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Massachusetts Comprehensive Assessment System

2011, Grade 10 Mathematics

  Question 20: Open-Response no calculator allowed
Triangle JKL is shown on the coordinate plane below.
Triangle JKL on the coordinate plane. The coordinates of J are negative six, two. The coordinates of K are negative three, five. The coordinates of L are negative one, three.
Copy the coordinate plane and triangle JKL as shown onto the grid in your Student Answer Booklet. Triangle JKL is reflected over the y-axis.
  1. On your grid, draw triangle JKL′, the image of triangle JKL after it has been reflected over the y-axis. Be sure to label the vertices.
Triangle JKL′ is rotated 90° clockwise about the origin.
  1. On your grid, draw triangle JKL″, the image of JKL′ after it has been rotated 90° clockwise about the origin. Be sure to label the vertices.
  2. Suppose the vertices of JKL″ are reflected over the y-axis and then reflected over the x-axis. Do the vertices of the resulting triangle have the same coordinates as the vertices of triangle JKL? Show or explain how you got your answer.

Scoring Guide and Sample Student Work
Select a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Geometry concepts involved in drawing the results and interpreting transformations on figures in the coordinate plane. The student reflects and rotates a triangle on the coordinate plane and determines the relationship between the images and the original triangle.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in drawing the results and interpreting transformations on figures in the coordinate plane. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates fair understanding of the Geometry concepts involved in drawing the results and interpreting transformations on figures in the coordinate plane. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates only minimal understanding of the Geometry concepts involved in drawing the results and interpreting transformations on figures in the coordinate plane.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in drawing the results and interpreting transformations on figures in the coordinate plane to merit any points.

Note: There are 2 sample student responses for Score Point 4.

Grade 10 Mathematics

Question 17: Number Sense and Operations
Question 20: Geometry
Question 21: Patterns, Relations, and Algebra
Question 31: Patterns, Relations, and Algebra
Question 41: Data Analysis, Statistics, and Probability
Question 42: Measurement

Return to the MCAS 2011 Student Work Directory



Last Updated: March 21, 2016
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