Danielle1215
Danielle1215 Danielle1215
  • 01-04-2020
  • Mathematics
contestada

The circle is inscribed in Triangle AEC. Which are congruent line segments

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MathPhys
MathPhys MathPhys
  • 12-04-2020

Answer:

E-F and E-D

C-B and C-D

Step-by-step explanation:

The circle and triangle are as shown.  The options are:

  • A-B and C-B
  • E-F and E-D
  • E-D and C-D
  • A-F and E-F
  • C-B and C-D

By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites.  Therefore, only segments that are legs of the same kite are congruent.  So the answer must be E-F and E-D, and C-B and C-D.

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