Mathematics, 27.06.2019 19:30, gennhill14

Me! two similar triangles are shown on the following coordinate grid: which set of transformations has been preformed on triangle efg to form triangle e’f’g’?

Me! two similar triangles are shown on the following coordinate grid: which set of transformation

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answered: lakiethalucas

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

$(x,y)\rightarrow (-x,y)$

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

$\frac{F'G'}{FG}=\frac{4}{1}=4$

Length of OF is 2 unit and length of OF' is 8 units.

$\frac{OF'}{OF}=\frac{8}{2}=4$

Rule of dilation with scale factor k and origin as center of dilation is defined as

$(x,y)\rightarrow (kx,ky)$

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

Me! two similar triangles are shown on the following coordinate grid: which set of transformation

answered: Guest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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Me! two similar triangles are shown on the following coordinate grid: which set of transformation...