Triangle JKL is graphed on a coordinate grid with vertices at J (-1, -4), K (2, 5) and L (8, -1). Triangle JKL is dilated by a scale factor of u with the origin as the center of dilation to create triangle J’K’L’.

Which ordered pair represents the coordinates of the vertex L’?

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Ответ:

beverly8075

13.10.2020

Mathematics

They are similar for their radii, and perimeters have the same ratio: 2

Step-by-step explanation:

The similarity of circles is proved, when we can compare the ratio, between the two radii and the two perimeter and it is the same.

2. The Circle X, has a radius of 6 and the circle Y has the radius of 3.

So let's do it:

$\frac{R_{x}}{R_{y}} =\frac{6}{3} =2$

3. Now let's check the Perimeters:

$\frac{2P_{x}}{2P_{y}}=\frac{2\pi*6}{2\pi*3}=2$

4. In addition to this, we can do this Geometrically, by inserting the Circle Y within the Circle X, and if dilate by the scale factor of 2 we'll have these two circumferences coincide.

Prove that the two circles shown below are similar. Circle X is shown with a center at negative 2, 8

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Triangle JKL is graphed on a coordinate grid with vertices at J (-1, -4), K (2, 5) and L (8, -1). Triangle JKL is dilated by a scale factor of u with the origin as the center of dilation to create triangle J’K’L’. Which ordered pair represents the coordinates of the vertex L’?