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MaRussiya [10]
3 years ago
7

As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the li

ne of reflection that maps triangle ABC onto its image?​

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

Line of reflection will be y = -2

Step-by-step explanation:

From the picture attached,

Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.

To find the line of reflection,

Coordinates of point C → (7, 0)

Coordinates of point C' → (7, -4)

Line of reflection = line passing through midpoint of the line joining C and C'

Midpoint of the line joining points C and C' = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

                                                                        = (\frac{7+7}{2},\frac{0-4}{2})

                                                                        = (7, -2)

Therefore, line of reflection is y = -2.

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Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

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C(1 , 2) ⇒ C'(3 , 6)

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To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

~

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