What is 240 divided by 6 using a double number line?
1 answer:
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The slope of CD is 2
Step-by-step explanation:
The transformation done is dilation and the Dilation preserves the parallel lines that means that the image line C'D' of the line CD are parallel to each other and their slopes are same. so we have to find the slope of CD.
If the line is passing through the points (x1, y1) and (x2, y2), the slope is
From the diagram the coordinates of points C and D are :
C(5, 4), D(4, 2).
Thus, the slope of CD is
= 2
Hence, The slope of CD is 2, it does not change after dilation.
Ignoring the triangle first off, it is just a parallelogram. We can find the area with:
(see first diagram).
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram:
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram: