MODEL RESPONSE SET - Regents Examinations

1 The University of the State of New YorkREGENTS HIGH SCHOOL EXAMINATIONGEOMETRYT uesday,January 23, 2018 9:15 to 12:15 RESPONSE SETT able of ContentsQuestion 25 .. 2 Question 26 .. 8 Question 27 .. 13 Question 28 .. 19 Question 29 .. 23 Question 30 .. 27 Question 31 .. 33 Question 32 .. 37 Question 33 .. 43 Question 34 .. 49 Question 35 .. 57 Question 25 Score 2:The student gave a complete and correct Jan. 18[2]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACQ uestion 25 Score 2:The student gave a complete and correct Jan.

2 18[3]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACQ uestion 25 Score 1:The student wrote a proof that demonstrates a good understanding of the method ofproof, but some statements and/or reasons are missing or Jan. 18[4]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACQ uestion 25 Score 1:The student did not state a correct reason of congruency in step Jan. 18[5]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACQ uestion 25 Score 0:The student did not state enough correct relevant statements and/or reasons to concludethe triangles are congruent by Jan.

3 18[6]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACQ uestion 25 Score 0:The student did not show enough correct relevant work to receive any Jan. 18[7]25 Given: Parallelogram ABCD with diagonal drawnProve: ABC CDAADBCACG eometry Jan. 18[8]Question 26 Score 2:The student gave a complete and correct diagram below shows circle Owith diameter . Using a compass and straightedge, construct a square that is inscribed in circle O. [Leave all construction marks.]OABABG eometry Jan. 18[9]Question 26 Score 2:The student gave a complete and correct diagram below shows circle Owith diameter.

4 Using a compass and straightedge, construct a square that is inscribed in circle O. [Leave all construction marks.]OABABG eometry Jan. 18[10]Question 26 Score 1:The student drew an appropriate construction, but drew the square diagram below shows circle Owith diameter . Using a compass and straightedge, construct a square that is inscribed in circle O. [Leave all construction marks.]OABABG eometry Jan. 18[11]Question 26 Score 1:The student drew an appropriate construction, but did not draw the diagram below shows circle Owith diameter.

5 Using a compass and straightedge, construct a square that is inscribed in circle O. [Leave all construction marks.]OABABG eometry Jan. 18[12]Question 26 Score 0:The student had a completely incorrect diagram below shows circle Owith diameter . Using a compass and straightedge, construct a square that is inscribed in circle O. [Leave all construction marks.]OABABG eometry Jan. 18[13]Question 27 Score 2:The student gave a complete and correct : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease?

6 Explain Jan. 18[14]Question 27 Score 2:The student gave a complete and correct : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease? Explain Jan. 18[15]Question 27 Score 1:The student wrote a partially correct : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease? Explain Jan. 18[16]Question 27 Score 1:The student wrote an incomplete : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease? Explain Jan.

7 18[17]Question 27 Score 0:The student wrote increases, but no explanation was : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease? Explain Jan. 18[18]Question 27 Score 0:The student had a completely incorrect : Right triangle ABCwith right angle at CIf sin Aincreases, does cos Bincrease or decrease? Explain Jan. 18[19]Question 28 Score 2:The student gave a complete and correct the diagram below, the circle has a radius of 25 inches. The area of the unshadedsector is 500 in2.

8 Determine and state the degree measure of angle Q, the central angle of the shaded inGeometry Jan. 18[20]Question 28 Score 1:The student calculated the measure of the central angle for the unshaded the diagram below, the circle has a radius of 25 inches. The area of the unshadedsector is 500 in2. Determine and state the degree measure of angle Q, the central angle of the shaded inGeometry Jan. 18[21]Question 28 Score 1:The student wrote the measure of the central angle in radian the diagram below, the circle has a radius of 25 inches.

9 The area of the unshadedsector is 500 in2. Determine and state the degree measure of angle Q, the central angle of the shaded inGeometry Jan. 18[22]Question 28 Score 0:The student did not show enough correct relevant work to receive any the diagram below, the circle has a radius of 25 inches. The area of the unshadedsector is 500 in2. Determine and state the degree measure of angle Q, the central angle of the shaded inGeometry Jan. 18[23]Question 29 Score 2:The student gave a complete and correct machinist creates a solid steel part for a wind turbine engine.

10 The part has a volume of 1015 cubic centimeters. Steel can be purchased for $ per kilogram, and has a density of the machinist makes 500 of these parts, what is the cost of the steel, to the nearest dollar?Geometry Jan. 18[24]Question 29 Score 2:The student gave a complete and correct machinist creates a solid steel part for a wind turbine engine. The part has a volume of 1015 cubic centimeters. Steel can be purchased for $ per kilogram, and has a density of the machinist makes 500 of these parts, what is the cost of the steel, to the nearest dollar?