...two sides of a triangle proportionally is parallel to the third side. 7. Prove that a tangent to a circle is perpendicular to the radius drawn to the point of contact. 8. Prove that parallel chords intercept upon the circumference equal arcs. ANCIENT HISTORY AND GEOGRAPHY....

...equal to a straight angle, (3) the base angles of an isosceles triangle are equal, (4) a tangent to a circle is perpendicular to the radius drawn to the point of contact, establish the following chain of theorems: (a) An exterior angle of a triangle is equal to the sum...

...equal to a straight angle, (3) The base angles of an isosceles triangle are equal, (4) A tangent to a circle is perpendicular to the radius drawn to the point of contact, establish the following chain of theorems: (a) An exterior angle of a triangle is equal to the sum...

...is all done, one feels that Schoenberg reached some such conclusion as 'a straight line tangent to a circle is perpendicular to the radius drawn to the point of contact." Schoenberg's music is huge labor to demonstrate a simple enough theorem, namely, that if you employ...

...at the centre is twice the angle at the circumference subtended by the same arc • the tangent to a circle is perpendicular to the radius drawn to the point of contact '$• TIP! The converse is the opposite. The converse is not necessarily true for any given statement....

...touches a circle at exactly one point. This point is called the point of contact. The tangent to a circle is perpendicular to the radius drawn to the point of contact. The line from the centre of a circle to the midpoint of a chord is perpendicular to the chord. There...

...5. A circumference can always be passed through the angular points of a rectangle. 6. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 7. If A: B=P: Q, prove B: A=Q: P. 8. All angles inscribed in the same segment of a circle are equal....