Question 1,2,5 by Michelle Dapito

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 90º 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.