 My Math Forum super hard 16 year old CIRCLE THEOREMS questions please help

 Algebra Pre-Algebra and Basic Algebra Math Forum

February 10th, 2010, 10:58 PM   #1
Member

Joined: Nov 2009

Posts: 49
Thanks: 0

hey guys me again,

Doing circle theorems which is to me, super hard

please show me step by step what you did and how you did it
Attached Images maths.jpg (61.0 KB, 1131 views) February 11th, 2010, 04:18 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,746 Thanks: 2133 1. Let T be a point "below" P on the given tangent. � � Angle SQP = angle TPS by the alternate segment theorem � � � � � � � � � � = angle PSQ since TP is parallel to SQ, � � so SP = PQ (chords subtending equal angles), � � and so angle PRS = angle PRQ (angles subtended by equal chords), � � i.e., PR bisects ?QRS. 2a. ?CTD + ?CAD = ?CTD + ?TAC + ?TAD � � � � � � � � � � � � � � �= ?CTD + ?TCD + ?TDC by the alternate segment theorem � � � � � � � � � � � � � � �= 180� (angles of a triangle), � � � so TCAD is a cyclic quadrilateral (opposite angles supplementary). 2b. ?TAC = ?TCD by the alternate segment theorem � � � � � � � � = ?TAD (both angles subtended by TD, with TCAD cyclic). 2c.� � � � � � = ?TDC by the alternate segment theorem, � � � so triangle TCD is isosceles, with TC = TD (equal sides opposite equal angles). February 11th, 2010, 10:46 AM   #3
Math Team

Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 408

Hello, peterle1!

Quote:
Code:
            *           *
*               *
*                 o R
/
*                /  *
*               /   *
S o - - - - - - -o- - o Q
/ X
*           /     *
*         /     *
*      /    *
T - - - - * o * - - - - U
P

Draw chords PQ, QR, RS, and SP.

Quote:

[color=beige]. . [/color]
Parallel lines intercept equal arcs.

Quote: Tags circle, hard, questions, super, theorems, year ,
,

,

,

,

,

,

,

,

,

,

,

,

,

areas related to circles difficult questions

Click on a term to search for related topics.
 Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Eminem_Recovery Algebra 8 April 29th, 2011 02:28 AM Eminem_Recovery Elementary Math 22 November 12th, 2010 06:16 AM sharp Elementary Math 9 September 25th, 2010 10:31 PM thegle Calculus 7 April 25th, 2010 03:30 PM thegle Calculus 6 February 18th, 2010 03:51 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      