# Study sets matching "geometry chapter 4"

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triangle angle sum THEOREM

exterior angle THEOREM

remote interior angles

corollary

the sum of the measures of a triangle is 180

the measure of an exterior angle of a triangle is the sum of t…

two angles not adjacent to the exterior angle

a theorem with a proof that follows as a direct result

triangle angle sum THEOREM

the sum of the measures of a triangle is 180

exterior angle THEOREM

the measure of an exterior angle of a triangle is the sum of t…

acute triangle

auxiliary line

base of a triangle

base angle of an isosceles triangle

a triangle with 3 acute angles

a line drawn in a figure to aid in a proof

any side of a triangle

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 drawn in a figure to aid in a proof

Isosceles Triangle Theorem

Converse of the Isosceles Triangle Theo…

Theorem 4-2 (Isosceles triangle/angle b…

Equilateral Triangle

If two sides of a triangle are congruent, then the angles oppo…

If two angles of a triangle are congruent, then the sides oppo…

If a line or line segment bisects the non-base angle of an iso…

A triangle that has all sides and all angles equal. (All angle…

Isosceles Triangle Theorem

If two sides of a triangle are congruent, then the angles oppo…

Converse of the Isosceles Triangle Theo…

If two angles of a triangle are congruent, then the sides oppo…

Congruent Polygons

Triangle Congruence by SSS

Triangle Congruence by SAS

Triangle Congruence by ASA

Have congruent corresponding (matching) sides and correspondin…

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

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

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

Congruent Polygons

Have congruent corresponding (matching) sides and correspondin…

Triangle Congruence by SSS

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

Congruent Polygons

Third Angles Theorem

Side-Side-Side (SSS) Postulate

Side-Angle-Side (SAS) Postulate

Have corresponding parts congruent.

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

If the 3 sides of 1 triangle are congruent to the 3 sides of a…

If 2 sides and the included angle of 1 triangle are congruent…

Congruent Polygons

Have corresponding parts congruent.

Third Angles Theorem

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

Congruent Polygons

Third Angles Theorem

Side-Side-Side (SSS) Postulate

Side-Angle-Side (SAS) Postulate

Have corresponding parts congruent.

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

If the 3 sides of 1 triangle are congruent to the 3 sides of a…

If 2 sides and the included angle of 1 triangle are congruent…

Congruent Polygons

Have corresponding parts congruent.

Third Angles Theorem

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

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

Right Triangle

A triangle with no congruent sides

A triangle that has 2 congruent sides.

A triangle with 3 congruent sides

A triangle with a 90 degree angle

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle

A triangle that has 2 congruent sides.

triangle

interior angle

exterior angle

corollary to a theorem

a polygon with 3 sides

(of a triangle) when the sides of a triangle are extended, the…

(of a triangle) when the sides of a triangle are extended, the…

a statement that can be proven easily using the theorem

triangle

a polygon with 3 sides

interior angle

(of a triangle) when the sides of a triangle are extended, the…

triangle

vertex

adjacent sides

legs of a right triangle

a figure formed by three segments joining three noncollinear p…

one of the three points joining the sides of a triangle

two sides sharing a common vertex in a triangle

in a right triangle, the sides that form the right angle

triangle

a figure formed by three segments joining three noncollinear p…

vertex

one of the three points joining the sides of a triangle

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

Right Triangle

A triangle with no congruent sides

A triangle that has at least 2 congruent sides.

A triangle with 3 congruent sides

A triangle with a 90 degree angle... Hypotenuse - the side opposi…

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle

A triangle that has at least 2 congruent sides.

auxiliary line

exterior angle

remote interior angles

flow proof

an extra line or segment drawn in a figure to help analyze geo…

an angle formed by one side of a triangle and the extension of…

the angles of a triangle that are not adjacent to a given exte…

uses statements written in boxes and arrows to show the logica…

auxiliary line

an extra line or segment drawn in a figure to help analyze geo…

exterior angle

an angle formed by one side of a triangle and the extension of…

congruent polygons

corollary

hypotenuse

base angles of an isosceles triangle

polygons in which all sides and all angles are congruent

A statement that follows immediately from a theorem

The longest side of a right triangle, opposite the right angle

The 2 non-vertex angles of an isosceles triangle, formed by th…

congruent polygons

polygons in which all sides and all angles are congruent

corollary

A statement that follows immediately from a theorem

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…

Scalene Triangle

Isosceles Triangle

Congruent Polygons

Third Angles Theorem

A triangle with no congruent sides

A triangle that has 2 congruent sides.

have congruent corresponding parts- their matching sides and a…

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

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle

A triangle that has 2 congruent sides.

obtuse triangle

right triangle

acute triangle

scalene triangle

A triangle with one obtuse angle

A triangle with one right angle

A triangle with 3 acute angles

A triangle with no congruent sides

obtuse triangle

A triangle with one obtuse angle

right triangle

A triangle with one right angle

acute triangle

equiangular triangle

obtuse triangle

right triangle

a triangle with 3 acute angles

a triangle with 3 congruent acute angles

a triangle with one obtuse angle

a triangle with one right angle

acute triangle

a triangle with 3 acute angles

equiangular triangle

a triangle with 3 congruent acute angles

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…

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

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)

Triangle Angle Sum Theorem

Exterior Angle Theorem

Remote Interior Angles

Corollary

the sum of the angles of a triangle is 180

the measure of an exterior angle of a triangle is the sum of t…

two interior angles not adjacent to the exterior angle

a theorem with a proof that follows as a direct result of anot…

Triangle Angle Sum Theorem

the sum of the angles of a triangle is 180

Exterior Angle Theorem

the measure of an exterior angle of a triangle is the sum of t…

acute triangle

equiangular triangle

right triangle

obtuse angle

triangle with three acute angles

triangle with three congruent angles

triangle with one right angle

triangle with one obtuse angle

acute triangle

triangle with three acute angles

equiangular triangle

triangle with three congruent angles