6.1.5 Classwork

I can identify the base and height of a parallelogram and explain the area formula.

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?

Stop here! Head back to Zoom and wait for instructions.

Study the examples and non-examples of [b]bases[/b] and [b]heights[/b][color=#0c0300] of parallelograms.[br][/color][list][*]Examples: The dashed segments in these drawings represent the corresponding height for the given base.[/*][/list][br][center][img width=315,height=247]https://lh3.googleusercontent.com/9q2HsRJttm9IFRcc2xJFUDSRcxwY9_yFf8hz1YIy9GhZWt1txhDi4yUZz1_ydiyORzOdYCf0qpAPeYCV6ZaX485rU_L7s0ieaTJewTOTVlwddX_4KgJG9fkvX8WbqPZXZjpxc3Ub[/img][/center][br][list][*]Non-examples: The dashed segments in these drawings do [i]not[/i] represent the corresponding height for the given base.[/*][/list][center][img width=318,height=251]https://lh4.googleusercontent.com/E_zlbivvcppz-GQHnQfcnHa64Gh3l2hbaTbQg_cRmuXcnFzPOA3FhWSB5yR9nAUky9CRQ7l7n6ukSTCtoueZzsm2j4FHSFwp0CYyo0XicvU31Q3Q8bXqEVEFJUBhmzqF4tRHWOCl[/img][/center]

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

Any side of a parallelogram can be a base.[br] Only a horizontal side of a parallelogram can be a base. A height can be drawn outside of the parallelogram, as long as it is drawn at a 90-degree angle to the base.[br] A base cannot be extended to meet a height.[br] A height can be drawn at any angle to the side chosen as the base.[br] A base and its corresponding height must be perpendicular to each other.[br] A height can only be drawn inside a parallelogram.[br]

Five students labeled a base [i]b[/i] and a corresponding height [i]h[/i] for each of these parallelograms. [br][br][img width=458,height=268]https://lh6.googleusercontent.com/dstBy0HSNeckUxaHb4pc8CgReTGS4RjqF6hLd0cs4wM0KbZEUKMSgBo_rb_jO8ZlPGyIhh6KxboctQ23dN1t4E0f7AiYhZKvNmSuFMPywzabt6WiiWPQL_oLBMteMaV4RqeWY7FJ[/img][br][br]Which drawings are correctly labeled? Check all that apply:

C A E B D

Explain how you know why the these setups you selected above are correct.

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.