Mathematics: What is the most precise term for quadrilateral abcd with vertices a(4,4) b(5,8) c(8,8) and d(8,5)? a(square b(rhombus c(kite d(parallelogram

Idk, :)please answer in the comments 3...

What is the most precise term for quadrilateral

Ahemingway7164

09.01.2022

Step-by-step explanation:

The given coordinates of quadrilateral ABCD are A(4,4) B(5,8) C(8,8) and D(8,5). Using the distance formula,

AB= $\sqrt{(8-4)^{2}+(5-4)^2}=\sqrt{16+1}=\sqrt{17}$ ,

BC= $\sqrt{(8-8)^2+(8-5)^2}=\sqrt{0+9}=3$ ,

CD= $\sqrt{(8-5)^2+(8-8)^2}=\sqrt{9+0}=3$ and

DA= $\sqrt{(5-4)^2+(8-4)^2}=\sqrt{1+16}=\sqrt{17}$

Since, the Two disjoint pairs of consecutive sides are congruent as AB=DA and BC=CD.

Thus, by definition of kite, that Two disjoint pairs of consecutive sides are congruent, the given quadrilateral is a kite.

0,0(0 оценок)