CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 4. Triangles and Congruence


all 321 of the overall square and the “B” triangles are each 1281 of the large square. Both the “A” and “B” triangles are
right triangles.


Review Questions



  1. If 4 RAT∼= 4 U GH, what is also congruent?

  2. If 4 BIG∼= 4 T OP, what is also congruent?


For questions 3-7, use the picture to the right.



  1. What theorem tells us that^6 F GH∼=^6 F GI?

  2. What ism^6 F GIandm^6 F GH? How do you know?

  3. What property tells us that the third side of each triangle is congruent?

  4. How doesF Grelate to^6 IF H?

  5. Write the congruence statement for these two triangles.


For questions 8-12, use the picture to the right.



  1. IfAB||DE, what angles are congruent? How do you know?

  2. Why is^6 ACB∼=^6 ECD? It is not the same reason as #8.

  3. Are the two triangles congruent with the information you currently have? Why or why not?

  4. If you are told thatCis the midpoint ofAEandBD, what segments are congruent?

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