Parallelograms

Question 1

Explain a parallelogram

Sides, parallel sides, angles and diagonals

Answer 1

Parallelogram: 
Sides- opposite sides are equal
parallel sides- opposite sides are parallel 
angles- opposite angles are equal 
diagonals- diagonals bisect each other

Question 2

Explain a rhombus

Sides, parallel sides, angles and diagonals

Answer 2

Rhombus:
Sides- 4 equal sides
parallel sides- opposite sides are parallel
angles- opposite angles are equal
diagonals- diagonals bisect each other - angle of 90 formed

Question 3

what is a convex quadrilateral?

Answer 3

A convex quadrilateral has both diagonals completely contained within the shape. Each interior angle is less than 180.

Question 4

Theorem 9

Answer 4

In a parallelogram, opposite sides are equal and opposite angles are equal.

Question 5

Converse to theorem 9 1.

Answer 5

For a convex quadrilateral, if opposite angles are equal then the quadrilateral is a parallelogram.

Question 6

Converse to theorem 9 2.

Answer 6

For a convex quadrilateral, if opposite sides are equal then the quadrilateral is a parallelogram.

Question 7

Theorem 10

Answer 7

The diagonals of a parallelogram bisect each other.

Question 8

Corollary 1

Answer 8

A diagonal divides a parallelogram into two congruent triangles.

Question 9

Converse to theorem 10

Answer 9

If the diagonal of a quadrilateral bisect one another, then the quadrilateral is a parallelogram