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 _____
Name: Date:
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 _____ _____
Name: Date:
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 _____ _____