# math

## math

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 6?
right angles are congruent.
A. ΔABD is congruent to ΔCBD by
Step 6: _____________________________
SSS.
Step 7: By CPCTC,
is congruent to
.
B. ΔABD is congruent to ΔCBD by
SAS.
C. ΔABD is congruent to ΔCBD by
AAS.
D. ΔABD is congruent to ΔCBD 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. ΔABC is similar but not congruent to ΔXYZ.
B. ΔABC is similar and congruent to ΔXYZ.
C. ΔABC is congruent but not similar to ΔXYZ.
D. There is not enough information to conclude any
relationship between ΔABC and ΔXYZ.

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. ΔABC
B. ΔCBA
C. ΔCAB
D. ΔABC

and
and
and
and

ΔXYZ
ΔZYX
ΔZXY
ΔZYX

are
are
are
are

congruent
congruent
congruent
congruent

by
by
by
by

ASA
ASA
AAS
AAS

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. ΔCBA and ΔDEC
by CPCTC.
B. ΔABC and ΔDEC
by CPCTC.
C. ΔBCA and ΔECD
by CPCTC.
D. ΔCAB and ΔCDE
by CPCTC.

are congruent by ASA and

is congruent to

are congruent by ASA and

is congruent...