CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

5.8. Indirect Proof in Algebra and Geometry http://www.ck12.org



  • Indirect Proof


Chapter Review


IfCandEare the midpoints of the sides they lie on, find:



  1. The perpendicular bisector ofF D.

  2. The median ofF D.

  3. The angle bisector of^6 FAD.

  4. A midsegment.

  5. An altitude.

  6. Trace 4 FADonto a piece of paper with the perpendicular bisector. Construct another perpendicular bisector.
    What is the point of concurrency called? Use this information to draw the appropriate circle.

  7. Trace 4 FADonto a piece of paper with the angle bisector. Construct another angle bisector. What is the point
    of concurrency called? Use this information to draw the appropriate circle.

  8. Trace 4 FADonto a piece of paper with the median. Construct another median. What is the point of
    concurrency called? What are its properties?

  9. Trace 4 FADonto a piece of paper with the altitude. Construct another altitude. What is the point of
    concurrency called? Which points of concurrency can lie outside a triangle?

  10. A triangle has sides with lengthx+6 and 2x−1. Find the range of the third side.


Texas Instruments Resources


In the CK-12 Texas Instruments Geometry FlexBook® resource, there are graphing calculator activities designed
to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9690.

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