Which of the following would result in a clockwise, №18009768, 18.07.2022 07:43

Mathematics

Which of the following would result in a clockwise rotation? R180° R-90° R90 ° R270°

Step-by-step answer

P Answered by Master

B. R-90

Step-by-step explanation:

from A it goes to B, so minus ninety

Which of the following would result in a clockwise rotation?
R180°
R-90°
R90 °
R270°

Mathematics

Brooke wants to rotate this triangle 90° clockwise about the origin. which other transformation would give exactly the same result as brooke’s rotation? a. rotation 270° counter-clockwise about the origin b. reflection across the y -axis c. rotation 270° clockwise about the origin d. reflection across the x -axis

Step-by-step answer

P Answered by PhD

4

A. rotation 270° counter-clockwise about the origin

Step-by-step explanation:

You can go in one direction by (some amount) around a circle to get to a specific spot, or you can go in the other direction by an amount that is (360° - (some amount)). You will get to the same spot.

CW 90° is the same as CCW 270°

Mathematics

Brooke wants to rotate this triangle 90° clockwise about the origin. which other transformation would give exactly the same result as brooke’s rotation? a. rotation 270° counter-clockwise about the origin b. reflection across the y -axis c. rotation 270° clockwise about the origin d. reflection across the x -axis

Step-by-step answer

P Answered by PhD

4

A. rotation 270° counter-clockwise about the origin

Step-by-step explanation:

You can go in one direction by (some amount) around a circle to get to a specific spot, or you can go in the other direction by an amount that is (360° - (some amount)). You will get to the same spot.

CW 90° is the same as CCW 270°

Mathematics

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180 clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Step-by-step answer

P Answered by Master

24

it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin

Step-by-step explanation:

Mathematics

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180 clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Step-by-step answer

P Answered by Master

24

it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin

Step-by-step explanation:

Mathematics

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180 clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180 clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Step-by-step answer

P Answered by PhD

13

rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

Mathematics

Figure O is the result of a transformation on figure N. which transformation would accomplish this. a. a rotation 90 clockwise about the orgin b. a translation 5 units and 2 units down c. a rotation 90 counterclockwise about the orgin d. a translation 5 units left and 2 units up

Step-by-step answer

P Answered by PhD

The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

The given two figures are formed by the transformation.

The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.

So, the transformation of x coordinate is,

$1-(-4)=5\rm\;units$

And transfrmation of y coordinate is,

$-1-1=-2\rm\;units$

The figure is not rotated at any angle as they both are identical in orientation.

From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).

Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

For more details, refer to the link:

link

Mathematics

Figure O is the result of a transformation on figure N. which transformation would accomplish this. a. a rotation 90 clockwise about the orgin b. a translation 5 units and 2 units down c. a rotation 90 counterclockwise about the orgin d. a translation 5 units left and 2 units up

Step-by-step answer

P Answered by PhD

The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

The given two figures are formed by the transformation.

The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.

So, the transformation of x coordinate is,

$1-(-4)=5\rm\;units$

And transfrmation of y coordinate is,

$-1-1=-2\rm\;units$

The figure is not rotated at any angle as they both are identical in orientation.

From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).

Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

For more details, refer to the link:

link

Mathematics

Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day. Determine whether each option below would result in any part of the picnic table being shaded by the umbrella at mid- day. Explain how you know. • Option A: Rotate the picnic table 90° clockwise about the point (5, 0). Option B: Move the umbrella to a location 4 feet to the left and 1 foot down. • Option C: Move the umbrella to a location 3 feet down and 2 feet to the left. Enter your answers and explanations in the space provided

Step-by-step answer

P Answered by PhD

7

Option C

Step-by-step explanation:

Refer to attached picture

At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.

So the options:

Option A: Rotate the picnic table 90° clockwise about the point (5, 0)

No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.

Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.

No. The movement will bring the umbrella down by one feet and no intersections.

Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.

Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct option
Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the

Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the

Mathematics

Which transformations would result in a geometric figure that is exactly the same size and shape as def? check all that apply. a. reflect def across the line x = 1. b. translate def two units to the left. c. rotate def 90 clockwise about the point (1, 2). d. dilate def by a factor of 1.5.

Step-by-step answer

P Answered by PhD

4

You reflect it, Translated and Rotate it

Step-by-step explanation:

All you do is look at the graph and if you know what each means then you got your answer.

Which of the following would result in a clockwise rotation?
R180°
R-90°
R90 °
R270°

Step-by-step answer

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