CK12 - Geometry

(Marvins-Underground-K-12) #1

  1. If you add diagonalsto , wherewill they intersect?


Use the figurebelowfor questions7-11. Polygon is a regularpolygon.Find eachindicated
measurement.


7.

8.

9.


  1. Whatkind of triangleis?

  2. Copypolygon and add auxiliarylines to makeeachof the following:


a. a parallelogram

b. a trapezoid

c. an isoscelestriangle

Answers



  1. [Diff: 1]

  2. [Diff: 1]

  3. Slopesof and both = 1 [Diff: 1]

  4. Both = -1 [Diff: 2]

  5. This figureis aparallelogramsinceoppositesideshaveequalslopes(i.e., oppositesidesare parallel).


Additionally, it is arectanglebecauseeachangleis a 90oangle.We knowthis becausethe slopesof adjacent
sidesare oppositereciprocals[Diff: 2].



  1. The diagonalswouldintersectat (0,0).One way to see this is to use the symmetryof the figure—each


corneris a 90orotationaroundthe originfrom adjacentcorners[Diff: 3].



  1. [Diff: 2]

  2. [Diff: 3]

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