Triangle ABC is reflected across the x -axis. If the coordinates of the original shape are A(−4,−1) , B(−5,−2) , and C(−10,−1) , what are the coordinates of A′ , B′ , and C′ ?
A′(4,1), B′(5,2), and C′(10,1)
A′(4,−1), B′(5,−2), and C′(10,−1)
A′(−4,1), B′(5,−2), and C′(−10,1)
A′(−4,1), B′(−5,2), and C′(−10,1)
To reflect a shape across the x-axis, we keep the x-coordinates the same and change the sign of the y-coordinates. Hence:
The coordinates of A' are (-4, 1)
The coordinates of B' are (-5, 2)
The coordinates of C' are (-10, 1)
Therefore, the answer is A′(−4,1), B′(−5,2), and C′(−10,1).
what is the answer
Apologies for the confusion in my previous response. The correct answer is:
A′(−4, 1), B′(−5, 2), and C′(−10, 1)
Your friend produced a reflection over the y -axis that looks like this figure. You notice a problem with the reflection. How would you suggest correcting the reflection?
Shift the reflected figure 1 unit to the left.
Shift the reflected figure 1 unit to the right.
Shift the reflected figure 1 unit up.
Shift the reflected figure 1 unit down.
To correct the reflection over the y-axis, the reflected figure needs to be shifted 1 unit to the right.
Therefore, the correct option is "Shift the reflected figure 1 unit to the right."
Reflect triangle ABC with respect to the x -axis and the y -axis. What are the vertices of triangle A′B′C′ ?
The vertices of triangle A′B′C′ are A′(−2,−1), B′(−6,−3), and C′(−1,−3).
The vertices of triangle A′B′C′ are A′(−2,1), B′(−1,3), and C′(−6,3).
The vertices of triangle A′B′C′ are A′(−2,1), B′(−6,3), and C′(−1,3).
The vertices of triangle A′B′C′ are A′(2,1), B′(6,3), and C′(1,3).
To reflect a shape across the x-axis, we keep the x-coordinates the same and change the sign of the y-coordinates. To reflect a shape across the y-axis, we keep the y-coordinates the same and change the sign of the x-coordinates.
Given the coordinates of triangle ABC: A(-2, -1), B(-6, -3), and C(-1, -3), we can find the coordinates after reflecting it across the x-axis and y-axis:
For reflection across the x-axis, the y-coordinates will be negative:
A'(-2, 1), B'(-6, 3), and C'(-1, 3)
For reflection across the y-axis, the x-coordinates will be negative:
A'(2, -1), B'(6, -3), and C'(1, -3)
Therefore, the correct vertices of triangle A' B' C' after reflecting across the x-axis and y-axis are A'(−2, 1), B'(−6, 3), and C'(−1, 3).
Which one of these properties will never change when a figure is reflected across a line of reflection?(1
size
the y-coordinates
the x -coordinates
position