Select [b]all [/b]the segments that could represent the height if side [math]n[/math] is the base.[br][br][img width=327,height=224]https://lh6.googleusercontent.com/KVzNY1DPklPndNHbB7qTZf_apZqxCuugdHcZeGSJ82iub8bWYmoAeOccglK9U65MbAtx1Vt92WqsMR2hBKd6Q1faiQDtcWEyu43Ur0l0nbIsJa1SuxesPz3Lz2wrJd-Mo7yLydUs[/img]

Two copies of this triangle are used to compose a parallelogram. Which parallelogram [i]cannot[/i] be a result of the composition? If you get stuck, consider using tracing paper.[br][br][img width=251,height=158]https://lh4.googleusercontent.com/nYsR_Zk662PFNaRfRYflv3VPK8MqFCJGWypivfG8NfOUwIFJ9NuWMz4rPm9Gl04MKR7eNDQ1Fvl2xAS8rqwjF4gqB3pwpiot93Twjsq5RYHiOUJo3erTONeONzLY2PZGtdhCIxqX[/img] [img width=331,height=159]https://lh5.googleusercontent.com/Q2cqrx6V0j2ELiaN5bLeihOl-_9vNgnj42VzkvAWaJ--l6SGiFEYbnYxBs0bg_LSRfmmG-ZEy81GdlivixzOcFHQsSV_vue_0VS44UIps2tPl_mlQMY76DgaFZJKGBjMsMTfkPG-[/img]

Triangle R is a right triangle. Can we use two copies of Triangle R to compose a parallelogram that is not a square?[br][br][img width=269,height=134]https://lh6.googleusercontent.com/gne-F2wEsH401BsBhgCdIOp1tt5tjRgqbzjI0KvrphMJjMds0CiZqMeCEy1P0GbCHYMPVwjDRHNlb-oSZXjxNPzeB9fayf1zJlEGbEkV4ddKysRpeCo5d1O3DNtrfga57bIKXj12[/img][br][br]If so, explain how. If not, explain why not.

A parallelogram has a base of 9 units and a corresponding height of [math]\frac{2}{3}[/math] units. What is its area?

A parallelogram has a base of 9 units and an area of 12 square units. What is the corresponding height for that base?

A parallelogram has an area of 7 square units. If the height that corresponds to a base is [math]\frac{1}{4}[/math] unit, what is the base?