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myrzilka [38]
4 years ago
10

Can someone help me with all this...

Mathematics
1 answer:
professor190 [17]4 years ago
4 0

Answer:

Option D -Parallelogram  and rhombus is the correct answer.

Step-by-step explanation:

<u>Option A -Square.</u>

In square all sides are equal and all angles are equal and each angle is equal to 90°

<u>Option B - Parallelogram </u>

In Parallelogram  opposites sides are equal and parallel. there is no right angles.

<u>Option C -Rectangle</u>

In rectangle opposites sides are equal and parallel. All angles are equal to  90°

<u>Option D -Parallelogram  and rhombus</u>

In Parallelogram  opposites sides are equal and parallel. there is no right angles.

In rhombus all sides are equal and parallel. there is no right angles.

Therefore correct answer is option D


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Answer: Choice B

(x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)

=========================================================

Explanation:

When dilating with respect to the origin, any point of the form (x,y) moves to (kx, ky) for some real number k. The k is the scale factor.

Point C is at (-2,2). It moves to C ' (-5,5)

The jump from x = -2 to x = -5 is "times 5/2" since kx = (5/2)*(-2) = -5

The same scale factor is used when going from y = 2 to y = 5.

Both x and y coordinates are multiplied by 5/2 to move from (-2,2) to (-5,5)

Therefore, the dilation rule we use is (x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)

-----------

We could have these steps to confirm

(x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)\\\\(-2,2) \to \left(\frac{5}{2}*(-2),\frac{5}{2}(2)\right)\\\\(-2,2) \to (-5,5)\\\\

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The youngest her cousin can be is 4.
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