# geometry regents review Flashcards

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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

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…

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

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.

congruent

similar

pre-image

image

figures with the same shape, angles, sizes, sides; two or more…

two or more figures with corresponding angles that are equal i…

original figure that is to be transformed

figure that is formed when each point in an original figure is…

congruent

figures with the same shape, angles, sizes, sides; two or more…

similar

two or more figures with corresponding angles that are equal i…

Polygons - Interior/Exterior Angles

Classifying Triangles

Exterior Angle Theorem:

Midsegment

Sum of Interior Angles: 180 (n-2)... Each Interior Angle of a Reg…

Sides:... Scalene: No congruent sides... Isosceles: 2 congruent si…

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

a segment that joins two... midpoints... -Always parallel to the thi…

Polygons - Interior/Exterior Angles

Sum of Interior Angles: 180 (n-2)... Each Interior Angle of a Reg…

Classifying Triangles

Sides:... Scalene: No congruent sides... Isosceles: 2 congruent si…

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.

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

congruent

similar

pre-image

image

figures with the same shape, angles, sizes, sides; two or more…

two or more figures with corresponding angles that are equal i…

original figure that is to be transformed

figure that is formed when each point in an original figure is…

congruent

figures with the same shape, angles, sizes, sides; two or more…

similar

two or more figures with corresponding angles that are equal i…

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.

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…

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.

Name 3 Pythagorean triples

circumcenter of a triangle

incenter of a triangle

orthocenter of a triangle

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

Where the perpendicular bisectors intersect

Where the angle bisectors intersect

Where the altitudes intersect

Name 3 Pythagorean triples

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

circumcenter of a triangle

Where the perpendicular bisectors intersect

angle bisector

Quadrilateral

Circumference of a circle

complimentary angles

a ray that divides an angle into two congruent angles

A four-sided polygon.

2πr

Angles whose measure adds up to 90 degrees.

angle bisector

a ray that divides an angle into two congruent angles

Quadrilateral

A four-sided polygon.

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.

study formulas ... distance ... midpoint ... slo…

co-functions

kg to g to mg

km to m

...

if co-functions are equal,angles are complementary

multiply by 100

multiply by 1000

study formulas ... distance ... midpoint ... slo…

...

co-functions

if co-functions are equal,angles are complementary

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.

WE = Tan² (Whole x Exterior = (Whole of…

1. both pairs of opposite sides paralle…

what are the 4 properties of a rhombus?

what are the 2 properties of a rectangl…

Equation of a Secant and a Tangent

what are the 5 properties of a parallelogram?

1. at least 2 consecutive sides congruent (all sides congruent…

1. at least 1 right angle (all right angles)... 2. diagonals are…

WE = Tan² (Whole x Exterior = (Whole of…

Equation of a Secant and a Tangent

1. both pairs of opposite sides paralle…

what are the 5 properties of a parallelogram?