Top 10k strings from O'Level Maths Revision - Geometry (1983)(Rose Software)(16k).tzx in <root> / bin / z80 / software / Sinclair Spectrum Collection TOSEC.exe / Sinclair ZX Spectrum - Utilities & Educational / Sinclair ZX Spectrum - Utilities & Educational - [TZX] (TOSEC-v2007-01-01) /

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  10 "9";"Press any key":
   9 "0";"What is the";
   8 "8878"*(ind=
   6 sc        
   6 >::>>>>>>>>99>>99;;>>>>>>>>>
   6 >::88::88>>99;;9>;;99;;9>;;>
   6 >::88::88>>99;;99;;99;;99;;>
   6 ;" Program loading ";
   6 ;" PLEASE WAIT ";
   6 "0";"    STOP TAPE & press ENTER     ":
   5 o$="                                ":
   5  * WELL DONE * 
   4 j;". ";p$(i):
   4 ;"SOFTWARE
   4 "7";"YOUR ANSWER No. ";q$:
   4 "6";"MORE EXAMPLES? y OR n":
   4  PRESS KEY 
   4  EXERCISE 
   4  Correct answer is no. ";k:
   3 gr        
   3 A.Cowley Apr.1983
   3 "17";e-g;"
   3 "0";o$;o$;o$;
   3  TOTAL INCORRECT:
   3  REVISION QUESTIONS 
   2 s and 1 side (AAS)
   2 gr        (
   2 "0";"value of the";
   2 "0";"value of 
   2 "0";"triangles";
   2 "0";"parallelogram?"
   2 "0";"interior angles";
   2 "0";"These two";
   2 "0";"The radius of the";
   2 "0";"AC is a diameter";
   2  lines or lines of symmetry 
   2  are ALTERNATE 
   2  The diagonals are NOT mirror-  
   2  TOTAL INCORRECT: ";v:
   2   TOTAL CORRECT: 
   2                                 A
   2                                 
   1 since c and "+
   1 since a and "+
   1 s of a quadrilateral = 360
   1 s in cyclic quad.)  
   1 s OF CYCLIC QUAD=180
   1 s OF A TRIANGLE = 180
   1 q$="t");("false"
   1 p$="t");("false"
   1 o$="                                "
   1 k+"   =OPxOQ=OPx(OP+"+
   1 i+"=2x6  so PN="+
   1 gr        0
   1 g6        `
   1 g5        q
   1 g4        q
   1 g3        q
   1 g2        q
   1 g1        q
   1 four          two           eight         AF
   1 f$="(omit 'cm')":
   1 f$="(omit 
   1 a$="since d="+
   1 a$="since a/b = "+
   1 a$="since "+
   1 a$="RUBBISH"
   1 a$="       
