Bases and Heights of Parallelograms

Knowing the Base of a Parallelogram.

  • Drag F to create a family of parallelograms with the same base and the same height.​
  • Drag E along the line to create a family of parallelograms with the same height.

Measuring the Height of a Parallelogram.

  • Click on the point tool and create a point on the length of the parallelogram.​
  • Create another point directly opposite the point you created. ​
  • Create a third point at a vertex of the figure.​
  • Use the segment tool to connect the first 2 points you created.​
  • Use the angle tool to measure the insert the angle the segment makes with the base. Start from the last point and move clockwise.​
  • Adjust the vertical line to make 90 degrees with the base.​
  • Click on the distance tool and measure the height of the figure.

(A). Study the parallelograms below and answer the following question. You can click on the (+) to enlarge the figures if necessary.

(B). Study the examples and non-examples of bases and heights of parallelograms below.

  • Examples: The dashed segments in these drawings represent the corresponding height for the given base.
  • Non-examples: The dashed segments in these drawings do not represent the corresponding height for the given base.

Select all the statements that are true about bases and heights in a parallelogram.

(1). For each parallelogram here, use the SEGMENT tool to construct its base and height. Drag a label next to each segment to denote what it represents.

(2). For the parallelograms above, record these lengths in the table below. In the last row, write an expression (using b and h) for the area of any parallelogram.