Question

1. what does the alternate segment theorem state regarding tangents and circles?

a. the angle between the tangent and chord is equal to the angle in the alternate segment
b. the tangent is parallel to the chord
c. the tangent and chord are equal in length
d. the alternate segment intersects the circle

1. which theorem states that any angle inscribed in a semi - circle is a right angle?

a. perpendicular bisector theorem
b. inscribed angle theorem
c. tangent - radius theorem
d. thales theorem

1. which point is equidistant from all vertices of a triangle?

a. centroid
b. incenter
c. tangent
d. circumcenter

Explanation:

1. The Alternate Segment Theorem states that the angle between a tangent and a chord is equal to the angle in the alternate segment.
2. Thales' Theorem states that any angle inscribed in a semi - circle is a right angle.
3. The circumcenter of a triangle is the point that is equidistant from all the vertices of the triangle.

Answer:

1. a. The angle between the tangent and chord is equal to the angle in the alternate segment
2. d. Thales' Theorem
3. d. Circumcenter