   1 a and b are CORRESPONDING ANGLES
   1 TZXed by Andrew Barker
   1 TYPICAL 'O' LEVEL QUESTIONS
   1 THIS IS NOT PROOF OF CONGRUENCY
   1 SUM OF OPP.
   1 Rose Software
   1 QRS = ";90
   1 QOS from previous  question":
   1 PUT n=4 INTO (2n-4)X90
   1 PQS)   QS (from 
   1 Original Release
   1 O is the centre":
   1 MORE EXAMPLES? y OR n":
   1 Geometry  5 
   1 Geometry  4 
   1 Geometry  3 
   1 Geometry  1 
   1 Educational
   1 DAE=180-50-"+
   1 CRQ is isosceles ":
   1 CQR=";(180
   1 CORRESPONDING 
   1 CORRECT ANSWER";:
   1 CEF=90-40=
   1 CAB=180-"+
   1 BCD (alt.seg.th.)
   1 ABC through 120
   1 ABC is isosceles":
   1 ABC IS ISOSCELES & 
   1 A.Cowley Mar.1983
   1 =OPxOQ  SO "+
   1 ;" x ";j^2
   1 ;" SEGMENT THEOREM 
   1 6         
   1 5         Y
   1 4         1
   1 3         *
   1 2         
   1 1         
   1 /i)+"  and OT
   1 +j;" such","rotations, A",,"returns to its",,"original position"
   1 *j*i;"cm":
   1 *j);" sq.cm"
   1 *i;"cm->";
   1 *i)+"=QR/PQ giving PR="+
   1 )="yXz=360
   1 )="y+z=180":
   1 )="y+z=180
   1 )="vertically opposite angles":
   1 )="trapezium":
   1 )="supplementary (a+b)=180
   1 )="rhombus":
   1 )="rectangle":
   1 )="parallelogram":
   1 )="hX(a+b)/2":
   1 )="eight":
   1 )="corresponding angles"
   1 )="complementary (a+b)=90
   1 )="c=a+b":
   1 )="b=c+a":
   1 )="alternate angles":
   1 )="a=b+c":
   1 )="OT=OS":
   1 )="OT=2 x radius":
   1 )="OT+OS=2x
   1 )="OP=half radius":
   1 )="OP = AP":
   1 )="90+y=z":
   1 )="360/y":
   1 )="360/(180-y)":
   1 )="(aXh)-b/2":
   1 )="(aXb)/h":
   1 )+"x("+p$(2
   1 )+"+2r)   
   1 (omit 'cm')P
   1 #'O' Level Maths Revision - Geometry
   1 "9";"Press any key"
   1 "8";"similar triangles.":
   1 "8";"(tangents CR=CQ)":
   1 "7";"YOUR ANSWER: ";("true"
   1 "7";"CORRECT ANS: ";("true"
   1 "6";"subtended by arc QB)":
   1 "5";"Compare the sides of the";
   1 "4";"similar (equal angles)":
   1 "4";"FOR AN";
   1 "4";"(from previous question)";
   1 "4";"(angles in same segment";
   1 "3";"Triangles PQS and QSR are";
   1 "3";"QS = ";k;" x ";j;" = ";k*j;"cm":
   1 "28";"<-";i;
   1 "27";"-->"
   1 "26";i;"cm";
   1 "23";i;"cm";
   1 "23";"ext 
   1 "23";"<-a->";
   1 "2";"(alternate segment theorem)":
   1 "2";" So ":
   1 "2";" END ":
   1 "19";"<-b-> <-a->"
   1 "19";"<--";
   1 "18";"<---- b ---->";
   1 "17";i;"cm";
   1 "17";i;" cm";
   1 "17";"SR";
   1 "17";"<-";2
   1 "15";"= --";
   1 "14";"ROSE";
   1 "12";"SOFTWARE"
   1 "12";"SOFTWARE
   1 "12";"QS   ";j^2
   1 "12";"-- = --";
   1 "1";"c'?":
   1 "1";"b'?":
   1 "1";"Your answer:  ";a$:
   1 "1";"INTERSECTING":
   1 "1";"INTERNAL POINT";
   1 "0";o$;o$;
   1 "0";"z=?":
   1 "0";"y is the angle";
   1 "0";"y and z?":
   1 "0";"y and z are";
   1 "0";"value of ";
   1 "0";"true that:-"
   1 "0";"true for";
   1 "0";"topmost angle";
   1 "0";"to SR";
   1 "0";"this special";
   1 "0";"then it is";
   1 "0";"the sum is (2X6-4)X90
   1 "0";"the radius of";
   1 "0";"the area of";
   1 "0";"tangent.";
   1 "0";"tangent to";
   1 "0";"tangent is ALWAYS ?"
   1 "0";"symmetry for a";
   1 "0";"sum of the";
   1 "0";"states c
   1 "0";"smaller circle";
   1 "0";"similar";
   1 "0";"quadrilateral?":
   1 "0";"polygon is";
   1 "0";"polygon has";
   1 "0";"or line of symmetry";
   1 "0";"opposite 
   1 "0";"of the";
   1 "0";"of the circle";
   1 "0";"of symmetry does";
   1 "0";"of rotational";
   1 "0";"of an n-sided";
   1 "0";"of a regular hexagon?"
   1 "0";"of a quadrilateral?"
   1 "0";"of PR is ";4
   1 "0";"of PQ is ";
   1 "0";"of ANY polygon = 360
   1 "0";"name of";
   1 "0";"name of this";
   1 "0";"m is a mirror line";
   1 "0";"lines of symmetry":
   1 "0";"larger circle";
   1 "0";"is true?";
   1 "0";"is bisected.";
   1 "0";"inscribed";
   1 "0";"in one interior 
   1 "0";"in a rt 
   1 "0";"formula for";
   1 "0";"for this equilateral 
   1 "0";"following";
   1 "0";"exterior 
   1 "0";"diameter";
   1 "0";"cyclic quadrilateral";
   1 "0";"circle RPQ";
   1 "0";"circle QRS";
   1 "0";"centre P = ";i/2
   1 "0";"centre O = ";i;"cm."
   1 "0";"b   ";i+j
   1 "0";"at the centre";
   1 "0";"are tangents.";
   1 "0";"are similar";
   1 "0";"are congruent":
   1 "0";"angles marked";
   1 "0";"angle marked";
   1 "0";"angle marked '?'"
   1 "0";"and we know 
   1 "0";"and OP=";5
   1 "0";"and APQ are";
   1 "0";"about angles";
   1 "0";"a,b and c?"
   1 "0";"a trapezium?"
   1 "0";"a rectangle have?"
   1 "0";"a circle and a";
   1 "0";"a and b are:-":
   1 "0";"a = ";i+1
   1 "0";"Which of the";
   1 "0";"What is the order";
   1 "0";"What is always";
   1 "0";"What can we say";
   1 "0";"What are the equal";
   1 "0";"Triangles ABC";
   1 "0";"The sum of the";
   1 "0";"The sum of the internal 
   1 "0";"The angle z between a chord AB",,,"and a tangent is equal to the",,,"angle z in the alternate segment":
   1 "0";"The angle between";
   1 "0";"The SUM of the exterior angles";
   1 "0";"TC is a tangent";
   1 "0";"ST is a";
   1 "0";"SR=";j^2
   1 "0";"SO the length";
   1 "0";"PQ=";k^2
   1 "0";"PQ is parallel";
   1 "0";"PQ (from 
   1 "0";"OT and OS";
   1 "0";"OP = ?"
   1 "0";"O is the centre.";
   1 "0";"NQ=";i;"cm":
   1 "0";"NOTE that RQ is parallel to AB  since 
   1 "0";"If the area of";
   1 "0";"If AP=PB";
   1 "0";"If  OT=";4
   1 "0";"How many lines";
   1 "0";"How many degrees";
   1 "0";"Don't forget there may be more    than one HELP per question":
   1 "0";"C is the centre";
   1 "0";"By rotating equilateral","
   1 "0";"Angle between tangent and radius":
   1 "0";"AQT is a";
   1 "0";"AOB is a";
   1 "0";"AB=";i+2
   1 "0";"AB is a diameter";
   1 "0";"A regular n-sided";
   1 "0";"=(12-4)X90
   1 "0";"(2n-4)X90
   1 "0";"'a' called?":
   1 "0";" QUESTIONS 
   1 ","about P, we get the","same picture"
   1 " your answer",f$:
   1 " CHORD THEOREM":
   1 " (alternate angles)";
   1  y or n ":
   1  this irregular hexagon";
   1  the length";
   1  the area of";
   1  perpendicular bisector of AB 
   1  of cyclic quad.   SO 
   1  of AB and AC 
   1  making ";3
   1  it has ";3
   1  in semi-circle) 
   1  has 3 such lines 
   1  cyclic  quad. 
   1  between radius & tgt)and 
   1  atcentre=twice 
   1  at circumference)
   1  at circumference";
   1  at centre & 
   1  are SUPPLEMENTARY 
   1  TOTAL INCORRECT: ";v
   1  TOTAL CORRECT:  
   1  THEN opp.
   1  So  SQ = ? 
   1  SYMMETRY 
   1  SUM OF EXT.
   1  SUM OF ANGLES OF 
   1  SO CS=r="+p$(1
   1  SINCE OP = OT - PT = "+
   1  SINCE IT IS  ONE-THIRD OF 360
   1  SIMILAR TRIANGLES 
   1  Remember P and Q are midpoints 
   1  ROTATIONAL SYMMETRY 
   1  REVISION QUESTION 
   1  REVISION  ";
   1  REMEMBER THIS:- 
   1  PYTHAGORAS THEOREM 
   1  PN x NQ = RN x NS 
   1  Order of rotational symmetry=3 
   1  OR NEED help? ENTER h 
   1  OP is called the 
   1  OP X OQ = OR X OS = OT
   1  OF A CYCLIC QUAD. = THE INTERIOR OPPOSITE ANGLE  
   1  Like to see why? ";:
   1  Hi there 
   1  HI THERE 
   1  Geometry 2 
   1  Geometry  6 
   1  FOUR TIMES THE AREA 
   1  Equilateral 
   1  EXTERIOR 
   1  DOUBLING THE DIMENSIONS GIVES  
   1  DIVIDE THE SUM (2n-4)X90
   1  CORRESPONDING ANGLE with "+
   1  CONGRUENT
   1  CONGRUENCY OF TRIANGLES 
   1  BY ROTATING 180
   1  Always:- 
   1  APQ is ";i;" sq.cm";
   1  AN EXTERIOR 
   1  ALTERNATE ANGLE with "+
   1  ABOUT P TWICE 
   1  ABC is ";i*(4
   1  = sum of INT. opp. 
   1  4 SIDES EQUAL & DIAGS.AT RT.
   1  3,4,5 and 5,12,13 are rt 
   1  2 OPPOSITE SIDES ARE PARALLEL  
   1  (vert.opp.
   1  (must be the included angle)":
   1  (angle in semi-circle) SO 
   1  (alt.seg.th.) SO  
   1  (See OSBQ)":
   1   TOTAL CORRECT:  ";u;
   1   TOTAL CORRECT:  ";u
   1   TOTAL CORRECT : ";u;
   1   THE ALTERNATE  ";
   1   SO z=2X"+
   1   ALTERNATE ANGLES
   1   3 sides equal (SSS)
   1   2 sides & included 
   1     TANGENTS FROM AN EXTERNAL       POINT ARE EQUAL IN LENGTH   
   1              45
   1               180
   1                          A
   1                          40
   1                          30
   1                                 P
   1