- If you add diagonalsto , wherewill they intersect?
Use the figurebelowfor questions7-11. Polygon is a regularpolygon.Find eachindicated
measurement.
7.
8.
9.
- Whatkind of triangleis?
- Copypolygon and add auxiliarylines to makeeachof the following:
a. a parallelogramb. a trapezoidc. an isoscelestriangleAnswers
- [Diff: 1]
- [Diff: 1]
- Slopesof and both = 1 [Diff: 1]
- Both = -1 [Diff: 2]
- This figureis aparallelogramsinceoppositesideshaveequalslopes(i.e., oppositesidesare parallel).
Additionally, it is arectanglebecauseeachangleis a 90oangle.We knowthis becausethe slopesof adjacent
sidesare oppositereciprocals[Diff: 2].
- The diagonalswouldintersectat (0,0).One way to see this is to use the symmetryof the figure—each
corneris a 90orotationaroundthe originfrom adjacentcorners[Diff: 3].
- [Diff: 2]
- [Diff: 3]