# geometry regents review Flashcards

Browse 500 sets of geometry regents review flashcards

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

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…

(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

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.

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.

Collinear Points

Translation

reflection

Rotation

points that lie on the same line

slide, for example: (x, y) -> (x + 2, y - 4)

Flipping a figure to produce a mirror image.

spin/turn

Collinear Points

points that lie on the same line

Translation

slide, for example: (x, y) -> (x + 2, y - 4)

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…

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

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

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…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

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.