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Quadrilateral ABCD is graphed below with A(- 3, 2), B(0, - 2), C(8, 4), and D(5, 8).

A) Calculate the slopes of each side of ABCD and of the two diagonals. Show your work and label your responses.

B) Explain mathematically how you know that the quadrilateral is or is not each of the following types of quadrilaterals:

  1. parallelogram
  2. rectangle
  3. rhombus
  4. square

Materials/Resources:

  • Calculator
  • HSPA Mathematics Reference Sheet

Techniques for PAT Scoring:
See item-specific sample response and scoring rubric A1307-004R for this PAT.


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