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The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. An alternative proof of this construction is shown below. Complete the proof

The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem An alterna class=
The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem An alterna class=

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Answer:

Statements:

5. Angle CAD is congruent to angle DCA;

Angle DAE is congruent to angle AED

11. Angle ADC and Angle EDA are supplementary

18. Angle CAE is 90 degrees

20. AE is perpendicular to AC

Reasons:

3. Definition of isosceles triangle

4. Sum of interior angles of a triangle is 180 degrees.

9. Subtraction

16. Definition of complementary angles

21. Converse of Radius-Tangent Theorem

Step-by-step explanation:

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The Reasons for the statement are as follows:

3. Definition of isosceles triangle

4. Sum of interior angles of a triangle is 180 degrees.

9. Subtraction

16. Definition of complementary angles

21. Converse of Radius-Tangent Theorem

An alternative proof of the construction of a tangent to a circle given a point outside the circle is shown.

We have Statements as below:

5. Angle CAD is congruent to angle DCA;

Angle DAE is congruent to angle AED

11. Angle ADC and Angle EDA are supplementary

18. Angle CAE is 90 degrees

20. AE is perpendicular to AC

The Reasons for the statement are as follows:

3. Definition of isosceles triangle

4. Sum of interior angles of a triangle is 180 degrees.

9. Subtraction

16. Definition of complementary angles

21. Converse of Radius-Tangent Theorem

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