Question

which property can be used to ensure that two tangent segments drawn from the same external point are equal?
a. pythagorean theorem
b. inscribed angle theorem
c. congruence theorem
d. alternate segment theorem

what does it mean if two lines are perpendicular?
a. they are congruent
b. they intersect at a 90 degree angle
c. they never intersect
d. they intersect at a 45 degree angle

the line segment connecting the center of the circle to the point of tangency is called the:
a. secant
b. diameter
c. radius
d. chord

Explanation:

• For the first question, the congruence theorem for tangent - segments states that two tangent segments drawn from the same external point to a circle are equal. The Pythagorean theorem is about right - angled triangles, the inscribed angle theorem is about angles inscribed in a circle, and the alternate segment theorem is about angles between a tangent and a chord.
• For the second question, by definition, perpendicular lines intersect at a 90 - degree angle. Lines being congruent is not related to perpendicularity, non - intersecting lines are parallel, and lines intersecting at 45 degrees are not perpendicular.
• For the third question, the line segment connecting the center of a circle to the point of tangency is the radius. A secant is a line that intersects a circle at two points, a diameter is a chord passing through the center, and a chord is a line segment whose endpoints lie on the circle.

Answer:

1. c. Congruence Theorem
2. b. They intersect at a 90 degree angle
3. c. Radius