What is the image of (-1,-4) after a reflection over the line y=-x

[tex]\huge\boxed{(4,1)}[/tex]

Step-by-step explanation:

The point is (-1,-4)

It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )

So, when it is reflected over y = -x , it becomes (4,1)

(4, 1 )

Step-by-step explanation:

Under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , thus

(- 1, - 4 ) → (4, 1 )

[tex]22.\\B\\\\\\24.\\\alpha=360^o:12=30^o\\\\Abbey-Kai\to2\cdot30^o=60^o\\\\Kai-Haifa\to3\cdot30^o=90^o\\\\D[/tex]

[tex]25.\\\alpha=360^o:12=30^o\\\\Lacy+90^o\to(90^o:30^o=3)\to Igor\\\\Igor+30^o\to(30^o:30^o=1)\to Haifa\\\\D[/tex]

[tex]28.\\(x;\ y)\to(x-1;\ y-3)\\\\\vec{a}=[-1;-3]\\\\A(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\\\\B(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\\\\C(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\\\\B[/tex]

[tex]29.\\P(0;\ 0)\\\\\Downarrow S_{x=-3}\\\\P'(-6;\ 0)\\\\\Downarrow S_{y=4}\\\\P''(-6;\ 8)\\\\D[/tex]

[tex]22.\\B\\\\\\24.\\\alpha=360^o:12=30^o\\\\Abbey-Kai\to2\cdot30^o=60^o\\\\Kai-Haifa\to3\cdot30^o=90^o\\\\D[/tex]

[tex]25.\\\alpha=360^o:12=30^o\\\\Lacy+90^o\to(90^o:30^o=3)\to Igor\\\\Igor+30^o\to(30^o:30^o=1)\to Haifa\\\\D[/tex]

[tex]28.\\(x;\ y)\to(x-1;\ y-3)\\\\\vec{a}=[-1;-3]\\\\A(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\\\\B(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\\\\C(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\\\\B[/tex]

[tex]29.\\P(0;\ 0)\\\\\Downarrow S_{x=-3}\\\\P'(-6;\ 0)\\\\\Downarrow S_{y=4}\\\\P''(-6;\ 8)\\\\D[/tex]

[tex]22.\\B\\\\\\24.\\\alpha=360^o:12=30^o\\\\Abbey-Kai\to2\cdot30^o=60^o\\\\Kai-Haifa\to3\cdot30^o=90^o\\\\D[/tex]

[tex]25.\\\alpha=360^o:12=30^o\\\\Lacy+90^o\to(90^o:30^o=3)\to Igor\\\\Igor+30^o\to(30^o:30^o=1)\to Haifa\\\\D[/tex]

[tex]28.\\(x;\ y)\to(x-1;\ y-3)\\\\\vec{a}=[-1;-3]\\\\A(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\\\\B(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\\\\C(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\\\\B[/tex]

[tex]29.\\P(0;\ 0)\\\\\Downarrow S_{x=-3}\\\\P'(-6;\ 0)\\\\\Downarrow S_{y=4}\\\\P''(-6;\ 8)\\\\D[/tex]

 see image

Step-by-step explanation:

Draw line x = 3.  Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.

Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

[tex]Graph the image of rhombus EFGH after a reflection across the line x = 3 G(-1, 10), F(-4, 6), E(-4,[/tex]

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)                

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B)  Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)  

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)                

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B)  Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)  

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]
[tex]22 . the figure is reflected across line m and then reflected across line n. what is the resulting t[/tex]

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)                

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B)  Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)  

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

[tex]22 . The figure is reflected across line m and then reflected across line n. What is the resulting t[/tex]
[tex]22 . The figure is reflected across line m and then reflected across line n. What is the resulting t[/tex]
[tex]22 . The figure is reflected across line m and then reflected across line n. What is the resulting t[/tex]
[tex]22 . The figure is reflected across line m and then reflected across line n. What is the resulting t[/tex]
[tex]22 . The figure is reflected across line m and then reflected across line n. What is the resulting t[/tex]

Question 1: Answer would be A.

Question 2: Answer would be B.

Question 3: I cannot answer this one because an image is not provided. I do not have the image of the original triangle LMN. If you message me with a photo of this question, I will be able to answer.

Question 4: This answer may be wrong, but I believe that it would be A. I don't know how to calculate dilation transformations, but after graphing out all the points, I found that (6,4) would be the correct point because the distance between Point S and (6,4) is even and is able to be divided by two.

Question 5: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 6: Answer would be C.

Question 7: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

Question 2 Explanation: Quadrant IV is on the bottom right, Quadrant I is on the top right. If a triangle were to be rotated from the origin (0,0), it would have to rotate 270 degrees in order to reach Quadrant I.

Question 3 Explanation:

Question 4 Explanation:

Question 5 Explanation:

Question 6 Explanation: Using a rotation calculator, I input the degree of rotation as -90.

Question 7 Explanation:

Question 8 Explanation: Using a rotation calculator, I input the degree of rotation as -180.