Understanding Tangents and Their Properties

What is a tangent in relation to a circle?

• A line that intersects a circle at two points

• A line that is parallel to the radius

• A line that intersects a circle at exactly one point

• A line that is inside the circle

What is true about segments that are tangent to a circle and intersect at a common exterior point?

• They are equal to the diameter

• They are perpendicular

• They are congruent

• They are always parallel

What is the relationship between the segments formed by two tangents intersecting outside a circle?

• They are perpendicular

• They are parallel

• They are congruent

• They are equal to the radius

In a right triangle formed by a tangent and a radius, what is the hypotenuse?

• The diameter

• The tangent

• The radius

• The line segment from the circle's center to the tangent point

In a right triangle with legs 3 and 4, what is the length of the hypotenuse?

• 7

• 8

• 6

• 5

If a tangent is 24 units and the exterior segment is 18 units, what is the length of the radius?

• 7 units

• 8 units

• 6 units

• 9 units

What is the sum of the squares of the legs in a right triangle with legs 5 and x?

• x^2 + 25

• x^2 + 24

• x^2 + 20

• x^2 + 30

How do you find the perimeter of a triangle formed by tangents intersecting outside a circle?

• Multiply the lengths of the tangents

• Add the lengths of the tangents

• Divide the lengths of the tangents

• Subtract the lengths of the tangents

If a rhombus is formed by tangents, what can be said about its sides?

• They are all perpendicular

• They are all equal

• They are all parallel

• They are all different

What is the perimeter of a rhombus with sides of length 4?

• 24

• 20

• 12

• 16