Preparing for the Regents Examination Geometry, AK

20 Score Explanation
6 The following proof or another appropriate proof is given.
Statements Reasons
1. AE CE 1. Given.
2. ___
AE ___
CE 2. Congruent arcs have congruent chords.
3. ABE EBD 3. Congruent central angles have congruent
chords.
4. −−
FE is tangent to O at E. 4. Given.
5. FEB is a right angle. 5. Definition of a tangent.
6. FEB and BED are a linear
pair.
7. FEB and BED are
supplementary.
6. Definition of linear pair.
7. Two angles that form a linear pair are
supplementary.
8. BED is a right angle. 8. A supplement to a right angle is a right
angle.
9. Diameter −−−
BOE 9. Given.
10.
BCE is a semicircle. 10. Definition of a semicircle.
11. BAE is a right angle. 11. An angle inscribed in a semicircle is always a
right angle.
12. BAE BED 12. Right angles are congruent.
13. ABE EBD 13. AA.
14. BE _
BA
BD _
BE
14. Corresponding parts of similar triangles are in
proportion.
5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or
one statement is missing.
4 A faulty conclusion or no conclusion is drawn from the statements and reasoning.
3 An appropriate proof with correct conclusion is shown, but two reasons are faulty or
two steps are missing.
2 An appropriate proof with correct conclusion is shown, but multiple reasons are faulty
or multiple steps are missing or have errors.
1 BE _
BD
BA _ , and a reason is given, but no appropriate method is shown.
BE
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
Chapters 1–14 137