Mathematics, 11.03.2020 16:51 Hockeypro1127

Which of these sequences of transformations would not return a shape to its original position? *
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Translate 3 units up, then 3 units down.
Reflect over line p , then reflect over line p again.
Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

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Answer from: lae270

Transformation involves changing the position of a shape.

The transformation that would not return a shape to its original position is:

Rotate

counterclockwise around center C, Rotate 220^o

counterclockwise around C again

(a) Translate 3 units up, then 3 units down

Up and down translations are direct opposite translations.An upward movement by 3 units would be cancelled by a downward movement of 3 units, and the shape will return to its original position

(b) Reflect over line p, twice

Reflections over the same line in an even-number times will cancel out each other.A reflection over line p twice, will return the shape to its initial position

Right and left translations are direct opposite translations.

We have:

Left = 4

Right = 1 + 3 = 4

A 4 units movement in the right direction would be cancelled by a 4 units movement in the left directionThe shape will return to its original position

(d) Rotate 120^o counterclockwise around center C, then rotate 220^o counterclockwise around C again

The first rotation is given as:

$\theta_1 = 120^o$ -- counterclockwise

The second rotation is given as:

$\theta_2 = 220^o$ -- counterclockwise

The total rotation is calculated as:

$\theta = \theta_1 +\theta_2$

$\theta = 120^o + 220^o$

$\theta = 340^o$

This means that the shape is rotated 340^o counterclockwise.

For the shape to return to its original location, it must be rotated 360^o counterclockwise.

Hence, option (d) is correct

Read more about transformations at:

link

Answer from: charlesrogers38

4.Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

Step-by-step explanation:

We have the following statements:

1.Translate 3 units up, then 3 units down.

Translating a graph 3 units up , and then 3 units down will counter cancel each other . Original position returned here!

2.Reflect over line p , then reflect over line p again.

Reflecting over line p , and then again reflecting over p , counter cancelling each other . Original position returned here!

3.Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

Translating 1 unit right and 4 units left i.e. move 3 left units then 3 units right which counter cancel each other . Original position returned here!

4.Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

Rotating 120 degrees counterclockwise around center C , then rotating 220 degrees counterclockwise around C again will let it differ from 340 degrees from original position . Here , these sequences of transformations would not return a shape to its original position.

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Answer from: Quest

1e+27

step-by-step explanation:

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Which of these sequences of transformations would not return a shape to its original position? *

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