# Study sets matching "chapter 4 math geometry"

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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

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…

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

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

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... Hypotenuse - the side opposi…

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle

A triangle that has 2 congruent sides.

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…

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

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... Hypotenuse - the side opposi…

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle

A triangle that has 2 congruent sides.

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…

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

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

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…

Triangle Sum Theorem

Exterior Angle Theorem

Third Angles Theorem

SSS Postulate

The sum of the interior angles of a triangle are 180. ... Acute…

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

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

If 3 sides of a triangle are congruent to 3 sides of another t…

Triangle Sum Theorem

The sum of the interior angles of a triangle are 180. ... Acute…

Exterior Angle Theorem

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

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…

Vector

Initial Point

Terminal Point

Horizontal Component

A quantity that has both direction and magnitude and is repres…

The starting point of a vector.

The ending point of a vector.

The horizontal change from the starting of a vector to the end…

Vector

A quantity that has both direction and magnitude and is repres…

Initial Point

The starting point of a vector.

Transformation

Preimage

Image

Translation

A function that moves or changes a figure in some way to produ…

The original figure before a transformation. (the before)

A figure that results from the transformation of a geometric f…

A transformation that moves every point of a figure the same d…

Transformation

A function that moves or changes a figure in some way to produ…

Preimage

The original figure before a transformation. (the before)

Included Side

Equilateral Triangle

Congruence Transformations

Isosceles Triangle

The side that is located between two specified angles.

A triangle in which all three SIDES are the same.

A reflection, rotation, translation and glide reflection are e…

A triangle that has at least two congruent sides.

Included Side

The side that is located between two specified angles.

Equilateral Triangle

A triangle in which all three SIDES are the same.

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…

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 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…

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

Polygon

Concave Polygon

Convex Polygon

Diagonal

A closed figure formed by three or more line segments

Polygon with at least one diagonal outside the polygon

Has no diagonal with points outside the polygon

A line segment connecting non-adjacent vertices of a polygon.

Polygon

A closed figure formed by three or more line segments

Concave Polygon

Polygon with at least one diagonal outside the polygon