#### Study sets matching "geometry chapter 4"

#### Study sets matching "geometry chapter 4"

Triangle Sum Theorem

Exterior Angle Theorem

Side side side Congruence Postulate

side angle side congruence postulate

The sum of the angle measures of a triangle is 180.

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

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

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

Triangle Sum Theorem

The sum of the angle measures of a triangle is 180.

Exterior Angle Theorem

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

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

Scalene Triangle

Isosceles Triangle (Base, Leg, Vertex,…

Equilateral Triangle

Right Triangle (Hypotenuse, Leg)

A triangle with no congruent sides

A triangle that has 2 congruent sides.... Legs - 2 congruent side…

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 (Base, Leg, Vertex,…

A triangle that has 2 congruent sides.... Legs - 2 congruent side…

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

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…

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…

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

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.

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

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

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof

Congruent Polygons

Third Angles Theorem

Side-Side-Side (SSS) Postulate

Side-Angle_Side (SAS) Postulate

have congruent corresponding parts - their matching sides and…

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

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

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

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…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

If all three of the angles of a triangle are acute angles, the…

If all three angles of an acute triangle are congruent, then t…

If one of the angles of a triangle is an obtuse angle, then th…

If one of the angles of a triangle is a right angle, then the…

Acute Triangle

If all three of the angles of a triangle are acute angles, the…

Equiangular Triangle

If all three angles of an acute triangle are congruent, then t…

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding p…

Corresponding parts of congruent triangles are congruent. ( De…

If 3 sides of one triangle are congruent to 3 sides of another…

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

Definition of Congruent Triangles

2 triangles are congruent if and only if their corresponding p…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( De…

Triangle

Interior angles

Exterior angles

Corollary to a theorem

Polygon with 3 sides

When the sides are extended the angles are in the inside

When the sides are extended the angles are on the outside

A statement that can be proved easily with the theorem

Triangle

Polygon with 3 sides

Interior angles

When the sides are extended the angles are in the inside

Triangle Sum Theorem

Definition: Triangle Exterior Angle

Remote Interior Angles

Triangle Exterior Angle Theorem

The sum of the interior angles of a triangle is 180 degrees.

The angle formed by one side of a polygon and the extension of…

The two angles in a triangle that are not adjacent to the indi…

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

Triangle Sum Theorem

The sum of the interior angles of a triangle is 180 degrees.

Definition: Triangle Exterior Angle

The angle formed by one side of a polygon and the extension of…

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding p…

Corresponding parts of congruent triangles are congruent. ( De…

If 3 sides of one triangle are congruent to 3 sides of another…

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

Definition of Congruent Triangles

2 triangles are congruent if and only if their corresponding p…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( De…

Base Angles of Isosceles Triangle

Base of an Isosceles Triangle

Congruent Polygons

Hypotenuse

Angles opposite the two congruent sides of an isosceles triang…

Side opposite the vertex angle of a isosceles triangle.

Has corresponding (matching sides and angles) congruent parts.

Side opposite the right angle of a triangle.

Base Angles of Isosceles Triangle

Angles opposite the two congruent sides of an isosceles triang…

Base of an Isosceles Triangle

Side opposite the vertex angle of a isosceles triangle.

alternate exterior angles

alternate interior angles

consecutive interior angles

corresponding angles

On opposite sides of the transversal, outside the parallel lin…

On opposite sides of the transversal, inside the parallel lines

On the same side of the transversal

Have different vertices

alternate exterior angles

On opposite sides of the transversal, outside the parallel lin…

alternate interior angles

On opposite sides of the transversal, inside the parallel lines