Maths eLearning Week Kenneth Teh

Sorry Mr Johari for the really later submission. I am truly sorry about it.

Question 1:

I agree with this statement, because a square has 4 sides and 2 pairs of parallel lines, so it is a rhombus. However, a rhombus does not have any perpendicular lines, so it is not a square.

Question 3:

It is a trapezium. The sum of the opposite angles of a trapezium are equal, i agree with that, as the sum of the opposite angles of a trapezium are equal.

Question 5:

Yes it is a parallelogram because the lengths of the opposite sides of BFDE are equal, and thesum of the angles of each side is 180 degrees.

Questions 1, 2 and 4 by Catherine Lim Kai Ting

Q1... 'A square is a rhombus but a rhombus is not a square'.

Technically, that sentence is correct as square has four sides and all four sides have the same length and it is the same for a rhombus except that a rhombus need not be made up of four right-angles (perpendicular lines).

Q2... Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.
- This statement is correct as the meaning of quadrilaterals is a figure with four sides and a square and a parallelogram both have four sides.

B ) Opposite sides of a square and a parallelogram are parallel.
- This statement is also correct as squares are made up of two parallel lines and a parallelogram is also made up of two parallel lines.

C ) A trapezoid has one pair of parallel sides.
- Trapezoid is a type of quadrilateral with a set of parallel line. The other two lines are vertical and diagonal and cannot be considered a second set of parallel line.

D ) All the above

Hence, the answer is D, all of the above.

Q4... 'All parallelograms are squares?' Do you agree with this statement?

No, I do not agree with the statement. Parallelograms is a shape that is made up of two parallel lines which may or may not be of the same length. A square is also made up of two parallel lines but they are of the same length.

:P Sorry for submitting this work late. I hope the answers are right and you are satisfied with them :)

Matthew ... questions 1, 2 and 4

Question 1

Basically all the squares as they have all the properties of a rhombus

2 paris of parallel lines

all the lines are straight Properties of a rhombus

the lines are all of equal length

2 paris of parallel lines

all the lines are straight Properties of a square

the lines are all of equal length

All the angles inside are 90 degrees

so we can consider a square a rhombus since it has all the properties of it but we cannot say that a rhombus is a square as it lacks 1 property of a square.

Question 2

D ( answer )

A is true because a quadrilateral is a figure that has 4 sides.

B is true as you can see in the below diagrams

C is true as shown in the below diagram

Question 4

No I do not agree with the statement as though all squares are parallelograms but not all it cannot be the inverse as the parallelogram lacks 2 of the properties of a square

2 paris of parallel lines

all the lines are straight Properties of a square

the lines are all of equal length

All the angles inside are 90 degrees

2 paris of parallel lines

all the lines are straight Properties of a parallelogram

Abigail Agustines :D

Q1. A rhombus has 4 equal sides, 2 sets of parallel lines, opposite equal acute angles, opposite equal obtuse angles. A square has 4 equal sides, 2 sets of parallel lines and 4 right angles, which are considered as both acute and obtuse angles as they are all 90 degrees. However, not all acute angles are 90 degrees and not all obtuse angles are 90 degrees, as a result, all square are rhombuses but not all rhombuses are square.

Q4. No, all parallelogram is not a square because all of the sides of a square have the same length. At the same time, some parallelograms are rectangles which means not all parallelograms are squares.

Q5. BFED is a parallelogram because it has four sides which are parallel to the line on its opposite side and the angles add up to 180⁰

Question 2, 4 and 5

Q2. My answer is D, as for (a), both the square and the parallelogram have 4 sides, (b)as both the square and the parallelogram have 2 pairs of parallel lines. Lastly, for (c), A trapezoid is the same as a trapezium, thus it also has one pair of parallel side, with the other pair of lines not parallel to each other.

Q4. I disagree with the statement as a parallelogram need not have right angles at all four corners of it, and also does not need to have the opposite sides to have equal lengths.

Q5. It is a parallelogram as BFDE has 4 sides, 2 pairs of parallel lines. As ED is equivalent to AE, and AE is parallel to BF, thus ED is parallel to BF. This confirms that ED and BF are parallel to each other, and also confirming that BE is parallel to FD.

Question 4 and 5 (Add-on) - Elijah Wong

Question 4:
I do not agree with the statement. Squares have 4 equal sides and 2 pair of parallel sides that meet at right angle while a parallelogram do not have 4 equal sides. However, a parallelogram have 2 two pair of parallel sides that do not meet at right angles.

Question 5:
BFED is a parallelogram as it has 4 sides, 2 pair of parallel lines and it has a pairs of angles that add up to 180.

