what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1)

Question

2 years ago

5

form quadrilateral UVWX?

1 answer:

Nimfa-mama [501] · Answer 1 · 2023-09-14T13:09:05+03:00

The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.

<h3>What is Distance Formula?</h3>

Algebraic expression that gives the distances between pairs of points in terms of their coordinates

Given that: U(7,9), V(0,5), W(-6,-3) ,X(1,1)

The length can be find by using Distance Formula,

Length of UV,

= $\sqrt{(0-7)^{2} + (5-9)^{2}}$

= $\sqrt{49+16}$

= √65 units

Length of VW,

= $\sqrt{(-6-0)^{2}+(-3-5)^{2}}$

= $\sqrt{36 + 64}$

=√100 units

= 10 units

Length of WX,

= $\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}$

= √49+ 14

= √65 units

Length of XU,

= $\sqrt{(7-1)^{2}+(9-1)^{2}}$

= √36+64

=√100 units

= 10 units

Length of UW,

= $\sqrt{(-6-7)^{2}+(-3-9)^{2}}$

= √169+144

=√313 units

Length of VX,

= $\sqrt{(1-0)^{2}+(5-1)^{2}}$

= √1+16

=√17 units

Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.

Learn more about distance formula here:

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