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3 years ago

Give the coordinates for the image of R (0, -5) E (4, -3) C (6, -5) T (2, -7) when it is reflected across the line y = x.

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

Below.

Step-by-step explanation:

The x and y coordinates flip with this reflection e, g (2, 1) goes to (1, 2).

So R (0, -5) ---> R' (-5, 0).

E (4, -3) ---> E' (-3, 4).

C (6, -5) ---> C' (-5, 6).

T (2, -7) ---> T' (-7, 2).

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3 years ago

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$\overline{A B}=\overline{D E}$

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$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

$\overline{ CA}=\overline{CD}$ – – – – (3)

$\angle ACB=\angle DCE$ – – – – (4)

$\angle ABC=\angle DEC$ – – – – (5)

$\angle BAC=\angle EDC$ – – – – (6)

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By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

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Option B: $\overline{A B}=\overline{D E}$

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Option C: $\angle A C B=\angle D E C$

By CPCTC proved in equation (4) $\angle ACB=\angle DCE$ .

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Option D: $\angle A B C=\angle E D C$

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Therefore $\angle A B C\neq \angle E D C$ . Option D is false.

Hence Option B is the correct answer.

$\Rightarrow\overline{A B}=\overline{D E}$

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