Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

let me know if you need to see the answer choices1) is, or is not 2) -3/2 and 3/4, -3/2 and 2/3, or -4/3 and 3/4 3) are, or are not

Let Me Know If You Need To See The Answer Choices1 Is Or Is Not 2 32 And 34 32 And 23 Or 43 And 34 3 Are Or Are Not class=

Sagot :

Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular

1) Considering that to be a rectangle that quadrilateral needs to have perpendicular line segments and two pairs of congruent segments.

2) Let's find the slope of the line segments AB and BC, bearing in mind the coordinates of A(-2,-1) B(2,2) and C(4,-1)

[tex]\begin{gathered} m_{AB}=\frac{2-(-1)}{2-(-2)}=\frac{3}{4} \\ m_{BC}=\frac{-1-2}{4-2}=\frac{-3}{2} \\ m_{CD}=\frac{-4-(-1)}{0-4}=\frac{-3}{-4}=\frac{3}{4} \\ m_{AD}=\frac{-4-(-1)}{0-(-2)}=\frac{-3}{2} \end{gathered}[/tex]

Note, that in order to state that there are perpendicular lines, the slope of AB and BC should be the opposite and reciprocal so AB is 3/4 and BC should be -4/3. The same does not occur to AB and AD.

3) Hence, the answer is:

Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.