https://padlet.com/rdownes/c1 7 Constructions to Study The instruments that may be used are: straight-edge: This may be used (together with a pencil) to draw a straight line passing through two marked points. compass: This instrument allows you to draw a circle with a given centre, passing through a given point. It also allows you to take a given segment [AB], and draw a circle centred at a given point C having radius IABI. ruler: This is a straight-edge marked with numbers. It allows you measure the length of segments, and to mark a point B on a given ray with vertex A, such that the length IABI is a given positive number. It can also be employed by sliding it along a set square, or by other methods of sliding, while keeping one or two points on one or two curves. protractor: This allows you to measure angles, and mark points C such that the angle LBAC made with a given ray [AB has a given number of degrees. It can also be employed by sliding it along a line until some line on the protractor lies over a given point. set-squares: You may use these to draw right angles, and angles of 30°, 60°, and 45°. It can also be used by sliding it along a ruler until some coincidence occurs. en-us 2020-04-14 12:51:45 UTC 2022-11-20 12:05:56 UTC hello@padlet.com rdownes https://padlet.com/rdownes/c1/wish/506278790
The prescribed constructions are:
1. Bisector of a given angle, using only compass and straight edge.
2. Perpendicular bisector of a segment, using only compass and straight
edge.
3. Line perpendicular to a given line l, passing through a given point not
on l.
4. Line perpendicular to a given line l, passing through a given point on
l.
5. Line parallel to given line, through given point.
6. Division of a segment into 2, 3 equal segments, without measuring it.
7. Division of a segment into any number of equal segments, without
measuring it.
8. Line segment of given length on a given ray.
9. Angle of given number of degrees with a given ray as one arm.
10. Triangle, given lengths of three sides.
11. Triangle, given SAS data.
12. Triangle, given ASA data.
13. Right-angled triangle, given the length of the hypotenuse and one other
side.
14. Right-angled triangle, given one side and one of the acute angles (sev-
eral cases).
15. Rectangle, given side lengths.
16. Circumcentre and circumcircle of a given triangle, using only straight-
edge and compass.
17. Incentre and incircle of a given triangle, using only straight-edge and
compass.
18. Angle of 60�, without using a protractor or set square.
19. Tangent to a given circle at a given point on it.
20. Parallelogram, given the length of the sides and the measure of the
angles.
21. Centroid of a triangle.
22. Orthocentre of a triangle.]]> 2020-04-14 12:51:45 UTC https://padlet.com/rdownes/c1/wish/506278790 rdownes https://padlet.com/rdownes/c1/wish/506284003 2020-04-14 12:54:24 UTC https://padlet.com/rdownes/c1/wish/506284003 rdownes https://padlet.com/rdownes/c1/wish/506290957 2020-04-14 12:58:09 UTC https://padlet.com/rdownes/c1/wish/506290957 rdownes https://padlet.com/rdownes/c1/wish/506292213 2020-04-14 12:58:50 UTC https://padlet.com/rdownes/c1/wish/506292213 rdownes https://padlet.com/rdownes/c1/wish/511651068 2020-04-16 21:06:02 UTC https://padlet.com/rdownes/c1/wish/511651068 rdownes https://padlet.com/rdownes/c1/wish/514777299 2020-04-18 22:32:24 UTC https://padlet.com/rdownes/c1/wish/514777299 rdownes https://padlet.com/rdownes/c1/wish/514783537 2020-04-18 22:46:00 UTC https://padlet.com/rdownes/c1/wish/514783537 rdownes https://padlet.com/rdownes/c1/wish/514784322 2020-04-18 22:47:26 UTC https://padlet.com/rdownes/c1/wish/514784322 rdownes https://padlet.com/rdownes/c1/wish/520882275 Constructions
https://padlet.com/rdownes/c
https://padlet.com/rdownes/c1
https://padlet.com/rdownes/c2
https://padlet.com/rdownes/c3
https://padlet.com/rdownes/c4
https://padlet.com/rdownes/c5
https://padlet.com/rdownes/c6
https://padlet.com/rdownes/c7
https://padlet.com/rdownes/c8
https://padlet.com/rdownes/c9
https://padlet.com/rdownes/c10
https://padlet.com/rdownes/c11
https://padlet.com/rdownes/c12
https://padlet.com/rdownes/c13
https://padlet.com/rdownes/c14
https://padlet.com/rdownes/c15
https://padlet.com/rdownes/c16
https://padlet.com/rdownes/c17
https://padlet.com/rdownes/c18
https://padlet.com/rdownes/c19
https://padlet.com/rdownes/c20
https://padlet.com/rdownes/c21
https://padlet.com/rdownes/axiom
https://padlet.com/rdownes/theorem
https://padlet.com/rdownes/corollary
https://padlet.com/rdownes/converse
