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

E-learning 2010

Hi 105-ers,

Welcome back !

I would like to thank the following students for competing your e-learning posting by the given deadline. Appreciate the effort and research behind the thinking process. Some even attempted more than the required number of questions.

Samuel Ong, Alpha, Daniel, Aisyah, Mirza, Wu Shen, Amrit, Vivek,

Kun Yao, Zhixiang, Jonathan, Elijah, Zhi Yong

Keep up the great work.

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