MODEL RESPONSE SET - nysedregents.org

1 The university of the State of New york REGENTS high school examination . geometry . Wednesday, August 14, 2019 12:30 to 3:30 MODEL RESPONSE SET. Table of Contents Question 25 .. 2. Question 26 .. 10. Question 27 .. 16. Question 28 .. 22. Question 29 .. 30. Question 30 .. 37. Question 31 .. 43. Question 32 .. 49. Question 33 .. 56. Question 34 .. 64. Question 35 .. 75. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [2]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 2: The student gave a complete and correct RESPONSE .

2 geometry Aug. '19 [3]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [4]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [5]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 1: The student made a transcription error. The student wrote an appropriate explanation. geometry Aug. '19 [6]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36.

3 A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 1: The student found m B 46 , but did not write an explanation. geometry Aug. '19 [7]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 1: The student found m B 46 , but the explanation is incomplete. geometry Aug. '19 [8]. Question 25. 25 In parallelogram ABCD shown below, m DAC 98 and m ACD 36 . A B. 98 . 36 . D C. What is the measure of angle B? Explain why. Score 0: The student gave a completely incorrect RESPONSE . geometry Aug. '19 [9]. Question 26. 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below. iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation?

4 Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [10]. Question 26. 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below. iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation? Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [11]. Question 26. 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below. iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation? Score 1: The student wrote a correct trigonometric equation, but no further correct work was shown. geometry Aug. '19 [12]. Question 26.

5 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below. iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation? Score 1: The student did not round the answer to the nearest tenth of a degree. geometry Aug. '19 [13]. Question 26. 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below. iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation? Score 0: The student gave a completely incorrect RESPONSE . geometry Aug. '19 [14]. Question 26. 26 An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled below.

6 Iles 25 m 5 miles To the nearest tenth of a degree, what was the angle of elevation? Score 0: The student gave a completely incorrect RESPONSE . geometry Aug. '19 [15]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [16]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [17]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 2: The student gave a complete and correct RESPONSE .

7 geometry Aug. '19 [18]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 1: The student did not state point D as the center of rotation. geometry Aug. '19 [19]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 1: The student did not state the origin as the center of rotation. geometry Aug. '19 [20]. Question 27. 27 On the set of axes below, rABC rDEF. y C B. A. D. x E F. Describe a sequence of rigid motions that maps rABC onto rDEF. Score 0: The student gave a completely incorrect RESPONSE . geometry Aug. '19 [21]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4).

8 Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [22]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [23]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [24]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC.

9 [The use of the set of axes below is optional.]. y x Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [25]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x 1. Score 1: The student made an error by not multiplying the product of the base and height by __. 2.. geometry Aug. '19 [26]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 1: The student graphed rABC incorrectly, but found the area of the triangle of equal difficulty. geometry Aug. '19 [27]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4).

10 Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 0: The student did not show enough correct relevant work to receive any credit. geometry Aug. '19 [28]. Question 28. 28 The vertices of rABC have coordinates A( 2, 1), B(10, 1), and C(4,4). Determine and state the area of rABC. [The use of the set of axes below is optional.]. y x Score 0: The student did not show enough correct relevant work to receive any credit. geometry Aug. '19 [29]. Question 29. 29 Using the construction below, state the degree measure of CAD. Explain why. C. D. A B. Score 2: The student gave a complete and correct RESPONSE . geometry Aug. '19 [30]. Question 29. 29 Using the construction below, state the degree measure of CAD. Explain why. C. D. A B. Score 2: The student gave a complete and correct RESPONSE .