VIVA Voice cat 3

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Linear Questions Part 2 Answer

Question 5 E-Learning

Question:
ABCD is a parallelogram. If E is midpoint of AD and  F is midpoint of BC show, with reasons, that BFDE must be a parallelogram.

Answer:

The line BF is parallel to the line ED and the line BE is parallel to line FD.

There are 2 pairs of parallel lines so BFDE is a parallelogram.

Question 4 E-Learning

Question:
‘All parallelograms are squares?’ Do you agree with this statement?
Justify your answer with example/s.
Answer:
Not all parallelograms are squares as all the angles in a square must 
be 90 degrees.

Question 3 E-Learning

Question 3:

A quadrilateral is drawn on a piece of paper. It has one pair of opposite sides equal in length, the other pair not equal in length, and a pair of opposite angles that are supplementary¹. Identify this figure, and justify your answer with reasons.

¹ sum of two angles equals 180⁰

It is a trapezoid as it is the only quadrilateral with one pair of parallel lines and it is called an Isosceles Trapezoid.

Question 2 E-Learning

Question:

Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

Answer:

The answer is D.

A square and a parallelogram, both have four sides.

The trapezoid has only one pair of parallel lines but they are not equal in length.

Question 1 E-Learning

‘A square is a rhombus but a rhombus is not a square’.


The statement above is true because a rhombus has 2
pairs of parallel lines and the length of each side is the 
same and this also applies for the square.
Not all rhombus are squares.

ICT Linear Equation

Cartesian coordinate system

Co-ordinate systems are usually written in pairs.

The are two co-ordinates : X co-ordinate

                                               Y co-ordinate

The x co-ordinate tells us how many units to go left or right.

The y co-ordinate tells us how many units to go up or down.

Both of the co-ordinates helps us determine negative(Down and left) and positive numbers

(Up and right).
This system was developed by Rene Descartes in 1637.

The number lines, when drawn like this, are called "axes". The horizontal number line is called the "x-axis" ; the vertical number line is the y-axis.
The Cartesian Plane is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers.

Algebra: Equation

Given the following:
2x + 4 + x = 8 + 2(3 + x) -3


This is an equation.An equation is a statement that two 
numbers or expressions are equal. The variable in the equation 
above is x. The '=' sign is like a fulcrum of the equation and both
expressions at each side are equal. 

Algebra introduction

Abu Ja'far Muhammad ibn Musa Al-Khwarizmi invented algebra.
His work contains tables for the movements of the sun, the moon
and the five planets known at the time. This work marked the
turning point in Islamic astronomy.
When 2 terms have the same variable parts they are called like terms.
When 2 terms are not like like terms they are called unlike terms