Mathematics : asked on 22chandlerlashley

23.12.2020

figure ABCD is transformed to obtain figure A’B’C’D’
Part A: write the sequence of transformations that changes figure ABCD to figure A’B’C’D’.
Part B: Are the two figures congruent?

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Mathematics

Pls pls pls pls hu figure abcd is transformed to obtain figure a b c d : part a: write the sequence of transformations that changes figure abcd to figure a b c d . explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) part b: are the two figures congruent? explain your answer.

Step-by-step answer

P Answered by PhD

Part A: The graph reflected across y-axis and translated 4 units down.

Part B: Yes both figures are congruent.

Step-by-step explanation:

Part A:

From the given figure it is clear that the vertices of preimage are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of image are A'(4,0), B'(2,-2), C'(2,-5) and D'(4,-4).

The relation between preimage and image is defined by the rule

$(x,y)\rightarrow (-x,y-4)$

The graph reflected across y-axis, so

$(x,y)\rightarrow (-x,y)$

then translated 4 units down.

$(x,y)\rightarrow (-x,y-4)$

Therefore the graph of figure ABCD reflected across y-axis and translated 4 units down to get A'B'C'D'.

Part B:

Reflection and translation are rigid transformation. It means the size and shape of the image is same after reflection and translation.

Rigid transformation always produce congruent figures.

Since figure ABCD reflected across y-axis and translated 4 units down to get A'B'C'D', therefore

$ABCD\cong A'B'C'D'$

Yes both figures are congruent.

Mathematics

PLEASE HELP THIS IS SUPER URGENT ILL GIVE YOU EXACTLY 50 POINTS IF YOU ANSWER THIS PLEASE DON T COMMENT SOMETHING THAT HAS NOTHING TO DO WITH THE QUESTION PLEASE AND THANK YOU Figure ABCD is transformed to obtain figure A′B′C′D′: A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5,

Step-by-step answer

P Answered by PhD

Answer

:Reflected along x axis

Translated 7 units to the righ

A transformation of a point is the movement of the point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

Figure ABCD has A at (- 4, 4), B at (- 2, 2), C at (- 2, - 1), D at (- 4, 1).

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get you a better answer! :)

Can i get brainliest plz, im trying to unpgrade my rank!

Mathematics

Figure ABCD is transformed to obtain figure A B C D : A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1. Part A: Write the sequence of transformations that changes figure ABCD to figure A B C D . Explain your answer and write the coordinates of the figure

Step-by-step answer

P Answered by Specialist

Given:

Vertices of ABCD are A(-4,4), (-2,2), C(-2,-1) and D(-4,1).

Vertices of A'B'C'D' are A'(3,-4), B'(5,-2), C'(5,1) and D'(3,-1).

To find:

The sequence of transformations that changes figure ABCD to figure A'B'C'D'.

Solution:

Part A:

The figure ABCD reflected across the x-axis, then

$(x,y)\to (x,-y)$

Using this rule, we get

$A(-4,4)\to A_1(-4,-4)$

Similarly, the other points are B_1(-2,-2),C_1(-2,1),D_1(-4,-1) .

Then figure translated 7 units right to get A'B'C'D'.

$(x,y)\to (x+7,y)$

$A_1(-4,-4)\to A'(-4+7,-4)=A'(3,-4)$

Similarly, the other points are B'(5,-2), C'(5,1),D'(3,-1) .

Therefore, the figure ABCD reflected across the x-axis and then translated 7 units right to get A'B'C'D'.

Part B:

Reflection and translation are rigid transformation, it means shape and size of figures remains same after reflection and translation.

Therefore, the two figures congruent.

Mathematics

Will give ! (02.03 mc) figure abcd is transformed to obtain figure a b c d : a coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. figure abcd has a at ordered pair negative 4, 4, b at negative 2, 2, c at negative 2, negative 1, d at negative 4, 1. figure a prime b prime c prime d prime has a prime at ordered pair 4, 1, b prime at 2, negative 1, c prime at 2, negative 4, d prime at 4, negative 2. part a: write the sequence of transformations that changes figure abcd to figure a b c d . explain your answer and write the

Step-by-step answer

P Answered by Specialist

Part A: The graph of ABCD is reflected across y-axis and translate 3 units down.

Part B: The figures ABCD and A'B'C'D' are congruent.

