- Submitted By: Alyssa-Ebanks
- Date Submitted: 05/31/2015 2:12 PM
- Category: English
- Words: 486
- Page: 2

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...