# Study sets matching "postulates"

Study sets

Diagrams

Classes

Users

Area of a rectangle theorem

Area of a parallelogram theorem

Area of a triangle theorem

Area of a trapezoid theorem

The area of a rectangle is the product of its base and height

The area of a parallelogram is the product of a base and its c…

The area of a triangle is one half the product of the base and…

The area of a trapezoid is one half the product of the height…

Area of a rectangle theorem

The area of a rectangle is the product of its base and height

Area of a parallelogram theorem

The area of a parallelogram is the product of a base and its c…

Theorem 6.1 - Interior Angle Sum Theorem

Theorem 6.2 - Exterior Angle Sum Theorem

Theorem 6.3

Theorem 6.4

If a convex polygon has 'n' sides and 'S' is the sum of the me…

In a convex polygon, the exterior angles add to 360

Opposite sides of a parallelogram are congruent

Oppostie angles in a parallelogram are congruent

Theorem 6.1 - Interior Angle Sum Theorem

If a convex polygon has 'n' sides and 'S' is the sum of the me…

Theorem 6.2 - Exterior Angle Sum Theorem

In a convex polygon, the exterior angles add to 360

cross products property

properties of proportions

angle-angle similarity postulate

side-angle-side similarity theorem

in a proportion, the product of the extremes equals the produc…

(1) a/b = c/d is equivalent to b/a = d/c... (2) a/b = c/d is equi…

if 2 angles of 1 triangle are congruent to 2 angles of another…

if an angle of 1 triangle is congruent to an angle of a second…

cross products property

in a proportion, the product of the extremes equals the produc…

properties of proportions

(1) a/b = c/d is equivalent to b/a = d/c... (2) a/b = c/d is equi…

Reflexive Property

SSS congruence

SAS congruence

HL postulate

Any segment or angle is congruent to itself

If there exists a correspondance between the vertecies of two…

If there exists a correspondence between the vertecies of two…

If there exists a correspondence between the vertices of two r…

Reflexive Property

Any segment or angle is congruent to itself

SSS congruence

If there exists a correspondance between the vertecies of two…

SAS postulate

ASA postulate

SSS postulate

AAS Postulate

if two corresponding sides and the corresponding angle between…

if two corresponding angles and the corresponding side between…

if the three corresponding sides are congruent, then the trian…

if two corresponding angles and a corresponding side not betwe…

SAS postulate

if two corresponding sides and the corresponding angle between…

ASA postulate

if two corresponding angles and the corresponding side between…

Theorem 10.1

Theorem 10.2

Postulate 23- Arc Addition Postulate

Theorem 10.3

In a plane, a line is tangent to a circle if and only if the l…

Tangent segments from a common external point are congruent

The measure of an arc formed by two adjacent arcs is the sum o…

In the same circle, or in congurent circles, two minor arcs ar…

Theorem 10.1

In a plane, a line is tangent to a circle if and only if the l…

Theorem 10.2

Tangent segments from a common external point are congruent

Corresponding Angles

If two lines are parallel to the same l…

Corresponding Angles Postulate

If two lines are perpendicular to the s…

the angles that occupy the same relative position at each inte…

then lines are parallel to each other

The Corresponding Angles Postulate states that, when two paral…

then they are parallel

Corresponding Angles

the angles that occupy the same relative position at each inte…

If two lines are parallel to the same l…

then lines are parallel to each other

Angle Addition Postulate

Linear Pair Theorem

Congruent Supplements Theorem

Congruent complements Theorem

putting two angles side by side with their vertices together c…

Adjacent means next to each other, and supplementary means tha…

If 2 angles are supplementary to the same angle, then they are…

If two angles are supplements of the same angle then the two a…

Angle Addition Postulate

putting two angles side by side with their vertices together c…

Linear Pair Theorem

Adjacent means next to each other, and supplementary means tha…

Rigid Transformations

Isometry

Preimage

Image

is a transformation of the plane that preserves length. Reflec…

of the plane is a linear transformation which preserves length

The inverse image or preimage of a particular subset S of the…

In mathematics, an image is the subset of a function's codomai…

Rigid Transformations

is a transformation of the plane that preserves length. Reflec…

Isometry

of the plane is a linear transformation which preserves length

Angle-Angle Similarity Postulate (AA)

If the altitude is drawn to the hypoten…

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

theorem makes it even easier to prove that two triangles are s…

then the two triangles formed are similar to the original tria…

If the lengths of the corresponding sides of two triangles are…

refers to the fact that two sides and the included angle of a…

Angle-Angle Similarity Postulate (AA)

theorem makes it even easier to prove that two triangles are s…

If the altitude is drawn to the hypoten…

then the two triangles formed are similar to the original tria…

Addition Property of Equality

Subtraction Property of Equality

Symmetric Property of Congruence

Multiplication Property of Equality

The formal name for the property of equality that allows one t…

Tells us that if we subtract from one side of an equation, we…

The reflexive property of congruence states that any geometric…

States that if we multiply one side of an equation, we also mu…

Addition Property of Equality

The formal name for the property of equality that allows one t…

Subtraction Property of Equality

Tells us that if we subtract from one side of an equation, we…

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

Acute Triangle

Triangle that has three unequal sides

Triangle that has two sides of equal length

A triangle in which all three sides are equal. In the familiar…

A triangle with all three angles acute less than 90°

Scalene Triangle

Triangle that has three unequal sides

Isosceles Triangle

Triangle that has two sides of equal length

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

In the interest of simplicity, we'll refer to it as the AA sim…

If the lengths of the corresponding sides of two triangles are…

states that if two sides in one triangle are proportional to t…

If two sides and the included angle in one triangle are congru…

Angle-Angle Similarity Postulate (AA)

