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Dvinal [7]
3 years ago
12

Geometry, SEMI-EASY question. I will give brainliest. Just want to double-check.

Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

Option B

Step-by-step explanation:

Let the point O is the origin.

Then the coordinates of the vertices A,B and C will be,

A → (-12, -8)

B → (-8, 0)

C → (-6, -4)

Rule for the dilation of a point (x, y) by scale factor 'k' about the origin is,

(x, y) → (kx, ky)

By this rule, coordinates of the vertices of the image triangle will be,

If k = \frac{1}{2},

A(-12, -8) → A'(-6, -4)  

B(-8, 0) → B'(-4, 0)

C(-6, -4) → C'(-3, -2)

From the given options,

Option B is the answer.

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5. Mis the midpoint of CD. C has coordinates (-1,-1) and
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Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

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5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

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D(?, ?) = (x_1, y_1)

M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2})

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3 = \frac{x_1 - 1}{2} and 5 = \frac{y_1 - 1}{2}

Solve for each:

3 = \frac{x_1 - 1}{2}

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6 = x_1 - 1

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x_1 = 7

5 = \frac{y_1 - 1}{2}

5*2 = \frac{y_1 - 1}{2}*2

10 = y_1 - 1

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Coordinates of D is (7, 11)

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