Name: Date:

RIGID MOTIONS AND CPCTCVOCABULARY

Rigid Motion – a series of translations, reflections and rotations that can be used to show that two triangles are congruent.

CPCTC – an acronym for Corresponding Parts of Congruent Triangles are Congruent. Two triangles are congruent if and only if their corresponding side

lengths and corresponding angle measures are congruent.For #1-6, describe the rigid motion ( translation, reflection, 90 rotation, 180 rotation)

and complete the corresponding parts that make the pair of triangles congruent.Diagram Rigid Motion Corresponding Parts

1. MLW ______ by the

rigid motion of a

______________________.

ML _____ ,

LW _____ ,

WM _____

2. STL ______ by the

rigid motion of a

______________________.

STL _____ ,

TL _____ ,

SLT _____

3. WSH ______ by the

rigid motion of a

______________________.

WS _____ ,

WSH _____ ,

SH _____

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RIGID MOTIONS AND CPCTC4. FLA ______ by the

rigid motion of a

______________________.

FLA _____ ,

AF _____ ,

FL _____

5. ATL ______ by the

rigid motions of

a ______________________ and

a ______________________.

TAL _____ ,

AL _____ ,

ALT _____

6.DET ______ by the

rigid motions of

a ______________________ and

a ______________________.

DE _____ ,

ET _____ ,

TD _____

VOCABULARY

Midpoint – the point on the center of a line segment that bisects the segment into two congruent segments.

Vertical Angles – a pair of congruent angles that are 180 rotations of each other about a common vertex.

For #7-8, describe the rigid motion and complete the corresponding parts that make the pair of triangles congruent.

Diagram Rigid Motion Corresponding Parts7.

WMO ______ by the

rigid motion of a …

M is the midpoint of WN means _____ _____,

Vertical Angles are congruent means _____ _____,

M is the midpoint of OE means _____ _____

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RIGID MOTIONS AND CPCTC8.

SAT ______ by therigid motion of a …

A is the midpoint of SR means _____ _____,

Vertical Angles are congruent means _____ _____,

A is the midpoint of WT means _____ _____

VOCABULARYAngle Bisector – the ray in the center of an angle that bisects the angle into

two congruent angles.Reflexive Sides – a side that is shared by two triangles either by reflection or a

180 rotation.For #9-10, describe the rigid motion and complete the corresponding parts

that make the pair of triangles congruent.Diagram Rigid Motion Corresponding Parts

9.STA ______ by the

rigid motion of a …

SA is the angle bisector of TSAmeans _____ _____,

Reflexive side are congruent means _____ _____,

AS is the angle bisector of TAOmeans _____ _____

10.TIK ______ by the

rigid motion of a …

IK is the angle bisector of TIEmeans _____ _____,

Reflexive side are congruent means _____ _____,

KI is the angle bisector of TKEmeans _____ _____

VOCABULARYMidpoint – the point on the center of a line segment that bisects the segment

into two congruent segments.Corresponding Angles of Parallel Lines – a pair of congruent angles that are

translations of each other on a pair of parallel lines intersected by a transversal.

For #11-12, describe the rigid motion and complete the corresponding parts that make the pair of triangles congruent.

Name: Date:

RIGID MOTIONS AND CPCTCDiagram Rigid Motion Corresponding Parts

11.DLB ______ by the

rigid motion of a …

Corresponding angles are congruentmeans _____ _____,

B is the midpoint of DT means _____ _____,

Corresponding angles are congruentmeans _____ _____,

12.PDR ______ by the

rigid motion of a …

Corresponding angles are congruentmeans _____ _____,

R is the midpoint of PL means _____ _____,

Corresponding angles are congruentmeans _____ _____,

VOCABULARYAlternate Interior Angles – a pair of congruent angles that are 180

rotations of each other on a pair of parallel lines intersected by a transversal.

Reflexive Sides – a side that is shared by two triangles either by reflection or a 180 rotation.

For #13-14 describe the rigid motions and complete the corresponding parts that make the pair of triangles congruent.

Diagram Rigid Motions Corresponding Parts13.

CUB ______ by the

rigid motions of a …

Alternate interior angles are congruentmeans _____ _____,

Reflexive side are congruent means _____ _____,

Alternate interior angles are congruentmeans _____ _____

14.

LQU ______ by the

rigid motions of a …

Alternate interior angles are congruentmeans _____ _____,

Reflexive side are congruent means _____ _____,

Alternate interior angles are congruentmeans _____ _____