| General Certificate of Secondary Education - 2003 - 588 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-specialistPupils are told the simple results early... | |
| S. K. Patel - Excel HSC. - 2005 - 302 pages
...w = 180°, then A, ß, С and D are concyclic. F.15 The angle between a tangent and a chord through **the point of contact is equal to the angle in the alternate segment** (Figure 12). APT is a tangent, ¿CPT = ZPBC and ZßPA = ¿BCP. F. 16 Two tangents to a circle from... | |
| Ajit Kalra, James Stamell - Mathematics - 2005 - 574 pages
...called the angle in the alternate segment. Property 4 The angle between a tangent and a chord drawn to **the point of contact is equal to the angle in the alternate segment.** Given: PTis a tangent to a circle with centre O. fiP is a chord and it subtends ¿BCPat the circumference.... | |
| Mathematics - 1965 - 40 pages
...alternate to L ABD and segment Fto LABC. TANGENT PROPEBTIES OF THE OIRCLE Theorem 21. Either angle between **a tangent to a circle and a chord drawn from the point of contact is equal to** any angle in the alternate segment. X PA Q Given. PAQ touches a circle, of which AB is a chord, at... | |
| ...7,9,11 cm. long Fig. 151 206 180. Proposition 15. The angle made by a tangent to a circle with the **chord drawn from the point of contact is equal to the angle in the alternate segment** of the circle. Let AB be a tangent to the circle (in Fig. 152) at D. Let DE be a chord. Draw a diameter... | |
| ...that str. line ; .: they touch each other (Props. 11 and 12). 21 3, 7. Prove that the angle between **a tangent to a circle and a chord drawn from the point of contact is** half of the angle subtended at the centre by the chord. Let DE touch given QABC, whose centre is O,... | |
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