Answer:
4/5
Step-by-step explanation:
From point (-2,0) to point (3,4).
Rise is 4, Run is 5
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Distance between A(0, -3) and C(2, 8),
AC = ![\sqrt{(8+3)^2+(2-0)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%2B3%29%5E2%2B%282-0%29%5E2%7D)
= ![\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B125%7D)
= ![5\sqrt{5}](https://tex.z-dn.net/?f=5%5Csqrt%7B5%7D)
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = ![\sqrt{(5-0)^2+(6+4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-0%29%5E2%2B%286%2B4%29%5E2%7D)
= ![\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B125%7D)
= ![5\sqrt{5}](https://tex.z-dn.net/?f=5%5Csqrt%7B5%7D)
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
Answer and Step-by-step explanation:
Haven't done this in a while, so here we go:
The rule (I'm not really sure) would have to be negative number and negative number.
This means that:
(4, 0) would become (-4, 0) A'
(6, -2) becomes (-6, 2) B'
(8, -7) becomes (-8, 7) C'
and (0, -5) becomes (0, 5) D'
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