CK-12 Geometry Concepts

(Elliott) #1

7.3. Similar Polygons and Scale Factors http://www.ck12.org



  1. FindBC.

  2. FindCD.

  3. FindNP.


Determine if the following triangles and quadrilaterals are similar. If they are, write the similarity statement.


19.
20.
21.
22.


  1. 4 ABC∼4DEF Solve forxandy.
    24.QUAD∼KENT Find the perimeter ofQUAD.

  2. 4 CAT∼4DOGSolve forxandy.
    26.PENT A∼F IV ER Solve forx.

  3. 4 MNO∼4X NY Solve foraandb.

  4. TrapezoidsHAV E∼KNOTSolve forxandy.

  5. Two similar octagons have a scale factor of 119. If the perimeter of the smaller octagon is 99 meters, what is
    the perimeter of the larger octagon?

  6. Two right triangles are similar. The legs of one of the triangles are 5 and 12. The second right triangle has a
    hypotenuse of length 39. What is the scale factor between the two triangles?

  7. What is the area of the smaller triangle in problem 30? What is the area of the larger triangle in problem 30?
    What is the ratio of the areas? How does it compare to the ratio of the lengths (or scale factor)? Recall that
    the area of a triangle isA=^12 bh.

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