#### 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 th…

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

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

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 th…

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

Side-Side-Side Congruence Postulate (S…

Angle-Side-Angle Congruence Theorem (A…

Side-Angle-Side Congruence Postulate (…

Side-Side-Angle Conjecture (SSA)

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

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

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

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

Side-Side-Side Congruence Postulate (S…

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

Angle-Side-Angle Congruence Theorem (A…

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

The two congruent angles of an isoscel…

The noncongruent side of an isosceles…

Polygons that have congruent correspon…

If you know two triangles are congruen…

Base Angles of Isosceles Triangle

Base of Isosceles Triangle

Congruent Polygons

Corresponding Parts of Congruent Triangles

The two congruent angles of an isoscel…

Base Angles of Isosceles Triangle

The noncongruent side of an isosceles…

Base of Isosceles Triangle

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…

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

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

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…

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 line…

alternate exterior angles

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

exterior angles

Angles outside a polygon

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

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

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

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

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, th…

Equiangular Triangle

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

triangle

equilateral polygon

equiangular polygon

regular polygon

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

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…

equilateral polygon

a polygon in which all sides are congruent

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…

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

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

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…

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

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

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding…

Corresponding parts of congruent triangles are congruent. ( D…

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

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…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( D…

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding…

Corresponding parts of congruent triangles are congruent. ( D…

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

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…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( D…

Base Angles of Isosceles Triangle

Base of an Isosceles Triangle

Congruent Polygons

Hypotenuse

Angles opposite the two congruent sides of an isosceles trian…

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 trian…

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 li…

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 li…

alternate interior angles

On opposite sides of the transversal, inside the parallel lines

Congruent Polygons

Theorem 4-1, Third Angles Theorem

Postulate 4-1, Side-Side-Side (SSS) Po…

Postulate 4-2, Side-Angle-Side (SAS) P…

Polygon with congruent corresponding parts - their matching s…

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

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

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

Congruent Polygons

Polygon with congruent corresponding parts - their matching s…

Theorem 4-1, Third Angles Theorem

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

Acute

Obtuse

Equilateral

Equiangular

A triangle that has 3 angles less than 90 degrees

A triangle that has 1 angle more than 90 degrees

A triangle that has 3 sides congruent

A triangle that has 3 angles congruent

Acute

A triangle that has 3 angles less than 90 degrees

Obtuse

A triangle that has 1 angle more than 90 degrees

Triangle

Interior Angles

Exterior Angles

Corollary

A polygon with three sides.

Angles inside the triangle that form the vertices.

Angles that form linear pairs with the interior angles (outsi…

A statement that can be proved easily using a given theorem.

Triangle

A polygon with three sides.

Interior Angles

Angles inside the triangle that form the vertices.