Mary is asked to prove that
is congruent to
in the
figure.
She writes the following proof:
Step 1:
is congruent to
because that
information is given in the figure.
Step 2:
is perpendicular to
because that
information is given in the figure.
Step 3:
is congruent to
by the reflexive
property.
Step 4: ADB and CDB are right angles because
perpendicular lines meet to form right angles.
Step 5: ADB is congruent to CDB because all Which of the following answer
choices is correct for Step 6right angles are congruent.
A. ?ABD is congruent to ?CBD by
Step 6: _____________________________
SSS.
Step 7: By CPCTC,
is congruent to
.
B. ?ABD is congruent to ?CBD by
SAS.
C. ?ABD is congruent to ?CBD by
AAS.
D. ?ABD is congruent to ?CBD by
ASA.MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles What can you prove to be true about the two triangles in the
diagram provided
A. ?ABC is similar but not congruent to ?XYZ.
B. ?ABC is similar and congruent to ?XYZ.
C. ?ABC is congruent but not similar to ?XYZ.
D. There is not enough information to conclude any
relationship between ?ABC and ?XYZ.MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles Given the figure, which of the answer choices is
TRUE
A. ?ABC
B. ?CBA
C. ?CAB
D. ?ABCand
and
and
and?XYZ
?ZYX
?ZXY
?ZYXare
are
are
arecongruent
congruent
congruent
congruentby
by
by
byASA
ASA
AAS
AASMA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles Given the figure, which of the answer choices is
TRUE
A. ?CBA and ?DEC
by CPCTC.
B. ?ABC and ?DEC
by CPCTC.
C. ?BCA and ?ECD
by CPCTC.
D. ?CAB and ?CDE
by CPCTC.are congruent by ASA andis congruent toare congruent by ASA andis congruent…