Regents Exam Questions by Topic Page 1 1. 060925ge, P.I. G.G.17 Which illustration shows the correct construction of an angle bisector? [A] 3. 060022a, P.I. G.G.17 Using only a ruler and compass, construct the bisector of angle BAC in the accompanying diagram. [B] [C] [D] 4. fall0804ge, P.I. G.G.18 The diagram below shows the construction of the perpendicular bisector of AB. 2. fall0832ge, P.I. G.G.17 the bisector of the angle shown below. [Leave all construction marks.] Which statement is not true? [A] AC CB [B] CB 1 AB 2 [C] AC 2 AB [D] AC CB AB
Regents Exam Questions by Topic Page 2 5. 060734a, P.I. G.G.18 the perpendicular bisector of AB shown below. Show all construction marks. 7. 010420a, P.I. G.G.19 In the accompanying diagram of a construction, what does PC represent? [A] an altitude drawn to AB 6. 060435a, P.I. G.G.18 Using only a compass and a straightedge, construct the perpendicular bisector of AB and label it c. [Leave all construction marks.] [B] the perpendicular bisector of AB [C] the bisector of APB [D] a median drawn to AB 8. 080835a, P.I. G.G.19 the line that is perpendicular to AB and that passes through point P. Show all construction marks.
Regents Exam Questions by Topic Page 3 9. 060930ge, P.I. G.G.19 a line that passes through point P and is perpendicular to line m. [Leave all construction marks.] 11. 060325a On the accompanying diagram of ABC, use a compass and a straightedge to construct a median from A to BC. 12. 010225a Construct a triangle with sides of lengths a, b, and c, as shown below. Be sure the longest side of your triangle lies on PQ and that point P is one of the triangle's vertices. [Show all arcs necessary for a valid construction.] 10. fall0807ge, P.I. G.G.19 The diagram below illustrates the construction of PS parallel to RQ through point P. Which statement justifies this construction? [A] m 1 m 2 [B] m 1 m 3 [C] PR RQ [D] PS RQ
Regents Exam Questions by Topic Page 1 [1] C [2] [3] [4] C [5] [2] A correct construction is drawn showing all appropriate arcs, and the angle bisector is drawn. [1] All construction arcs are drawn, but the angle bisector is not drawn. or [1] The appropriate method is demonstrated, but one construction error is made, such as not extending the sides to show points of intersection by the arc. [2] A correct construction is drawn to find the midpoint of BC, showing both sets of arcs and a line connecting A with the midpoint. [1] A correct construction is drawn to find the midpoint of BC, but the median is not drawn. or [1] The construction is appropriate, but a compass and a straightedge are not used. [0] No construction arcs are shown. the arcs intersecting above and below AB, and the perpendicular line is drawn. [1] All of the construction arcs are drawn, but the perpendicular line is not drawn. [6] [7] A [8] [9] [10] A the arcs intersecting above and below AB, and line c is drawn. [1] A correct construction is drawn, but line c is not labeled. [0] A drawing that is not a construction is shown with arc marks sketched. all necessary arcs. [1] All of the construction arcs are drawn, but the perpendicular line is not drawn. or [1] A line perpendicular to AB is constructed correctly, but it does not pass through point P. [2] A correct construction is drawn showing all appropriate arcs, and the perpendicular line is drawn. [1] Appropriate work is shown, but one construction error is made, such as not drawing the perpendicular line. or [1] Appropriate work is shown, but one conceptual error is made.
Regents Exam Questions by Topic Page 2 [11] [12] [2] A correct construction is drawn to find the midpoint of BC, showing both sets of arcs and a line connecting A with the midpoint. [1] A correct construction is drawn to find the midpoint of BC, but the median is not drawn. or [1] The construction is appropriate, but a compass and a straightedge are not used. [0] No construction arcs are shown. [2] A correct triangle with the longest side on PQ and a vertex at P is drawn, and three appropriate arcs are shown. [1] A correct triangle is constructed on PQ, but P is not a vertex. or [1] A correct triangle is constructed with no sides on PQ. [0] A triangle that is not congruent to the correct solution or a triangle with less than three arcs is shown.