Geometry Answers

find the equation of the line, given the following information
Passes through (1,4) and is parallel to y=5x + 2

De Villiers (2003:5 - 10) classifies five different functions of proof within mathematical
statements. With the aid of examples, discuss the implications of the five functions of
proof to teaching and learning geometry.

7.1 When we start teaching a concept to learners, we do not even need to mention the “big
name” for it. You will be surprised to see in the CAPS that we are actually teaching the
idea of polyhedrons in Grade 5 already. Visit CAPS and then draw up a lesson plan
introducing the idea or concept ‘Polyhedrons’ to a Grade 5 class, using those
polyhedrons which are prescribed for them.
7.1.1 Clearly describe what you are expected to do in the ‘before’, ‘during’ and ‘after’ stages of
the lesson taught using problem solving approach.
7.1.2 List 5 questions that you will pose to learners to trigger constructive discussions
Describe the manipulatives you will use for the lesson.
7.1.4 Design a worksheet and a memorandum.

In measurement, what do you understand by the terms standard and none standard
units of measurements? Provide examples in each case.
1.3 De Villiers (2003:5 - 10) classifies five different functions of proof within mathematical
statements. With the aid of examples, discuss the implications of the five functions of
proof to teaching and learning geometry.

2.1 If a regular decagonal field is fenced with a 2 250 cm wire mesh, show by calculations
the length of each side in metres.
2.2 If the sum of the interior angles of a regular polygon is 2 160˚, how many sides does it
have? Show all the steps of your calculation.
2.3 Find the total surface area of a cylinder whose radius is 14cm and the height is 20cm, if
it is closed on both sides. Show your calculations.

Re-write the following statements in your answer book. For each statement indicate whether it is
True or False.
3.1 A kite has a pair of equal adjacent angles. (1)
3.2 An equiangular triangle is equilateral. (1)
3.3. Parallel lines can lie in two different planes. (1)
3.4 All congruent quadrilaterals can tessellate. (1)
3.5 A regular pentagon has 5 lines of symmetry. (1)
3.6 A triangle can have more than one right angle.

Explain how you will teach the pythagoras theorem to grade 8 learners show all steps of your explanation

Kunle tie his mother's wrapper round his waist completely 12times. *If the measurement of his waist has a diameter 3.5cm. Find the length of the wrapper*

Construct a logarithmic spiral using golden rectangles with sides measuring 4 units.

Develop an activity that explains the concept of pathogen theorem.