# Study sets matching "geometry chapter 4"

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

vector

initial point

terminal point

horizontal component

a quantity with direction and magnitude

where a vector starts

where a vector ends

the change in the x-axis coordinate

vector

a quantity with direction and magnitude

initial point

where a vector starts

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.

vector

initial point

terminal point

horizontal component

a quantity with direction and magnitude

where a vector starts

where a vector ends

the change in the x-axis coordinate

vector

a quantity with direction and magnitude

initial point

where a vector starts

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…

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

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.

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

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…

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…

Given

Definition of Midpoint

Definition of Supplemental Angles

Definition of Perpendicular Lines

(Info in the Question)

Midpoint

<1 + <2 = 180

Perpendicular Lines Create two 90 degree Angles

Given

(Info in the Question)

Definition of Midpoint

Midpoint

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

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…

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

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Equiangular Triangle

A triangle with three congruent sides.

A triangle with at least two congruent sides.

A triangle with no sides congruent.

A triangle with three congruent angles.

Equilateral Triangle

A triangle with three congruent sides.

Isosceles Triangle

A triangle with at least two congruent sides.

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

starting point

numbers assigned to points

choosing an origin and ruler gives a ?

to locate points in a plane, use a ?

origin

coordinates

one dimensional conditional statement

two dimensional coordinate system

starting point

origin

numbers assigned to points

coordinates

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

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)

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.

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Acute Triangle

All 3 sides of the triangle are congruent.

At least 2 sides of the triangle are congruent.

0 sides of the triangle are congruent.

The triangle has 3 acute angles.

Equilateral Triangle

All 3 sides of the triangle are congruent.

Isosceles Triangle

At least 2 sides of the triangle are congruent.

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…