# Study sets matching "geometry chapter 4"

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Triangle Sum Conjecture

Auxiliary line

Legs of an Isosceles Triangle

Isosceles Triangle Conjecture

The sum of the measures of the angles in every triangle is 180°

An extra line or segment that helps with a proof

The two sides of an isosceles triangle that are not the base.

If a triangle is isosceles, then its base angles are congruent

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Auxiliary line

An extra line or segment that helps with a proof

Triangle Sum Theorem

Exterior Angle Theorem

Third Angles Theorem

SSS Postulate

The sum of the interior angles of a triangle are 180. ... Acute…

The measure of an exterior angle of a triangle is equal to the…

If 2 angles of a triangle are congruent to 2 angles of another…

If 3 sides of a triangle are congruent to 3 sides of another t…

Triangle Sum Theorem

The sum of the interior angles of a triangle are 180. ... Acute…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the…

α

arithmetic sequence

clinometer

conjecture

alpha is a Greek letter that is often used to represent the me…

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

an educated guess

α

alpha is a Greek letter that is often used to represent the me…

arithmetic sequence

an ordered sequence of mathematical terms in which a constant…

Congruent Triangles

Included Angles

Included Side

SSS Postulate

Triangles with the same measures. When two triangles are congr…

An included angle is the angle between two sides of a triangle…

An included side is the side between two angles of a triangle.

SSS (Side Side Side) postulate states that if three sides of o…

Congruent Triangles

Triangles with the same measures. When two triangles are congr…

Included Angles

An included angle is the angle between two sides of a triangle…

acute triangle

auxiliary line

base

base angle

A triangle with 3 acute angles

A line that is added to a figure to aid in a proof

a side of a polygon

one of the two angles that have the base of the triangle as a…

acute triangle

A triangle with 3 acute angles

auxiliary line

A line that is added to a figure to aid in a proof

The two congruent angles of an isoscele…

The noncongruent side of an isosceles t…

Polygons that have congruent correspond…

If you know two triangles are congruent…

Base Angles of Isosceles Triangle

Base of Isosceles Triangle

Congruent Polygons

Corresponding Parts of Congruent Triangles

The two congruent angles of an isoscele…

Base Angles of Isosceles Triangle

The noncongruent side of an isosceles t…

Base of Isosceles Triangle

α

Addition Rule for Probability

arithmetic sequence

clinometer

alpha, often used to represent the measure of an angle.

For any two events {A} and {B}, P(A or B) = P(A) + P(B) - P(A…

mathematical terms in which a constant number is added to each…

device used to measure angles of elevation and depression

α

alpha, often used to represent the measure of an angle.

Addition Rule for Probability

For any two events {A} and {B}, P(A or B) = P(A) + P(B) - P(A…

Side-Side-Side Congruence Postulate (SS…

Angle-Side-Angle Congruence Theorem (AS…

Side-Angle-Side Congruence Postulate (S…

Side-Side-Angle Conjecture (SSA)

If the sides of one triangle are congruent to the sides of ano…

If two angles and the included side in one triangle are congru…

If two sides and their included angle in one triangle are cong…

In an SSA combination, if the given side opposite the given an…

Side-Side-Side Congruence Postulate (SS…

If the sides of one triangle are congruent to the sides of ano…

Angle-Side-Angle Congruence Theorem (AS…

If two angles and the included side in one triangle are congru…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

A triangle that has 3 acute angles.

A triangle with 3 congruent acute angles.

A triangle that has 1 obtuse angle.

A triangle that has 1 right angle.

Acute Triangle

A triangle that has 3 acute angles.

Equiangular Triangle

A triangle with 3 congruent acute angles.

Congruent Polygons

Third Angles Theorem

Congruent Triangles

Side-Side-Side (SSS) Postulate

Have congruent corresponding parts - their matching sides and…

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

If all six parts, (angles and sides) are congruent then the tr…

If three sides of one triangle are congruent to the three side…

Congruent Polygons

Have congruent corresponding parts - their matching sides and…

Third Angles Theorem

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

Right Angle

Acute Angle

Obtuse Angle

Acute Triangle

An angle that measures 90 degrees.

An angle that measures between 0 and 90 degrees.

An angle that measures between 90 and 180 degrees.

A triangle with three angles less than 90 degrees each.

Right Angle

An angle that measures 90 degrees.

Acute Angle

An angle that measures between 0 and 90 degrees.

The Distance Formula

Definition of Congruent Triangles

Corollary to the Definition of Congruen…

The ASA Postulate

√ (x₂ - x₁)² + (y₂ - y₁)²

Two triangles are congruent iff there is a correspondence betw…

Two triangles congruent to a third triangles are congruent to…

If two angles and the included side of one triangle are congru…

The Distance Formula

√ (x₂ - x₁)² + (y₂ - y₁)²

Definition of Congruent Triangles

Two triangles are congruent iff there is a correspondence betw…

alternate exterior angles

exterior angles

line

corresponding angles

Angles that lie outside a pair of lines and on opposite sides…

Angles outside a polygon

A basic undefined term of geometry. Lines extend indefinitely…

Angles formed by a transversal cutting through 2 or more lines…

alternate exterior angles

Angles that lie outside a pair of lines and on opposite sides…

exterior angles

Angles outside a polygon

Angle of Rotation

Center of Dilation

Center of Rotation

Center of Symmetry

The angle that is formed by rays drawn from the center of rota…

The fixed point in a dilation

The fixed point in a rotation

The center of rotation in a figure that has rotational symmetry

Angle of Rotation

The angle that is formed by rays drawn from the center of rota…

Center of Dilation

The fixed point in a dilation

The two congruent angles of an isoscele…

The noncongruent side of an isosceles t…

Polygons that have congruent correspond…

If you know two triangles are congruent…

Base Angles of Isosceles Triangle

Base of Isosceles Triangle

Congruent Polygons

Corresponding Parts of Congruent Triangles

The two congruent angles of an isoscele…

Base Angles of Isosceles Triangle

The noncongruent side of an isosceles t…

Base of Isosceles Triangle

triangle

equilateral polygon

equiangular polygon

regular polygon

a figure formed by 3 segments joining 3 non collinear points c…

a polygon in which all sides are congruent

a polygon whose angles are all congruent

a polygon with congruent sides and angles

triangle

a figure formed by 3 segments joining 3 non collinear points c…

equilateral polygon

a polygon in which all sides are congruent

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

A triangle with all three angles measuring less than 90º.

A triangle with all three angles measuring 60º.

A triangle with one angle measuring greater than 90º.

A triangle with one angle measuring exactly 90º.

Acute Triangle

A triangle with all three angles measuring less than 90º.

Equiangular Triangle

A triangle with all three angles measuring 60º.

dilation

translation

reflection

rotation

with scale factor k>0 and center (0,0) maps (x,y) to (kx,ky)

(x,y) --> (x+a, y+b)

(x,y) --> (-x, y) reflection across the y-axis... (x,y) --> (x, -…

(x,y) --> (y, -x) rotation about (0,0); 90º clockwise... (x,y) --…

dilation

with scale factor k>0 and center (0,0) maps (x,y) to (kx,ky)

translation

(x,y) --> (x+a, y+b)

Origin

Coordinates

One-Dimensional Coordinate System

Two-Dimensional Coordinate System

starting point

Ordered pairs that identify points on a coordinate plane. (x,y)

Coordinate system used on a ruler or number line

Coordinate system used on a coordinate plane

Origin

starting point

Coordinates

Ordered pairs that identify points on a coordinate plane. (x,y)