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4 years ago

For figure ABCDEF shown here, identify the image after a reflection across the line connecting the

Mathematics

1 answer:

Angelina_Jolie [31]4 years ago

5 0

Answer:

The image will be DCBAFE

Step-by-step explanation:

A polygon with six sides is called a hexagon

In this question first identify the midpoints of BC and EF using perpendicular bisector.

This should be followed by joining the two midpoints with a straight edge to draw the mirror line.

The points above the mirror line F,A and B will be reflected below the mirror line.The points below the mirror line C,D and E will be reflected above the mirror line.

The image will be DCBAFE

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The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par

mylen [45]

Answer:

The similar triangles are $\triangle BPE$ and $\triangle BCG$

$BE = 321$ and $PE =286$

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are $\triangle BPE$ and $\triangle BCG$

Solving (b): Why they are similar

Both triangles are similar because $\triangle BCG$ is dilated (i.e. enlarged) and then reflected to give $\triangle BPE$ .

Solving (c): Calculate BE and PE

The following are equivalent ratios

$BP: BC = BE : BG$

and

$BP: BC = PE : CG$

Solving for BE, we have:

$BP: BC = BE : BG$

Substitute the known values

$250:350 = BE:450$

Express as fraction

$\frac{250}{350} = \frac{BE}{450}$

Multiply both sides by 450

$450 * \frac{250}{350} = BE$

$321 = BE$

$BE = 321$ -- approximated

Solving for PE, we have:

$BP: BC = PE : CG$

Substitute known values

$250:350 = PE:400$

Express as fraction

$\frac{250}{350} = \frac{PE}{400}$

Multiply both sides by 400

$400 * \frac{250}{350} = PE$

$286 = PE$

$PE =286$

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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