Question

Judging by appearance, classify the figure in as many ways as possible using rectangle, square, quadrilateral, parallelogram, rhombus.
https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRgg1nqg8L7-P1BkaykasmU-oaDGOIK8Re1PrplHVFuqoh1Jk_2Iw

Answer 1

Find the values of the variables and the lengths of the sides of this kite

Answer 2

I just need to know if its a rectangle, square, quadrilateral, parallelogram, and a rhombus..?

Answer 3

okat

Answer 4

ok

Answer 5

so parallelogram and rhombus

Answer 6

Quadrilateral too right?

Answer 7

Rectangles have a couple of properties that help distinguish them from other parallelograms. By studying these properties, we will be able to differentiate between various types of parallelograms and classify them more specifically. Keep in mind that all of the figures in this section share properties of parallelograms. That is, they all have

(1) opposite sides that are parallel,

(2) opposite angles that are congruent,

(3) opposite sides that are congruent,

(4) consecutive angles that are supplementary, and

(5) diagonals that bisect each other.

Now, let’s look at the properties that make rectangles a special type of parallelogram.

(1) All four angles of a rectangle are right angles.

(2) The diagonals of a rectangle are congruent.



Rhombuses
Definition: A rhombus is a quadrilateral with four congruent sides.

Similar to the definition of a rectangle, we could have used the word “parallelogram” instead of “quadrilateral” in our definition of rhombus. Thus, rhombuses have all of the properties of parallelograms (stated above), along with a few others. Let’s look at these properties.

(1) Consecutive sides of a rhombus are congruent.

(2) The diagonals of a rhombus bisect pairs of opposite angles.

(3) The diagonals of a rhombus are perpendicular.



Squares
Definition: A square is a parallelogram with four congruent sides and four congruent angles.

Notice that the definition of a square is a combination of the definitions of a rectangle and a rhombus. Therefore, a square is both a rectangle and a rhombus, which means that the properties of parallelograms, rectangles, and rhombuses all apply to squares. Because squares have a combination of all of these different properties, it is a very specific type of quadrilateral.



Look at the hierarchy of quadrilaterals below. This figure shows the progression of our knowledge of polygons, beginning with quadrilaterals, and ending with squares