Questions 1, 2 and 3 - Elijah Wong

Question 1:
I agree with the statement. A square is a rhombus as the square has the same/ equal length and are parallel to each other. A rhombus is not a square as it does not have 4 right- angled triangles.

Question 2:
My answer is D. A square and a rhombus has four corners and the interior angles add up to 360° thus, both of themare considered quadrilaterals. Both square and rectangle have 2 pairs if parallel lines. A trapezoid is a four-sided figure with one pair of parallel sides.

Question 3:
The figure is a trapezium as it is the only quadrangle that has two sides opposing with the same length and the the other two with different length. Also. the vertical pairs of angles are a total of 180 degrees. Thus, it is a trapezium.

Questions 1, 2 and 4 - Jonathan Then

Question 1 - Yes.

A square is a rhombus as it is a quadrilateral with four equal sides.

But there are rhombuses which are not squares because their angles are not right angles.

Question 2 - D

A square is a regular quadrilateral. It has 4 equal sides.

A parallelogram is a quadrilateral. It has two pair of parallel lines.

A square has 4 equal sides so the opposite side are parallel.

A parallelogram has two parallel lines.

Trapezoid is a four sided figure with one pair of parallel line.

Trapezoid

Question 4 - No, I don't.

All squares are parallelograms, but not all parallelograms are squares.

If all parallelograms are squares, the parallelogram must have equal sides.

Question 1,2,3,4,5 by zhixiang

Q1. A square is a rhombus because the sides of the square and the rhombus are the same length and its is parallel to each other. A rhombus isn't a square because it doesn't have to have 4 right angles.

Q2.All of the above. A quadrilateral is a shape with 4 sides,which is true for both squares and parallelograms. The length and position the sides of the two shapes have makes it parallel to its opposite. A trapezoid has one pair of parallel side

Q3. The figure is a trapezium because it is the only quadrangle that has two sides opposing with the same length and the the other two with different length and vertical pairs of angles are a total of 180 degrees.

Q4.No, all parallelogram is not squares as all sides of a square have the same length. And some parallelograms are rectangles so not all parallelograms are squares.

Q5.BFED is a parallelogram because it has four sides which are parallel to their opposite side and their supplementary angles add up to 180⁰

Question 1, 3, and 4 by Mirza

Question 1, 3, and 4 by Mirza

Q1

The statement is right. A square is a rhombus as it has 4 equal sides, all the sides are parallel to the opposite side. But a rhombus is not a square as the sides are not perpendicular.

Q3

The figure is a trapezium. A trapezium has a set of parallel lines which means the two opposite angles will add up to 180 degrees. The other pair of lines that is not equal in length is the top and the bottom of the trapezium.

Q4

No, a parallelogram does not have equal sides. A parallelogram also do not have angles of 90 degrees unlike a square.(perpendicular lines)

Question 1, 3 and 4 by Tay Kun Yao

Question 1:
Rhombuses don't have right angles at the vertices but squares do.
Thus, rhombuses are not squares.

Question 3:
A trapezium.
The opposite angles add up to 180⁰ , there's only one pair of opposite sides that are parallel and the length of one opposite sides are different while the other is the same. Thus, it should be a trapezium.

Question 4:
Not true.
Parallelograms are also rectangles and rhombuses and rectangles and rhombuses aren't squares. Thus, the statement 'All parallelograms are squares' is false.

Vivek's Answers to Activity 3

Question 3:
The object is a Trapezium as a trapezium has a set of parallel lines so the horizontal and vertical pairs of angles are a total of 180 degrees as they make U shape figures.

Question 4
Not all parallelograms are squares as all sides of a square have the same length This does not apply to parallelograms as they can have different sets of lengths. Yet you cannot say that non of the parallelograms are squares as they can have the same length for all their lines.

Question 5

ED=BF so through this we can shift ED towards AE. We will be able to see that They are actually parallel lines. This is because the length in between the lines is always the same so they will never touch each other.

We know that the distance between the 2 lines are the same because ED is half the length of AD and BF is half the length of BC because as parallel lines they are supposed to be the same length across. So half of both of them are the same.

Maths E-learning

Q1. A Rhombus and Square needs to have four equal sides but a Square also has to have four right angled conners. That of which some Rhombi do not fulfill. Therefore not all Rhombi are squares.

Q3. The figure is a trapezium because it is the only quadrangle that has two sides opposing with the same length and the the other two with different length.

Q4. Not all Parallelograms are Squares because not all Parallelograms have four right angles. One example is in Picture 2