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 right
Which of the following answer choices is
angles are congruent.
correct for Step 6?
Step 6: _____________________________
A. ΔABD is congruent to ΔCBD by 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 and ΔXYZ are congruent by ASA
B. ΔCBA and ΔZYX are congruent by ASA
C. ΔCAB and ΔZXY are congruent by AAS
D. ΔABC and ΔZYX are congruent by 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.
B.
C.
D.
ΔCBA and ΔDEC are congruent by ASA and
ΔABC and ΔDEC are congruent by ASA and
ΔBCA and ΔECD are congruent by AAS and
ΔCAB and ΔCDE are congruent by AAS and
is congruent to
is congruent to
is congruent to
is congruent to
by CPCTC.
by CPCTC.
by CPCTC.
by CPCTC.
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles
MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of
corresponding parts of congruent triangles