CPM Homework Banner

Home > GC > Chapter 7 > Lesson 7.1.3 > Problem 7-32


Graph and connect the points , , , and to form .  

  1. What specific type of shape is quadrilateral ? Justify your conclusion.

    Use the Pythagorean Theorem and the triangles shown to determine the lengths of and HI.
    This will help you determine the type of shape.

    What type of quadrilateral (other than a square) has sides all of the same length?

  2. Find the equations of the diagonals and .

    Use slope triangles to find the equations for the diagonals.

  3. Compare the slopes of the diagonals. How do the diagonals of a rhombus appear to be related?

    If one line has a slope that is the opposite of the reciprocal of the slope of another line, the two lines are perpendicular.

  4. Find if quadrilateral is rotated clockwise () about the origin.

  5. Find the area of quadrilateral .

Move the points in the eTool to their given coordinates. The shape will appear when all the points are in their proper places.
Click the link at right for the full eTool version: 7-32 HW eTool