 | Military Academy, West Point - 1934 - 964 pages
...the expansion of ( rr'-rJ.'1 )' by the binomial theroem. and simplify * result. \rr ' 2. Prove that the angle formed by a tangent to a circle and a chord is measured by one-half Its int«rap£K aro. 3. The sum of the ages of a father and his son is 100... | |
 | United States Military Academy - 1942 - 1028 pages
...expansion of ( -я— =vs )' by the Binomial Thereom. and simplify the result. Ч» 2 / 2. Prove that the angle formed by a tangent to a circle and a chord is measured by one-half its intercepted arc. 3. The sum of the ages of a father and his son is 100... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...determine the measure of each arc drawn, and then apply the theorem stating that the measure of an angle formed by a tangent to a circle and a chord drawn from the point of contact is equal to one-half the measure of its intercepted arc. *DBC is formed in just such a way, and its measure is... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...intercepted by it. Thus, in Fig. 2.14. ZBAC - J arc BC. An angle inscribed in a semicircle is a right angle. The angle formed by a tangent to a circle and a chord having one extremity at the point of contact equals half the arc intercepted by the chord. In Fig.... | |
 | L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - Juvenile Nonfiction - 1992 - 394 pages
...A) => q' =9 But 'r is equal to any angle subtended by the chord TR, ie the angle between a tangent and a chord drawn from the point of contact is equal to any angle in the alternate segment. EXERCISE 11f In questions 1 to 4, copy the diagram and shade the... | |
 | L. Bostock - Mathematics - 1998 - 420 pages
...external point to a circle are the same length. The angle between a tangent and a chord drawn through the point of contact is equal to the angle in the alternate segment. This result is called the alternate segment theorem. EXERCISE 3.5 1 Find the marked angles. a 2 Find... | |
 | Paul Hogan, Barbara Job, Diane Morley - Juvenile Nonfiction - 2002 - 244 pages
...perpendicular to radius) So a = 90°- (90° -p) a=p b The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment. (Alternate Segment Theorem.) Exam questions 1 135° 2 (1) 9.6cm 3 8.25cm (2) 3 cm 3cm 3 cm / 6 Side,... | |
 | David Baker - General Certificate of Secondary Education - 2002 - 580 pages
...:¿¿s not cross the segment with ) _____________ The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment. This is the last result that you need to learn from this section! Now you need to be able to use all... | |
 | Lyn Baker - Juvenile Nonfiction - 2002 - 154 pages
...tangents to a circle from an external point are equal • the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment • the square of the length of a tangent from an external point is equal to the product of the intercepts... | |
 | David Baker - General Certificate of Secondary Education - 2002 - 750 pages
...circumference. The angle in a semi-circle is 90°. The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment Proofs of the circle theorems. Notes for the non-specialist: Pupils are told the simple results early... | |
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The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. 
