# Study sets matching "chapter 4 math geometry"

congruent figures

congruence transformation

dilation

center of dilation

Geometric figures that have the same size and shape

A transformation that preserves length and angle measure

A transformation in which a figure is enlarged or reduced with…

The fixed point in a dilation

congruent figures

Geometric figures that have the same size and shape

congruence transformation

A transformation that preserves length and angle measure

congruent figures

congruence transformation

dilation

center of dilation

Geometric figures that have the same size and shape

A transformation that preserves length and angle measure

A transformation in which a figure is enlarged or reduced with…

The fixed point in a dilation

congruent figures

Geometric figures that have the same size and shape

congruence transformation

A transformation that preserves length and angle measure

alpha

angle

arithmetic sequence

clinometer

a Greek letter often used to represent angle measure. Others u…

formed by two rays joined at a common endpoint

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

alpha

a Greek letter often used to represent angle measure. Others u…

angle

formed by two rays joined at a common endpoint

point

line

line segment

plane

a location in space

a straight path of points that goes on endlessly in both direc…

a part of a line having 2 endpoints

a flat surface that goes on endlessly in all directions

point

a location in space

line

a straight path of points that goes on endlessly in both direc…

alpha

angle

arithmetic sequence

clinometer

a Greek letter often used to represent angle measure. Others u…

formed by two rays joined at a common endpoint

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

alpha

a Greek letter often used to represent angle measure. Others u…

angle

formed by two rays joined at a common endpoint

polygon

triangle

vertices

acute triangle

A figure in a plane made up of segments that are connected wit…

A polygon with three sides

The common endpoints in a triangle

All three angles are acute

polygon

A figure in a plane made up of segments that are connected wit…

triangle

A polygon with three sides

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

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

Acute Angle

Auxillary Line

Base Angles of Isosceles Triangle

Congruence Transformation

A triangle with 3 acute triangles

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

The two angles formed by the base and the congruent sides

Rigid transformation or Isometry: the position of the image ma…

Acute Angle

A triangle with 3 acute triangles

Auxillary Line

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

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…

Vector

Initial point

Terminal point

Component form of a vector

A quantity that has both direction and magnitude, or size, and…

Starting point of a vector

Ending point of a vector

Combines the horizontal and vertical components of a vector in…

Vector

A quantity that has both direction and magnitude, or size, and…

Initial point

Starting point of a vector

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…

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…

circumcenter

perpendicular bisector

bisect

centroid

The point of currency of the perpendicular bisectors of the si…

Bisects a segment and is perpendicular to it.

to cut exactly in half

The point of concurrency of the medians of a triangle

circumcenter

The point of currency of the perpendicular bisectors of the si…

perpendicular bisector

Bisects a segment and is perpendicular to it.

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.

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.

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

Reflexive Property

Symmetric Property

Transitive Property

Scalene Triangle

A=A

If A=B, then B=A.

If A=B and B=C, then A=C.

Triangle with all different sides lengths.

Reflexive Property

A=A

Symmetric Property

If A=B, then B=A.

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

Incenter

orthocenter

concurrent lines

point of concurrency

the point of concurrency of the angle bisectors of a triangle.

the point of concurrency of the altitudes of a triangle

three or more lines that intersect at a common point

the point of intersection of concurrent lines

Incenter

the point of concurrency of the angle bisectors of a triangle.

orthocenter

the point of concurrency of the altitudes of a triangle