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Massachusetts Comprehensive Assessment System

2013, Grade 10 Mathematics

  Question 42: Open-Response calculator allowed
Quadrilateral KLMN is shown on the coordinate grid below.
Quadrilateral KLMN is plotted on a coordinate grid. Vertex K is located at negative 6, negative 2; Vertex L is located at negative 2, negative 3; Vertex M is located at negative 3, negative 6; Vertex N is located at negative 7, negative 5
Copy the coordinate grid and quadrilateral KLMN exactly as shown onto the grid in your Student Answer Booklet.Quadrilateral KLMN will be translated 9 units up.
  1. On your grid, draw quadrilateral K′L′M′N′, the image of quadrilateral KLMN after it has been translated 9 units up. Be sure to label the vertices.
Quadrilateral K′L′M′N′ will be reflected over the y-axis.
  1. On your grid, draw quadrilateral K″L″M″N″, the image of quadrilateral K′L′M′N′ after it has been reflected over the y-axis. Be sure to label the vertices.
  2. Explain whether a 180° rotation of quadrilateral KLMN about the origin would result in vertices with the same coordinates as K″L″M″N″.
Quadrilateral K″L″M″N″ will be rotated 90° clockwise about point M″ to create quadrilateral K′′′L′′′M′′′N′′′.
  1. What are the coordinates of point K′′′?

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 a transformed figure given a rotation, reflection, or translation, and specifying a sequence of transformations that will carry a given figure onto another. The student translates, reflects, and rotates a quadrilateral on the coordinate plane and determines the relationship between the images and the original quadrilateral.
4
3 The student response demonstrates a good understanding of Geometry concepts involved in drawing a transformed figure given a rotation, reflection, or translation, and specifying a sequence of transformations that will carry a given figure onto another. 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 a fair understanding of the Geometry concepts involved in drawing a transformed figure given a rotation, reflection, or translation, and specifying a sequence of transformations that will carry a given figure onto another. 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 a transformed figure given a rotation, reflection, or translation, and specifying a sequence of transformations that will carry a given figure onto another.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in drawing a transformed figure given a rotation, reflection, or translation, and specifying a sequence of transformations that will carry a given figure onto another to merit any points.

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

Grade 10 Mathematics

Question 17: Statistics and Probability
Question 20: Number and Quantity
Question 21: Algebra and Functions
Question 31: Algebra and Functions
Question 41: Geometry
Question 42: Geometry

Return to the MCAS 2013 Student Work Directory



Last Updated: May 2, 2016
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