In the interest of simplicity, we'll refer to it as the AA sim…

Side-Side-Side Similarity Theorem (SSS)

If the lengths of the corresponding sides of two triangles are…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

The formal name for the property of equality that allows one t…

Tells us that if we subtract from one side of an equation, we…

States that if we multiply one side of an equation, we also mu…

It states that if you divide one side of an equation by a numb…

Addition Property of Equality

The formal name for the property of equality that allows one t…

Subtraction Property of Equality

Tells us that if we subtract from one side of an equation, we…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

States that two triangles are similar if they have two corresp…

States that if three sides of one triangle are congruent to th…

Two triangles are similar if all their corresponding angles ar…

States that if two sides and the included angle of one triangl…

Angle-Angle Similarity Postulate (AA)

States that two triangles are similar if they have two corresp…

Side-Side-Side Similarity Theorem (SSS)

States that if three sides of one triangle are congruent to th…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

The postulate states that two triangles are similar if they ha…

If all three pairs of corresponding sides of two triangles are…

Triangles are similar if two sides in one triangle are in the…

states that if two sides and the included angle of one triangl…

Angle-Angle Similarity Postulate (AA)

The postulate states that two triangles are similar if they ha…

Side-Side-Side Similarity Theorem (SSS)

If all three pairs of corresponding sides of two triangles are…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

In the interest of simplicity, we'll refer to it as the AA sim…

If the lengths of the corresponding sides of two triangles are…

states that if two sides in one triangle are proportional to t…

If two sides and the included angle in one triangle are congru…

Angle-Angle Similarity Postulate (AA)

In the interest of simplicity, we'll refer to it as the AA sim…

Side-Side-Side Similarity Theorem (SSS)

If the lengths of the corresponding sides of two triangles are…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

The postulate states that two triangles are similar if they ha…

If the lengths of the corresponding sides of two triangles are…

When two triangles have corresponding angles that are congruen…

states that if two sides and the included angle of one triangl…

Angle-Angle Similarity Postulate (AA)

The postulate states that two triangles are similar if they ha…

Side-Side-Side Similarity Theorem (SSS)

If the lengths of the corresponding sides of two triangles are…

Angle-Angle Similarity Postulate

Side-Side-Side Similarity Theorem

Side-Angle-Side Similarity Theorem

Side-Angle-Side Congruence Postulate

states that two triangles are similar if they have two corresp…

all three pairs of corresponding sides of two triangles are pr…

similar if two sides in one triangle are in the same proportio…

if two sides and the included angle of one triangle are congru…

Angle-Angle Similarity Postulate

states that two triangles are similar if they have two corresp…

Side-Side-Side Similarity Theorem

all three pairs of corresponding sides of two triangles are pr…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

In the interest of simplicity, we'll refer to it as the AA sim…

If the lengths of the corresponding sides of two triangles are…

states that if two sides in one triangle are proportional to t…

If two sides and the included angle in one triangle are congru…

Angle-Angle Similarity Postulate (AA)

In the interest of simplicity, we'll refer to it as the AA sim…

Side-Side-Side Similarity Theorem (SSS)

If the lengths of the corresponding sides of two triangles are…

Angle-Angle Similarity Postulate

Side-Side-Side Similarity Theorem

Side-Angle-Side Similarity Theorem

Side-Angle-Side Congruence Postulate

states that two triangles are similar if they have two corresp…

Triangles are similar if all three sides in one triangle are i…

If an angle of a triangle is congruent to an angle of another…

states that if two sides and the included angle of one triangl…

Angle-Angle Similarity Postulate

states that two triangles are similar if they have two corresp…

Side-Side-Side Similarity Theorem

Triangles are similar if all three sides in one triangle are i…

Angle-Angle Similarity Postulate (AA)

Side-Side-Side Similarity Theorem (SSS)

Side-Angle-Side Similarity Theorem (SAS)

Side-Angle-Side Congruence Postulate (S…

If two angles in one triangle are congruent to two angles in a…

if three sides of one triangle are congruent to three sides of…

two triangles are similar if all their corresponding angles ar…

if two sides and the included angle of one triangle are congru…

Angle-Angle Similarity Postulate (AA)

If two angles in one triangle are congruent to two angles in a…

Side-Side-Side Similarity Theorem (SSS)

if three sides of one triangle are congruent to three sides of…

Angle Addition Potulate

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If point B lies in the interior of angle AOC, then. . The post…

is a pair of adjacent, supplementary angles. Adjacent means ne…

If 2 angles are complementary to the same angle, then they are…

If 2 angles are complementary to the same angle, then they are…

Angle Addition Potulate

If point B lies in the interior of angle AOC, then. . The post…

Linear Pair Theorem

is a pair of adjacent, supplementary angles. Adjacent means ne…

Corresponding Angles

Corresponding Angles Postulate

Converse of Corresponding Angles Postul…

Alternate Interior Angles

When two lines are crossed by another line (which is called th…

When two parallel lines are cut by a transversal , the resulti…

States that when a transversal intersects parallel lines, the…

When two lines are crossed by another line

Corresponding Angles

When two lines are crossed by another line (which is called th…

Corresponding Angles Postulate

When two parallel lines are cut by a transversal , the resulti…