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Home > GC > Chapter 7 > Lesson 7.3.2 > Problem 7-110


Tomika remembers that the diagonals of a rhombus are perpendicular to each other.

  1. Graph if , , , and . Is a rhombus? Show how you know.

    Compare the lengths of all four sides.

  2. Find the equations of the lines on which the diagonals lie. That is, find the equations of and .

    Find the slopes and the -intercepts of the lines and write the equations of the lines in slope-intercept form ().

    Equation for line :

  3. Compare the slopes of and . What do you notice?

    What do you know about the slopes of parallel and perpendicular lines?

Use the eTool below to visualize the problem and answer all the parts.