https://padlet.com/rdownes/construction
https://padlet.com/rdownes/induction
https://padlet.com/rdownes/t1
https://padlet.com/rdownes/t2
https://padlet.com/rdownes/t3
https://padlet.com/rdownes/t4
https://padlet.com/rdownes/t5
https://padlet.com/rdownes/t6
https://padlet.com/rdownes/t7
https://padlet.com/rdownes/t8
https://padlet.com/rdownes/t9
https://padlet.com/rdownes/t10
https://padlet.com/rdownes/t11
https://padlet.com/rdownes/t12
https://padlet.com/rdownes/t13
https://padlet.com/rdownes/t14
https://padlet.com/rdownes/t15
https://padlet.com/rdownes/t16
https://padlet.com/rdownes/t17
https://padlet.com/rdownes/t18
https://padlet.com/rdownes/t19
https://padlet.com/rdownes/t20
https://padlet.com/rdownes/t21
https://padlet.com/rdownes/t22
Axioms
https://padlet.com/rdownes/axiom
https://padlet.com/rdownes/a1
https://padlet.com/rdownes/a2
https://padlet.com/rdownes/a3
https://padlet.com/rdownes/a4
https://padlet.com/rdownes/a5
Corollary
https://padlet.com/rdownes/corollary
https://padlet.com/rdownes/cr1
https://padlet.com/rdownes/cr2
https://padlet.com/rdownes/cr3
https://padlet.com/rdownes/cr4
https://padlet.com/rdownes/cr5
https://padlet.com/rdownes/cr6
Constructions
https://padlet.com/rdownes/construction
https://padlet.com/rdownes/c1
https://padlet.com/rdownes/c2
https://padlet.com/rdownes/c3
https://padlet.com/rdownes/c4
https://padlet.com/rdownes/c5
https://padlet.com/rdownes/c6
https://padlet.com/rdownes/c7
https://padlet.com/rdownes/c8
https://padlet.com/rdownes/c9
https://padlet.com/rdownes/c10
https://padlet.com/rdownes/c11
https://padlet.com/rdownes/c12
https://padlet.com/rdownes/c13
https://padlet.com/rdownes/c14
https://padlet.com/rdownes/c15
https://padlet.com/rdownes/c16
https://padlet.com/rdownes/c17
https://padlet.com/rdownes/c18
https://padlet.com/rdownes/c19
https://padlet.com/rdownes/c20
https://padlet.com/rdownes/c21
https://padlet.com/rdownes/c22
Senior Cycle
1. Statistics and Probability
https://padlet.com/rdownes/lcm10
https://padlet.com/rdownes/lcm11
https://padlet.com/rdownes/lcm12
https://padlet.com/rdownes/lcm13
https://padlet.com/rdownes/lcm14
https://padlet.com/rdownes/lcm15
https://padlet.com/rdownes/lcm16
https://padlet.com/rdownes/lcm16h
https://padlet.com/rdownes/lcm17
2. Geometry and Trigonometry
https://padlet.com/rdownes/lcm20
https://padlet.com/rdownes/lcm21
https://padlet.com/rdownes/lcm22
https://padlet.com/rdownes/lcm23
https://padlet.com/rdownes/lcm24
3. Number
https://padlet.com/rdownes/lcm30
https://padlet.com/rdownes/lcm31
https://padlet.com/rdownes/lcm32
https://padlet.com/rdownes/lcm33
https://padlet.com/rdownes/lcm34
4. Algebra
https://padlet.com/rdownes/lcm40
https://padlet.com/rdownes/lcm41
https://padlet.com/rdownes/lcm42
https://padlet.com/rdownes/lcm43
https://padlet.com/rdownes/lcm44
5. Functions
https://padlet.com/rdownes/lcm50
https://padlet.com/rdownes/lcm51
https://padlet.com/rdownes/lcm52
JuniorCycle
Unifying Strand
https://padlet.com/rdownes/u
https://padlet.com/rdownes/u1
https://padlet.com/rdownes/u2
https://padlet.com/rdownes/u3
https://padlet.com/rdownes/u4
https://padlet.com/rdownes/u5
https://padlet.com/rdownes/u6
https://padlet.com/rdownes/u7
https://padlet.com/rdownes/u8
https://padlet.com/rdownes/u9
https://padlet.com/rdownes/u10
https://padlet.com/rdownes/u11
https://padlet.com/rdownes/u12
https://padlet.com/rdownes/u13
Number Strand
https://padlet.com/rdownes/n
https://padlet.com/rdownes/n1
https://padlet.com/rdownes/n2
https://padlet.com/rdownes/n3
https://padlet.com/rdownes/n4
https://padlet.com/rdownes/n5
2. Geometry and Trigonometry
https://padlet.com/rdownes/gt
https://padlet.com/rdownes/gt1
https://padlet.com/rdownes/gt2
https://padlet.com/rdownes/gt3
https://padlet.com/rdownes/gt4
https://padlet.com/rdownes/gt5
https://padlet.com/rdownes/gt6
Algebra and Functions Strand
https://padlet.com/rdownes/af
https://padlet.com/rdownes/af1
https://padlet.com/rdownes/af2
https://padlet.com/rdownes/af3
https://padlet.com/rdownes/af4
https://padlet.com/rdownes/af5
https://padlet.com/rdownes/af6
https://padlet.com/rdownes/af7
Statistics and Probability Strand
https://padlet.com/rdownes/sp
https://padlet.com/rdownes/sp1
https://padlet.com/rdownes/sp2
https://padlet.com/rdownes/sp3]]> 2020-04-21 17:03:25 UTC https://padlet.com/rdownes/c1/wish/520882275 rdownes https://padlet.com/rdownes/c1/wish/657725833 2020-07-19 11:40:17 UTC https://padlet.com/rdownes/c1/wish/657725833 rdownes https://padlet.com/rdownes/c1/wish/658393521 2020-07-20 13:48:58 UTC https://padlet.com/rdownes/c1/wish/658393521