# Study sets matching "geometry triangle proofs"

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SSS (side, side, side)

ASA (angle, side, angle)

SAS (side, angle, side)

AAS (angle, angle, side)

If 3 sides of one triangle are congruent to the corresponding…

If two angles and the included side of one triangle are congru…

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

If two angles and a side opposite one of the angles in one tri…

SSS (side, side, side)

If 3 sides of one triangle are congruent to the corresponding…

ASA (angle, side, angle)

If two angles and the included side of one triangle are congru…

side side side (SSS)

side angle side (SAS)

hypotenuse leg (HL)

angle angle side (AAS)

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

If two sides and the included angle are congruent to two sides…

If the hypotenuse (the side across from the right angle) and a…

If two angles and a non included side of one triangle are cong…

side side side (SSS)

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

side angle side (SAS)

If two sides and the included angle are congruent to two sides…

Segment Bisector

Angle Bisector

Intersecting Lines

Vertical Angles

Segment Bisector > midpoint... Midpoint > 2 = segments

Angle Bisector > 2 = angles

Intersecting Lines > Vertical Angles... Vertical Angles > 2 = An…

Vertical Angles > 2 = Angles

Segment Bisector

Segment Bisector > midpoint... Midpoint > 2 = segments

Angle Bisector

Angle Bisector > 2 = angles

Midpoint

Segment bisector

Angle bisector

Perpendicular lines

A point that divides a segment into two congruent parts

A segment that divides a segment into two congruent parts

A segment that divides an angle into two congruent parts

Two lines that intersect to form right angles

Midpoint

A point that divides a segment into two congruent parts

Segment bisector

A segment that divides a segment into two congruent parts

Theorem

Proof

Inscribe

Equidistant

A known fact that has been previously proven

Deductive argument for a mathematical statement.

The verb that means: to draw the incircle.

Equal distance

Theorem

A known fact that has been previously proven

Proof

Deductive argument for a mathematical statement.

Reflexive Property

Segment Addition Postulate

Def. of a Midpoint

Def. of Segment Bisector

A=A... AB=AB... <A is congruent to <A

If B is between A and C, then AB+AC+=AC

if B is the midpoint of AC, then AB is congruent to BC

If BD bisected <ABC at D, then AD is congruent to DC

Reflexive Property

A=A... AB=AB... <A is congruent to <A

Segment Addition Postulate

If B is between A and C, then AB+AC+=AC

Reflexive property of segment congruence

Alternate interior angles theorem

Vertical angles congruence theorem

Triangle Sum Theorem

For any segment such as line AB, AB congruent AB

If two parallel lines cut by a transversal then the pairs of a…

Vertical angles are congruent

The sum of the measures of the interior angles of a triangle i…

Reflexive property of segment congruence

For any segment such as line AB, AB congruent AB

Alternate interior angles theorem

If two parallel lines cut by a transversal then the pairs of a…

Side-Side-Side (SSS) Congruence

Side-Angle-Side (SAS) Congruence

Angle-Side-Angle (ASA) Congruence

Angle-Angle-Side (AAS) Congruence

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

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

If two angles and the included side of one triangle are congru…

If two angles and the non-included side of one triangle are co…

Side-Side-Side (SSS) Congruence

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

Side-Angle-Side (SAS) Congruence

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

Definition of Congruence

Definition of a Midpoint

Definition of Angle Bisector

Definition of Perpendicular Lines

Having the exact same size and shape and there by having the e…

The point that divides a segment into two congruent halves.

The ray that divides an angle into two congruent halves.

Lines that intersect to form right angles or 90 degrees.

Definition of Congruence

Having the exact same size and shape and there by having the e…

Definition of a Midpoint

The point that divides a segment into two congruent halves.

