NylaJohnshon
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In the figure, PA is tangent to the dime, PC is tangent to the quarter, and PB is a common
internal tangent. How do you know that PA PB PC?
O The segments are congruent by the Tangent Line to Circle Theorem.
o Because all of the radii are congruent, the tangent line segments are congruent too.
Because PÅ is the angle bisector of ZAPC, APAB and APBC are congruent isosceles triangles.
O The segments are congruent by the External Tangent Congruency Theorem.

In the figure PA is tangent to the dime PC is tangent to the quarter and PB is a common internal tangent How do you know that PA PB PC O The segments are congru class=

Respuesta :

The three tangent segments to the two circles that are in contact, are congruent, according to tangent theorem. The correct option is therefore;

  • The segments are congruent by the tangent line to a circle theorem

How can the relationship between the segments be found?

According to the two tangents theorem, two tangents segments to the same circle that meet at a common external point are congruent segments.

Therefore;

The tangents to the dime, PA and PB are congruent.

Similarly, PB is congruent to PC

By the property of equality, we have;

PA = PB = PC

The correct option is therefore;

  • The segments are congruent by the tangent line to a circle theorem.

Learn more about circle theorems here;

https://brainly.com/question/11256912

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