Why isn't a dilation considered a rigid transformation?

1 answer:

7 0

It's not rigid because dilations (scale factor not equal to 1) change the length of the segments, or the distances between the points. You'll get a similar figure but it won't be congruent. For example, if the scale factor is 3, then the distances will be three times as large; or the lengths will be 3 times as long.

To be "rigid", the lengths must be kept the same. In contrast, a reflection is rigid because the distances are kept the same. The only thing changing is the orientation (clockwise to counter-clockwise, or vice versa).

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Find the length of UT¯¯¯¯¯¯¯+CV¯¯¯¯¯¯¯¯. A. 53 B. 4x + 35 C. 65 D. 59

Liono4ka [1.6K]

Answer:

UT + CV = 4x + 33

Step-by-step explanation:

Given:

TW = 14

WU = 2x + 2

VW = 2x + 5

WC = 12

Find:

UT + CV

Computation:

UT = TW + WU

UT = 14 + 2x + 2 = 16 + 2x

CV = VW + WC

CV = 2x + 5 + 12 = 2x + 17

UT + CV

16 + 2x + 2x + 17

UT + CV = 4x + 33

3 0

3 years ago

Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25,

Ghella [55]

Answer:

Step-by-step explanation:

To get the median, we line the values up from lowest to greatest.

23, 25, 25, 27, 32, 35, 36

What's the number in the middle? Since there's an odd number of values, it's easier to see: the median is 27.

6 0

3 years ago

Read 2 more answers

they are 15 entrees available at a restaurant. from these, Archie is to choose 6 for his party. how many groups of 6 entrees can

Goshia [24]

In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.

The equation for combination is,
nCr = n!/((n - r)!(r!))

nCr is read as "combination of n taken r".

Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005

Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.

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3 years ago

Find the range of the function f(x) = 4x - 7,

ratelena [41]

Answer:

(- 19, - 11, 5, 25)

Step-by-step explanation:

The given function is f(x) = 4x - 7

Now, we have to find the range of the given function for the given domains.

The domains are given as (2 - 5, - 1, 3, 8) i.e. (- 3, - 1, 3, 8).

Therefore, f(- 3) = 4(- 3) - 7 = - 19

f(- 1) = 4(- 1) - 7 = - 11