments have a beginning and ending.

preserve distance and angle measure includes reflections, rota…

Angle

Formed by 2 lines or rays diverging from a common vertex

perpendicular lines

Lines or segments that intersect & form 90° angles. *Slopes ar…

Tangent

Secant

Intersection of a tangent and a radius

Equation of a circle

intersects a circle in only 1 place.

intersects a circle in 2 places.

form right angles when they intersect.

x minus h squared plus y minus k squared equals radius squared.

Tangent

intersects a circle in only 1 place.

Secant

intersects a circle in 2 places.