Question

If R, RD ( line over RD)is a radius and DF (line over DF) is a tangent segment. Which statement must ve true? a) RD=DF b)RD=RF c)Triangle RDF is a right triangle d) Triangle RDF is an obsltuse triangle

Answer 1

c)Triangle RDF is a right triangle.

Explanation:

Let us assume that we have a circle with center R, which has a radius(a line joining the center of a circle to a point on its circumference) RD. Drawing a tangent (a straight line that touches a circle at a point) externally to RD forms an angle of
`90^(0)` with RD. Also, the tangent is perpendicular to RD if extended.

Therefore if we join R to F, we have a triangle RDF. The suitable option is that triangle RDF is a right triangle.

Answer 2

If DF is a tangent segment and it is tangent to the radius, then we have got a right triangle. And this right triangle is a triangle RDF. So that, the correct answer is C) RDF is a right triangle.