Question

I know its a lot but can you do it for 100 pts

Compare and contrast the following pairs of quadrilaterals based upon properties of their sides and angles. Describe the nature of their relationship, i.e., a square is a rectangle, but not all rectangles are squares.



5. Parallelograms and rectangles

Sides:



Angles:



Relationship:


6. Parallelograms and squares

Sides:



Angles:



Relationship:




7. Parallelograms and rhombi

Sides:



Angles:



Relationship:




8. Parallelograms and trapezoids

Sides:



Angles:



Relationship:




9. Rectangles and squares

Sides:



Angles:



Relationship:




10. Rectangles and rhombi

Sides:



Angles:



Relationship:




11. Rectangles and trapezoids

Sides:



Angles:



Relationship:




12. Squares and rhombi

Sides:



Angles:



Relationship:




13. Squares and trapezoids

Sides:



Angles:



Relationship:




14. Rhombi and trapezoids

Sides:



Angles:



Relationship:

Answer 1

parallelogram has two parallel pairs of opposite sides.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.
Trapezoids only have one pair of parallel sides. It's a type of quadrilateral that is not a parallelogram. (British name: Trapezium)

Answer 2

5. Parallelograms and rectangles

Sides:opposite sides are equal for both

Angles: each angle of rectangle is 90° bit varies in parallelogram

Relationship:all rectangle are parallelogram

6. Parallelograms and square

Sides: opposite side are equal in parallelogram but all sides are equal in square

Angles: all angles are equal in square but varies in parallelogram

Relationship:all square are parallelogram

7. Parallelograms and rhombus

Sides:

all sides are equal in rhombus but varies in parallelogram

Angles: all angles are equal in rhombus but varies in parallelogram

Relationship:all rhombus are parallelogram

8. Parallelograms and trapezoids

Sides:opposite sides are equal in parallelogram but not equal in trapezoid

Angles: opposite angles are equal in parallelogram but not equal in trapezoid

Relationship:

9. Rectangles and squares

Sides: opposite side are equal in rectangle but all side are equal in square

Angles:all angle is 90°

Relationship:all square is rectangle

10. Rectangles and rhombi

Sides: all sides are equal in rhombus but only opposite side are equal in rectangle

Angles: each angle of rectangle is 90° but

varies in rhombus