Quadrilaterals 2

Question 1

Note this-

Answer 1

/ A square, rectangle and rhombus are all parallelograms
/ A square and a rhombus are all rectangles but a rectangle is neither
/ A parallelogram is a trapezium, but a trapezium is not a parallelogram
/ A kite is not a parallelogram

Question 2

Theorem 1

Answer 2

A diagonal of a parallelogram divides it into two congruent triangles

Question 3

Theorem 2

Answer 3

In a parallelogram opposite sides are equal

Question 4

Theorem 3

Answer 4

If each pair of opposite sides are equal it is a parallelogram

Question 5

Theorem 4

Answer 5

In a parallelogram opposite angles are equal

Question 6

Theorem 5

Answer 6

If in a quadrilateral each pair of opposite angles is equal then it is a parallelogram

Question 7

Theorem 6

Answer 7

The diagonals of a quadrilateral bisect each other.