# geometry regents review

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GRE Math Review | Practice Questions

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

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.

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

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…

(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.

Quadrilateral

Trapezoid

Parallelogram

Rectangle

A four sided figure

Quadrilateral with at least one pair of parallel sides

Opposite sides are parallel and congruent... Diagonals bisect eac…

Parallelogram with 4 right angles ... Diagonals intersect at 90 d…

Quadrilateral

A four sided figure

Trapezoid

Quadrilateral with at least one pair of parallel 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…

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.

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

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…

Reflexive Property

Symmetric Property

Transitive Property

Addition Postulate

A quantity is congruent to itself a=a.

If a=b, then b=a.

If a=b and b=c, then a=c.

If equal quantities are added to equal quantities, then the su…

Reflexive Property

A quantity is congruent to itself a=a.

Symmetric Property

If a=b, then b=a.

Trapezoid

Isosceles Trapezoid

Rectangles

Parallelogram

1 pair of parallel sides... slope formula shows opposite sides ar…

each pair of base angels are equal, diagonals are equal, one p…

all angels are right, bases are parallel, opposite sides congr…

Our Students Pass On A Clear And A Sunny Day Because....... Oppos…

Trapezoid

1 pair of parallel sides... slope formula shows opposite sides ar…

Isosceles Trapezoid

each pair of base angels are equal, diagonals are equal, one p…

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…

Reasons for Proofs

Reasons for Proofs

Reasons for Proofs

Reasons for Proofs

Reflexive Property

Alternative Interior Angles are congruent

Rights angles are congruent

Opposite sides of a parallelogram are congruent and parallel

Reasons for Proofs

Reflexive Property

Reasons for Proofs

Alternative Interior Angles are congruent