Answer:
- ABCD is a rhombus, and a parallelogram
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<h3>Given </h3>
- Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)
First, plot the points (see attached picture).
Then, connect all the points.
<h3>We see that:</h3>
- Opposite sides are parallel,
- Diagonals are perpendicular.
From our observation the figure is rhombus.
Let's confirm it with the following.
1) Find midpoints of diagonals and compare.
- AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
- BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2
The midpoint of both diagonals is same (- 2, 2).
2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.
- m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
- m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3
- m(AC) × m(BD) = 3/4 * (- 4/3) = - 1
<u>Confirmed.</u>
So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.
Answer:
Page 1:
3. 0
4. 1/2
5. 1
6. 1/2
7. 1/2
8. 1
9. 0
10. 1
11. 1/2
12. 1/2
13. 0
14. 1
Page 2:
15. 1/2
16. almost all of them
17. almost all of his book
18. circle 2/11 write: The other fractions are close to half but 2/11 is close to 0
Page 3:
1. 1/2
2. 1/3
3. 3/4
4. 1/6
5. 8/15
6. 3/5
7. 1/4
8. 1 3/7
9. 1 1/2
10. 2 1/3
11. 5 1/2
12. 4 2/7
13. 5 1/8
14. 1 3/4
Answer:
120°
Step-by-step explanation:
Opposite angles in a cross of 2 lines like this are equal;
A = 120 and B = D = 60°
Answer: I know it 4 but I don’t know the equation for it, I can only help you this far.(hope it help)
Step-by-step explanation:
(1,4) and (-2,-8)
(x is the first number of the point which is 1 and -2, y is the second number of the point which is 4 and -8.)
(x1 is 1, it alway the first point they tell you on the problem like (1,-4) is on the problem first so it gonna be x1 and y1, for x2 it -2, it alway the second point in the problem like (-2,-8) is the second point they tell you so it gonna be y1 and y2.)
Do x2 - x1 and y2 - y1(y/x)
-8 - 4/-2 - 1 = -12/-3
-12/-3 divide top and bottom by -3, that would equal to 4