Preparing for the Regents Examination Geometry, AK

Part III
For each question, use the specific criteria to award a maximum of 4 credits.
15 Score Explanation
2 a BCA ACD
2 b −−−
AD −−
AB
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
16 Score Explanation
4 The following proof or another appropriate proof is given.
Statements Reasons
1. −−
DB −−
AC , −−−
AD −−−
DC 1. Given.
2. DBA and ADC are right
angles.
3. 1 is complementary to x. 3. Given.
2. Definition of perpendicular lines.
4. m1 mx 90 4. Definition of complementary angles.
5. mx m2 mADC 5. Addition postulate.
6. mx m2 90 6. Substitution postulate.
7. m1 mx mx m2 7. Substitution postulate.
8. m1 m2 8. Subtraction postulate.
9. 1 2 9. Angles with equal measures are congruent.
3 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or
one statement is missing.
2 An appropriate proof with correct conclusion is used, but multiple reasons are faulty or
multiple steps are missing or have errors.
1 1 2 and a reason is given, but no appropriate method is shown.
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
17 Score Explanation
2 a Since −−−
CD bisects −−
AB at E, −−
AE −−
BE . Given 1 2, and because vertical angles are
congruent, AEC BED. Hence, by ASA, ACE BDE.
1 a A correct conclusion is reached and reason is given, but no appropriate method
is shown.
2 b Given 1 2 and −−
LN −−−
MO . LNM and LNO are right angles. Since right
angles are congruent, LNM LNO. −−
LN −−
LN by the reflexive property of
congruence. Therefore, by ASA, LMN LON.
1 b A correct conclusion is reached and reason is given, but no appropriate method
is shown.
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
Chapters 1–5 103