Determine the value of x when given two tangent lines to a circle

The video tutorial explains the concept of congruent lines and tangent lines in geometry. It discusses how two tangent lines from a point outside a circle are congruent and equal in measurement. The tutorial also covers solving for X using an equation derived from the properties of tangent lines. The instructor answers questions and clarifies misconceptions about congruency and tangent lines.

What is the relationship between two tangent lines from a common external point to a circle?

• They are congruent.

• They are perpendicular.

• They are parallel.

• They are intersecting.

Which of the following is true about line B to D in relation to the circle?

• It is perpendicular to the tangent lines.

• It is congruent to the tangent lines.

• It is a tangent line.

• It is not congruent to the tangent lines.

What must be true for two lines to be congruent in the context of this lesson?

• They must be equal in length.

• They must intersect at the center of the circle.

• They must be tangent lines from a common external point.

• They must be parallel.

How do you solve for X when given the equation 2X + 9 = 3X + 6?

• Multiply both sides by 2.

• Divide both sides by 3.

• Subtract 2X from both sides.

• Add 3 to both sides.

What is the value of X in the equation 2X + 9 = 3X + 6?

• X = 0

• X = 9

• X = 3

• X = 6