Step-by-step explanation:

Part A:

From the given graph it is clear that the coordinates of ABCD are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of A'B'C'D' are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).

If the graph of ABCD is reflected across y-axis, then

$(x,y)\rightarrow (-x,y)$

Using this rule the vertices of ABCD after reflection across y-axis are A₁(4,4), B₁(2,2), C₁(2,-1) and D₁(4,1).

If the graph of A₁B₁C₁D₁ is translate 3 units down, then

$(x,y)\rightarrow (x,y-3)$

The vertices of ABCD after reflection across y-axis and translation 3 units down.

$A_1(4,4)\rightarrow A'(4,1)$

$B_2(2,2)\rightarrow B'(2,-1)$

$C_1(2,-1)\rightarrow C'(2,-4)$

$D_1(4,1)\rightarrow D'(4,-2)$

Therefore the graph of ABCD is reflected across y-axis and translate 3 units down.

Part B:

Reflection and translation is a rigid transformation. It means the size and shape of figure remains same.

Therefore the figures ABCD and A'B'C'D' are congruent.

Will give ! (02.03 mc) figure abcd is transformed to obtain figure a'b'c'd': a coordinate grid is s

Mathematics

Figure ABCD is transformed to obtain figure A B C D Write the sequence of transformations that changes figure ABCD to figure A B C D . Explain your answer and write the coordinates of the figure obtained after each transformation.

Step-by-step answer

P Answered by Master

Step-by-step explanation:

To go from ABCD to A’B’C’D’ takes two transformations.

Step-1 : Reflect the original figure around the x-axis.

Step-2 : Slide the new figure 7 units to the right.

See the attached drawing. It shows the whole process

including the intermediate status and coordinates of

the four points after Step-1. You’ll love it.

B). I looked up a definition of ’congruent’. It said that two figures

are congruent if they have have the same shape and size after

being moved, rotated, or reflected. (I was worried about the

’reflected’ part. )

With that definition, I’ll let you decide whether these figures

are congruent.

In conclusion, let me express my gratitude for the generous

5-points bounty with which I’ve been showered by answering

this question. The green crust and the cup of tepid turgid water

have been delicious, and by working quickly and efficiently, I was

able to construct the attached file in less than an hour.

Figure ABCD is transformed to obtain figure A'B'C'D' Write the sequence of transformations that chan

Mathematics

Step-by-step answer

P Answered by Specialist

Step-by-step explanation:

To go from ABCD to A’B’C’D’ takes two transformations.

Step-1 : Reflect the original figure around the x-axis.

Step-2 : Slide the new figure 7 units to the right.

See the attached drawing. It shows the whole process

including the intermediate status and coordinates of

the four points after Step-1. You’ll love it.

B). I looked up a definition of ’congruent’. It said that two figures

are congruent if they have have the same shape and size after

being moved, rotated, or reflected. (I was worried about the

’reflected’ part. )

With that definition, I’ll let you decide whether these figures

are congruent.

In conclusion, let me express my gratitude for the generous

5-points bounty with which I’ve been showered by answering

this question. The green crust and the cup of tepid turgid water

have been delicious, and by working quickly and efficiently, I was

able to construct the attached file in less than an hour.

Mathematics

40 POINTS NEED HELP Figure ABCD below is transformed to obtain figure A′B′C′D′: A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2. Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write

Step-by-step answer

P Answered by Master

Where is the grid are u gonna take a pic?

Mathematics

BRAINLIEST AND 25 POINTS Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer

Step-by-step answer

P Answered by PhD

down 3, left 1.

reflection over y-axis

yes, the 2 figures are congruent

Step-by-step explanation:

Mathematics

Me i will give brainliest for both parts part a: write the sequence of transformations that changes figure abcd to figure a′b′c′d′. explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) part b: are the two figures congruent? explain your answer. (4 points)

Step-by-step answer

P Answered by Specialist

For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)

The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)

Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.

Mathematics

I NEED THIS ASAP Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer.

Step-by-step answer

P Answered by Master

Part A: Reflection over y-axis then translate 4 units down. After reflection a= (4,4), b=(2,2), c=(2,-1), d=(4,1). After the translation the end points are the ones shown in the end product.
Part B: yes the are congruent bc they are the same shape, have same lengths. They’re the exact same size

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