Graph the image of points a and b after a reflection, №14727611, 15.07.2021 16:17

Mathematics

Instructions: Given the preimage reflect over the x-axis then they axis. Find the new coordinates. 10 8 6 1012 А -12 -10 8 6 4-2 -2 B -4 D -6 С -12 The coordinates of the preimage are: A(-8, -2) B(-4, -3) C(-2,-8) D(-10, -6) Now let s find the coordinates after the reflection over the x-axis. A (-8, B (-4, C (-2, D (-10,

Step-by-step answer

P Answered by PhD

6

The coordinates are;

For reflection over the x-axis

A'(-8, 2)

B'(-4, 3)

C'(-2, 8)

D'(-10, 6)

For reflection over the y-axis;

A''(8, 2)

B''(4, 3)

C''(2, 8)

D''(10, 6)

Step-by-step explanation:

When a point (x, y) is reflected over the x, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (x, -y)

Therefore, for the points A, B, C, D we have;

Pre-image A(-8, -2), Image A'(-8, 2)

Pre-image B(-4, -3), Image B'(-4, 3)

Pre-image C(-2, -8), Image C'(-2, 8)

Pre-image D(-10, -6), Image D'(-10, 6)

When a point (x, y) is reflected over the y, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (-x, y)

Therefore, for the points A', B', C', D' we have;

Pre-image A'(-8, 2), Image A''(8, 2)

Pre-image B'(-4, 3), Image B''(4, 3)

Pre-image C'(-2, 8), Image C''(2, 8)

Pre-image D'(-10, 6), Image D''(10, 6).

Mathematics

Instructions: Given the preimage reflect over the x-axis then they axis. Find the new coordinates. 10 8 6 1012 А -12 -10 8 6 4-2 -2 B -4 D -6 С -12 The coordinates of the preimage are: A(-8, -2) B(-4, -3) C(-2,-8) D(-10, -6) Now let s find the coordinates after the reflection over the x-axis. A (-8, B (-4, C (-2, D (-10,

Step-by-step answer

P Answered by PhD

6

The coordinates are;

For reflection over the x-axis

A'(-8, 2)

B'(-4, 3)

C'(-2, 8)

D'(-10, 6)

For reflection over the y-axis;

A''(8, 2)

B''(4, 3)

C''(2, 8)

D''(10, 6)

Step-by-step explanation:

When a point (x, y) is reflected over the x, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (x, -y)

Therefore, for the points A, B, C, D we have;

Pre-image A(-8, -2), Image A'(-8, 2)

Pre-image B(-4, -3), Image B'(-4, 3)

Pre-image C(-2, -8), Image C'(-2, 8)

Pre-image D(-10, -6), Image D'(-10, 6)

When a point (x, y) is reflected over the y, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (-x, y)

Therefore, for the points A', B', C', D' we have;

Pre-image A'(-8, 2), Image A''(8, 2)

Pre-image B'(-4, 3), Image B''(4, 3)

Pre-image C'(-2, 8), Image C''(2, 8)

Pre-image D'(-10, 6), Image D''(10, 6).

Mathematics

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type RightArrow. For example: P(0, 0) RightArrow P′(1, 2). Triangle ABC has coordinates A (1,4);B(3,−2); and C(4,2). Find the coordinates of the image A B C after a reflection over the x-axis.

Step-by-step answer

P Answered by PhD

20

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

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

Now, using this rule, we get

$A(1,4)\to A'(1,-4)$

$B(3,-2)\to B'(3,2)$

$C(4,2)\to C'(4,-2)$

Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

Mathematics

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type RightArrow. For example: P(0, 0) RightArrow P′(1, 2). Triangle ABC has coordinates A ( 1 , 4 ) ; B ( 3 , − 2 ) ; and C ( 4 , 2 ) . A ( 1 , 4 ) ; B ( 3 , - 2 ) ; and C ( 4 , 2 ) . Find the coordinates of the image A B C A B C after a reflection over the x-axis.