SAS

SSS

ASA

AAS

requires two sides and an angle. The angle must be between the…

requires three sides

requires two angles and a side. The side must be between the t…

requires two angles and a side. The side is not between the tw…

SAS

requires two sides and an angle. The angle must be between the…

SSS

requires three sides

SAS

ASA

AAS

SSS

Two triangles are congruent if two sides in the included angle…

Two triangles are congruent if two angles and the included sid…

Two triangles are congruent if two angles and the consecutive…

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

SAS

Two triangles are congruent if two sides in the included angle…

ASA

Two triangles are congruent if two angles and the included sid…

Addition Postulate

Subtraction Postulate

Division Postulate

Supplement Theorem

If equal parts are added to equal parts, then their sums are e…

If 2 equal parts are subtracted from 2 equal parts, then their…

Halves of equals are equals

Supplements of congruent angles are congruent (write out defin…

Addition Postulate

If equal parts are added to equal parts, then their sums are e…

Subtraction Postulate

If 2 equal parts are subtracted from 2 equal parts, then their…

definition of congruency

definition of midpoint

definition of angle bisector

definition of perpendicular lines

having the exact same size and shape in there by having the ex…

The point that divides a segment into two congruent segments

the Ray that divides an angle into two congruent angles

Lines that intersect to form right angles or 90°

definition of congruency

having the exact same size and shape in there by having the ex…

definition of midpoint

The point that divides a segment into two congruent segments

Congruence

Midpoint

Angle Bisector

Perpendicular Lines

having the exact same size and shape and there by having the e…

the point that divides a segment into two congruent segments

the ray that divides an angle into two congruent angles

lines that intersect to form right angles or 90°

Congruence

having the exact same size and shape and there by having the e…

Midpoint

the point that divides a segment into two congruent segments

definition of congruence

definition of midpoint

definition of a angle bisector

definition of perpendicular lines

time before colonies declared there independence from britain.

the point divides a segment into two congruent segments

the ray that divides an angle into two congruent angles

lines that intersect to form right angles or 90 degrees

definition of congruence

time before colonies declared there independence from britain.

definition of midpoint

the point divides a segment into two congruent segments

Altitude of a triangle

Angle bisector of a triangle

Median of a triangle

Right angles

A line segment drawn from any vertex of a triangle ,perpendicu…

A line segment that bisects any angle of the triangle and term…

A line segment that joins any vertex of the triangle to the mi…

all right angles are congruent

Altitude of a triangle

A line segment drawn from any vertex of a triangle ,perpendicu…

Angle bisector of a triangle

A line segment that bisects any angle of the triangle and term…

Side Side Side Congruence (SSS)

Side Angle Side Congruence (SAS)

Angle Side Angle Congruence (ASA)

Angle Angle Side Congruence (AAS)

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

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

If two angles and the included side of one triangle are congru…

If two angles and the non-included side of one triangle are co…

Side Side Side Congruence (SSS)

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

Side Angle Side Congruence (SAS)

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

Angle Bisector

Segment Bisector

Midpoint

Perpendicular

Any line or part of aline that divides an angle into two congr…

Any line or part of a line that intersects a segment at the mi…

A point that divides a segment into two congruent segments.

Two lines that intersect to form right angles.

Angle Bisector

Any line or part of aline that divides an angle into two congr…

Segment Bisector

Any line or part of a line that intersects a segment at the mi…

CPCTC

CSSPT

AA~

SAS~

Corresponding parts of congruent triangles ar congruent

Corresponding sides of similar triangles are proprtional

Angle angle similar

Side angle side similar

CPCTC

Corresponding parts of congruent triangles ar congruent

CSSPT

Corresponding sides of similar triangles are proprtional

congruent triangles

third angles theorem

reflexive property of triangle congruen…

symmetric property of triangle congruen…

triangles that have the same shape and size

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

any segment equals itself

if triangle ABC is congruent to triangle EFG, triangle EFG is…

congruent triangles

triangles that have the same shape and size

third angles theorem

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

what does a bisector do

what does a median do

what does a midpoint do

what does a perpendicular do

divides a line seg(or angle) into 2 congruent line seg(or angl…

divides a line seg(or angle) into 2 congruent line seg(or angl…

divides a line seg(or angle) into 2 congruent line seg(or angl…

creates right angles

what does a bisector do

divides a line seg(or angle) into 2 congruent line seg(or angl…

what does a median do

divides a line seg(or angle) into 2 congruent line seg(or angl…

SAS

SSS

ASA

HL

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

If the three sides of one triangle is congruent to threats sid…

If two angles and the included side of one triangle are congru…

If the hypotenuse and the leg of one triangle are congruent to…

SAS

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

SSS

If the three sides of one triangle is congruent to threats sid…

CPCTC

SSS

SAS

ASA

Corresponding Parts of Congruent Triangles are Congruent

Side Side Side - have to prove all 3 sides are congruent

Side Angle Side - 2 congruent sides with angles they create co…

Angle Side Angle - 2 congruent angles with the sides between t…

CPCTC

Corresponding Parts of Congruent Triangles are Congruent

SSS

Side Side Side - have to prove all 3 sides are congruent

Definition of Congruence

Definition of Midpoint

Definition of Angle Bisector

Definition of Perpendicular Lines

Having the exact same size and shape and there by having the e…

The point that divides a segment into two congruent segments

The ray that divides an angle into two congruent angles

Lines that intersect to form right angles or 90 degrees

Definition of Congruence

Having the exact same size and shape and there by having the e…

Definition of Midpoint

The point that divides a segment into two congruent segments