IM 6.1.5 Lesson: Bases and Heights of Parallelograms
Tyler was trying to find the area of this parallelogram. Move the slider to see how he did it.
Elena was also trying to find the height of this parallelogram. Move the slider to see how she did it.
How are the two strategies for finding the area of a parallelogram the same? How they are different?
- 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.
Five students labeled a base b and a corresponding height h for each of these parallelograms.
Which drawings are correctly labeled? Check all that apply:
For each item you selected above, explain how you know why the these setups you selected above are correct.
This parallelogram is made of solid line segments. Its height and supporting lines are dashed. Interact with this, and answer the questions that follow.
For each parallelogram here, use the SEGMENT tool to construct its base and height. Drag a label next to each segment to denote which is which for each.
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.
What happens to the area of a parallelogram if the height doubles but the base is unchanged? If the height triples? If the height is 100 times the original? Feel free to use the app below to help answer this question.
What happens to the area if both the base and the height double? Both triple? Both are 100 times their original lengths? Feel free to use the app below to help answer this question.