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

2 Answers

2 votes

Answer:B and E

Explanation:

User StuS
by
3.9k points
1 vote

Answer:

E-F and E-D

C-B and C-D

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.

The circle is inscribed in Triangle AEC. Which are congruent line segments-example-1
User Szymon Kuzniak
by
3.6k points