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shepuryov [24]
3 years ago
13

Triangle DEF was dilated according to the rule DO,(x,y) to create similar triangle D'E'F'.

Mathematics
2 answers:
lord [1]3 years ago
5 0
A dilation is a transformation, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

Thus, a dilation with centre O and a scale factor of \frac{1}{3} maps the original figure to the image in such a way that the distances from O to the vertices of the image are \frac{1}{3} times the distances from O to the original figure. Also the size of the image are <span>\frac{1}{3} times the size of the original figure. Also the two resulting figures (i.e. the image and the pre-image are congruent)

Thus in the dilation of triangle DEF, the following are true.</span>
<span>∠F corresponds to ∠F'.

The measure of ∠E' is the measure of ∠E.

△DEF ≈ △D'E'F'</span>
Diano4ka-milaya [45]3 years ago
3 0

Answer:

<em><u>∠F corresponds to ∠F'. </u></em>

<em><u> The distance from point D' to the origin is the distance of point D to the origin. </u></em>

<em><u> △DEF △D'E'F'</u></em>

Step-by-step explanation:

I JUST TOOK THE QUIZ!!!!

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Naddika [18.5K]

Answer:

  7.1 cm

Step-by-step explanation:

Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...

  (10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse

  100 cm² = 2s² . . . . . . simplify

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  √(50) cm = s ≈ 7.1 cm . . . . . take the square root

The length of a side of the square to the nearest tenth is 7.1 cm.

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3 years ago
which expression is equivalent to the product 2x(x+2) (x-3)? A. 12x to the third - 12x ) B. 2x to the third - 4x squared - 6) C.
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Answer:

Option 4 is the correct option.

Step-by-step explanation:

We need to solve the expression 2x(x+2)(x-3)

Multiplying the terms with each other we get,

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Option 4 is the correct option.

3 0
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How can you use number patterns to find the least common multiple of 120 and 360?
Maslowich
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Answer:

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Step-by-step explanation:

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