Step-by-step answer

P Answered by PhD

3

A'(1, -4)B'(3, 2)C'(4. -2)

Step-by-step explanation:

Given

Triangle ABC with coordinates

A(1, 4), B(3, -2), C(4, 2)To findCoordinates of the image A'B'C' after a reflection over the x-axisSolution

Rule for reflection over x-axis is

R(x) = (x, y) → (x, -y)

The coordinates will change as follows

A(1, 4) → A'(1, -4)B(3, -2) → B'(3, 2)C(4, 2) → C'(4. -2)

Mathematics

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type RightArrow. For example: P(0, 0) RightArrow P′(1, 2). Triangle ABC has coordinates A (1,4);B(3,−2); and C(4,2). Find the coordinates of the image A B C after a reflection over the x-axis.

Step-by-step answer

P Answered by PhD

20

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

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

Now, using this rule, we get

$A(1,4)\to A'(1,-4)$

$B(3,-2)\to B'(3,2)$

$C(4,2)\to C'(4,-2)$

Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

Mathematics

Pllleaaasssee : 1) write a translation rule that maps point d(7, –3) onto point d (2, 5). 2) triangle abc has coordinates a(1, 4); b(3, –2); and c(4, 2). find the coordinates of the image a b c after a reflection over the x-axis. any would be appreciated. i have a hard time with this stuff. : -)

Step-by-step answer

P Answered by Specialist

11

Okay, well first look at the graph of the point "D". A translation from (7, -3) to (2, 5) is a movement of 8 units up, and 5 units left. So the conversion factor is (8, -5).

Now, I understand the points of the triangle are at (1, 4) (3, -2) and (4, 0). To reflect across the x-axis, to do this, merely flip the signs of the y-values of the coordinates.

A(1, 4) = A'(1, -4)
B(3, -2) = B' (3, 2)
C(4, 0) = C'(4, 0)

And that's all folks!

Mathematics

Triangle ABC is labeled with points A(5, 2), B(1, 2) and C(3, 6) on a coordinate plane. Find the coordinates of A B C after a reflection over the x-axis.

Step-by-step answer

P Answered by PhD

After reflection over the x-axis, we have the coordinates as follows;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

Step-by-step explanation:

Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis

By reflecting over the x-axis, the y-coordinate is bound to change in sign

So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)

We simply go on to negate the value of the y-coordinate

Mathematically if we apply these to the given points, what we get are the following;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

Mathematics

HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis. A’ B’ C’

Step-by-step answer

P Answered by PhD

1

Answers:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as $(x,y) \to (x,-y)$

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)Point B = (0, 3) becomes B ' = (0, -3)Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and

Mathematics

Pllleaaasssee : 1) write a translation rule that maps point d(7, –3) onto point d (2, 5). 2) triangle abc has coordinates a(1, 4); b(3, –2); and c(4, 2). find the coordinates of the image a b c after a reflection over the x-axis. any would be appreciated. i have a hard time with this stuff. : -)

Step-by-step answer

P Answered by Specialist

11

Okay, well first look at the graph of the point "D". A translation from (7, -3) to (2, 5) is a movement of 8 units up, and 5 units left. So the conversion factor is (8, -5).

Now, I understand the points of the triangle are at (1, 4) (3, -2) and (4, 0). To reflect across the x-axis, to do this, merely flip the signs of the y-values of the coordinates.

A(1, 4) = A'(1, -4)
B(3, -2) = B' (3, 2)
C(4, 0) = C'(4, 0)

And that's all folks!

Mathematics

Triangle abc has coordinates a(1, 4); b(3, -2); and c(4, 2). find the coordinates of the image a b c after a reflection over the x-axis.

Step-by-step answer

P Answered by PhD

21

Co ordinate of A' = (1, -4)

Co ordinate of B' = (3, 2)

Co ordinate of C' = (4, -2)

Explanation:

The figure of the triangle is shown below.

If we are finding image of the triangle about X-axis all the x -co-ordinates will remain same, but y co-ordinate will change it's sign.

So, co ordinate of A' = (1, -4)