**Question 1:**

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

A square has 4 equal sides so it is considered a rhombus. However, a rhombus does not have 90ยบ right angles so it is not considered a square.

**Question 2:**

__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__

I choose D.

A: A shape with four sides is called a quadrilateral, therefore, a square and a parallelogram have 4 sides so they are quadrilaterals.

B: Squares and parallelograms both have two pairs of parallel lines which makes the opposite sides of these quadrilaterals parallel.

C: For a shape to be a trapezoid, it has two have one pair of parallel lines.

**Question 5:**

__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.__

BFDE is a parallelogram in which the two longer parallel lines are the segment of a midpoint of the line and a point of the line, so therefore, they should be equal in length. The two shorter parallel lines are segments of two points, a midpoint of the line and a point, therefore, they should be equal in length too. BFDE has two pairs of parallel lines so therefore it is a parallelogram.

Done by Michelle Dapito.

Entry #20

ReplyDeletethanks Michelle

Good and clear explanation. You also said "it has two have one pair of parallel lines" which is not understood. In other words I think you wanted to said that it has two pairs of parallel lines.

ReplyDelete