The figure shows two triangles on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4.

What set of transformations is performed on triangle ABC to form triangle A'B'C'?

A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right
A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin

Question

27-09-2021
Mathematics

contestada

The figure shows two triangles on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4.

What set of transformations is performed on triangle ABC to form triangle A'B'C'?

A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right
A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin

Respuesta :

Otras preguntas

Read the line below from the poem “Birmingham Sunday” by Richard Fariña and answer the question that follows. At an old Baptist church there was no need to run.

The use of the normal probability distribution as an approximation of the sampling distribution of p̄ is based on the condition that both np and n(1 – p) equal

Write an example sentence using facts or formal tone

Question6 calculate the cost of preferred stock from the information given below: annual dividend on preferred stock $ 13.50 price 110.00 flotation cost 6.00

An example of human capital is Question 16 options: a.Training of workers b.Healthcare for workers c. Employee Gym d.All of the above

the dominant carbohydrate in human milk is _____.

The graph of the function B is shown below. Find B(2).Could you also explain how to do this?Thanks!

Which of the following statements about peer pressure is NOT accurate?

Solid potassium hydroxide koh decomposes into gaseous water and solid potassium oxide . write a balanced chemical equation for this reaction.

In a story, what would cause a character to be considered complex

kobenhavn kobenhavn · Answer 1 · 2021-09-30T13:43:53+02:00

The correct statement is "A translation [tex]5[/tex] units to the right, followed by a [tex]180[/tex]-degree counterclockwise rotation about the origin"

[tex]A=(-4,-1), B=(-3,-1), C=(-4,-4)[/tex]

[tex]A'=(-1,1), B'=(-2,1), C'=(-1,1)[/tex]

Option A:

[tex]A=(-4,-1)[/tex]

Translate [tex]5[/tex] units up, we get [tex](-4,-1+5)=(-4,4)[/tex].

When rotating a point [tex]270[/tex] degrees counterclockwise about the origin our point [tex]A(x,y)[/tex] becomes [tex]A'(y,-x)[/tex].

So, [tex]270[/tex]-degree counterclockwise rotation about the origin will give [tex](4,4)[/tex].

This is not equal to [tex](-1,1)[/tex].

So, this option is incorrect.

Option B:

[tex]A=(-4,-1)[/tex]

When rotating a point [tex]270[/tex] degrees counterclockwise about the origin our point [tex]A(x,y)[/tex] becomes [tex]A'(y,-x)[/tex].

So, [tex]270[/tex]-degree counterclockwise rotation about the origin will give [tex](-1,4)[/tex].

Now, translating [tex]5[/tex] units up, we get [tex](-1,4+5)=(-1,9)[/tex]

This is not equal to [tex](-1,1)[/tex].

So, this option is incorrect.

Option C:

[tex]A=(-4,-1)[/tex]

When rotating a point [tex]180[/tex] degrees counterclockwise about the origin our point [tex]A(x,y)[/tex] becomes [tex]A'(-x,-y).[/tex]

So, [tex]180[/tex]-degree counterclockwise rotation about the origin will give [tex](4,1)[/tex].

Now, translating [tex]5[/tex] units right, we get [tex](4+5,1)=(9,1)[/tex]

This is not equal to [tex](-1,1)[/tex].

So, this option is incorrect.

Option D:

[tex]A=(-4,-1)[/tex]

Translate [tex]5[/tex] units right, we get [tex](-4+5,-1)=(1,-1).[/tex]

When rotating a point [tex]180[/tex] degrees counterclockwise about the origin our point [tex]A(x,y)[/tex] becomes [tex]A'(-x,-y).[/tex]

So, [tex]180[/tex]-degree counterclockwise rotation about the origin will give [tex](-1,1)[/tex].

This is equal to [tex](-1,1)[/tex].

So, this option is correct.

Learn more about translation and rotation here:

https://brainly.com/question/15577335?referrer=searchResults