CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 1. Basics of Geometry


21.


−→


ABcould be read “rayAB” or “rayBA.”
22.

←→


ABcould be read “lineAB” or “lineBA.”


  1. Theorems are proven true with postulates.

  2. Two of the above statements are “never.” Explain why.

  3. Four of the above statements are “sometimes.” Explain why.


For 26-28, describe the following real world objects in geometric terms.



  1. The walls of your classroom and the intersections of these walls with each other and the floor or ceiling. What
    about where two walls and the floor intersect?

  2. The spokes of a bicycle wheel. What about their intersection?

  3. Cities on a map. What geometric figure would you draw to measure the distance between them?


In Algebra you plotted points on the coordinate plane and graphed lines. For 29-35, use graph paper and follow the
steps to make the diagram on the same graph.



  1. Plot the point (2, -3) and label itA.

  2. Plot the point (-4, 3) and label itB.

  3. Draw the segmentAB.

  4. Locate pointC, the intersection of this line with thex−axis.

  5. Draw the ray


−→


CDwith pointD( 1 , 4 ).

Review Queue Answers



  1. Examples could be triangles, squares, rectangles, lines, circles, points, pentagons, stop signs (octagons), boxes
    (prisms, or dice (cubes).

  2. Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window,
    wall or a door.
    a. 4x− 7 = 29
    4 x= 36
    x= 9
    b. 2(− 3 x+ 5 )− 8 =−x+ 17
    − 6 x+ 10 − 8 =−x+ 17
    − 6 x+ 2 =−x+ 17
    − 5 x= 15
    x= 3
    c. Factor,x= 5 ,− 3
    d.x=± 11

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