LESSON TWO

Topics covered during today's class-

~Theorem 4~

~Theorem 5~

Review of the teaching material used in class

• Powerpoint Presentation of the Theorems used in class. Click HERE. Then simply click on the relevant Theorems.
• The quiz which you completed in class is contained in the final section of the blog. It is saved in the link entitled 'Quiz 2'

Homework for tonight. Complete each sheet in your copy remembering the quality, careful layout emphasised in class.

• Homework sheet on Lesson 2. Click HERE

Revision Resources on Theorem 4
Theorem 4 states that

"In an Isosceles Triangle, the Equal Sides are, respectively, equal in measure"

About Theorem 4
Theorem 4 is the first Theorem whose proof involves Congruent Triangles. Please view the supplementary material on Congruent triangles before looking at the Theorem proof.

Congruent Triangles
It is vital you fully understand all about Congruent Triangles. They are extremely popular as a full question in The Junior Certificate Examination.

Please click here to view revision material on Congruent triangles. There are also worked questions for revision purposes.

Interactive Presentation on Congruent Triangles

To view the interactive presentation relevant to this Theorem, click here

Powerpoint Demonstration of Theorem 4

To view a second Powerpoint Presentation of Theorem 4, please click here. Please follow the template shown whenever asked to prove Theorem 4.

Lesson covering Theorem 4

To view Theorem 4 being taught, click the link below

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THEOREM 5

Theorem 5 states that

"The Opposite Sides and Opposite Angles of a Parallelogram are Equal in Measure"

About Theorem 5

Again, Theorem 5 involves proving that two triangles are congruent. It would certainly be no harm to revise Congruent Triangles. This you can do in the next section below.

Revision of Congruent Triangles

Another revision of Congruent Triangles is contained here.

Interactive presentation of Congruent Triangles

To view the interactive presentation relevant to this Theorem, click here

A second Powerpoint Presentation of Theorem 5

To view another Powerpoint Presentation of Theorem 5, please click here. Please follow this template whenever asked to prove Theorem 5.

A step by step analysis of Theorem 5

This section presents Theorem 5 in a step by step manner (simply click the red arrow inside). Please click here to access.

Associated Constructions

The Constructions alluded to in class are often asked in conjunction with this Theorem. To view them, click here