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pychu [463]
3 years ago
5

Given trapezoids QRST and WXYZ, which statement explains a way to determine if the two figures are similar?

Mathematics
2 answers:
Cloud [144]3 years ago
9 0

for two figures to be proportional, their <u>corresponding pair of sides must retain a proportion</u>, regardless of rotation or translation of the figure.

so if we simply verify that all corresponding pairs of sides are proportional under transformation, if they are, then the figures are similar.

Arturiano [62]3 years ago
6 0

Answer:

The correct option is C. Verify corresponding pairs of sides are proportional by dilation

Step-by-step explanation:

The scale factor is the ratio between the dimensions in two similar figures. The term "similar figures" refers to figures that have the same shape but different sizes.

So, a dilation is a transformation created by a scale factor.

That is, a dilation that is smaller or larger than the original figure can be created.

To obtain a measure of the large figure and have the value of the small figure, this value is multiplied by the scale factor.

To obtain a measure of the small figure and the value of the large figure, this value is divided by the scale factor.

In other words, the scale factor is the radius that determines the proportional relationship between the sides of similar figures. In order for the pairs of sides to be proportional to each other, they must have the same scale factor. That is, similar figures have congruent angles (Dilation keeps the measure of the corresponding angles are equal) and sides with the same scale factor.

For example, a scale factor of two means that each side of the larger figure is exactly twice as large as the corresponding side in the smaller figure.

Given the above, <u><em>the correct option is C. Verify corresponding pairs of sides are proportional by dilation</em></u>

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Translate the word phrase into an algebraic expression.
Lerok [7]

Answer:

61 + x

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3 0
3 years ago
Someone KEEPS answering my questions and THERE ANSWERS ARE RIGHT. AHH HOW? srlt2 you smart. Anyways does anyone wanna help me
vekshin1

Answer:

lol, hello again!

SA = 456 cm²

Step-by-step explanation:

small rectangle SA: 6*4 + 6*8 + 6*4 + 6*8 + 4*8 = 176

large rectangle SA: 2*14 + 2*8 + 2*14 + 2*8 + 8*14 + (8*14 - 8*4) = 280

Total SA = 176 + 280 = 456

7 0
3 years ago
It costs $430 to rent the cottage for the weekend.Last year it cost $400.What percentage increase is this?
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It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.
3 0
2 years ago
Read 2 more answers
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0
3 years ago
Read 2 more answers
6x-5y=17 solve the system
pantera1 [17]
6x-5y=17
-6x -6x
__________
-5y= -6x+17
______________
-5


y=
\frac{6}{5 } x +   \frac{17}{ - 5}
4 0
3 years ago
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