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:

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

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!