Assignment for June 2013 - Theorems and Constructions

Part A
Learn how to do the 22 constructions on the Leaving Certificate Higher Level Syllabus.
You will require a mathematical set with a compass, ruler, protractor and set square to practice these for yourselves.

Part B
Learn the 3 theorems (11, 12 & 13) on the course 

When you have completed Assignment 1 please submit the form at the bottom of this page.

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Part A - Constructions
See: Text & Tests 4 Chapter 6

Constructions: Task 1

Watch the 13 minute video showing the all the Project Maths Constructions - (click here) - you could use the book if you prefer.
Then try each of the constructions for yourself.

Constructions: Task 2

Do the student activities linked below. You can either print the pages or copy the questions into your own A4 paper - staple pages - and have these activities ready to hand up in September.

Student Activity 16
Student Activity 17 (note let point E be the incentre)
Student Activity 18
Student Activity 19
Student Activity 20
Student Activity 21
Student Activity 22

Constructions: Task 3

Try these 2 quizzes.
Quiz 1 
Quiz 2 

Part B - Theorems
See: Text & Tests 4 Section 3.3

Proofs: Task

To learn the 3 theorems on the Leaving Cert. Higher Level Course
Then practice writing out the 3 theorems without looking!
Keep a copy of your handwritten theorems on A4 pages (stapled) to be handed up in September

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Theorem Resources (other than the book)

PowerPoint presentations of the proofs

Theorem 11: If three parallel lines cut off equal segments on some transversal line, then they will cut off equal segments on any other transversal.
Theorem 11 (HL) or Theorem 11 (HL) - Alternative Proof 

Theorem 12: Let ABC be a triangle. If a line l is parallel to BC and cuts [AB] in the ratio s : t, then it also cuts [AC] in the same ratio.
Theorem 12 (HL) 

Theorem 13: If two triangles ABC and  are similar, then their sides are proportional, in order.
Theorem 13 (HL) 

Videos of the proofs

Theorem 11

Theorem 12

Theorem 13

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