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′ ?(1 point)
Responses
A′(4,1), B′(5,2), and C′(10,1)
upper A prime left parenthesis 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma 2 right parenthesis , and upper C prime left parenthesis 10 comma 1 right parenthesis
A′(−4,1), B′(−5,2), and C′(−10,1) upper A prime left parenthesis negative 4 comma 1 right parenthesis , upper B prime left parenthesis negative 5 comma 2 right parenthesis , and upper C prime left parenthesis negative 10 comma 1 right parenthesis
A′(4,−1), B′(5,−2), and C′(10,−1)
upper A prime left parenthesis 4 comma negative 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis 10 comma negative 1 right parenthesis
A′(−4,1), B′(5,−2), and C′(−10,1) ???
The correct answer is: A′(−4,1), B′(−5,2), and C′(−10,1)
Reflections Across the x- or y- Axis Quick Check
2 of 52 of 5 Items
Question
Use the image to answer the question.
An illustration shows a coordinate plane. The x-axis and the y-axis range from negative 6 to 6 in one unit increments. Eight points are plotted on the plane. Two quadrilaterals are graphed on the plane. Four points are plotted in the first quadrant. Point A is plotted at the coordinates left parenthesis 3 comma 6 right parenthesis, Point B is plotted at left parenthesis 3 comma 2 right parenthesis, point C is plotted at left parenthesis 6 comma 2 right parenthesis, and point D is plotted at left parenthesis 5 comma 6 right parenthesis. Points A and B, points B and C, points C and D, and points D and A are connected by dotted line segments to form quadrilateral A B C D. Four unlabeled points are plotted in the second quadrant at the coordinates left parenthesis negative 2 comma 6 right parenthesis, left parenthesis negative 2 comma 2 right parenthesis, left parenthesis negative 5 comma 2 right parenthesis, and left parenthesis negative 4 comma 6 right parenthesis. The four points are connected by line segments to form a quadrilateral.
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?
(1 point)
Responses
Shift the reflected figure 1 unit to the right.
Shift the reflected figure 1 unit to the right.
Shift the reflected figure 1 unit down.
Shift the reflected figure 1 unit down.
Shift the reflected figure 1 unit to the left.
Shift the reflected figure 1 unit to the left.
Shift the reflected figure 1 unit up.
The correct answer is: Shift the reflected figure 1 unit to the left.
Reflections Across the x- or y- Axis Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis extending from negative 9 to 9 in increments of 1 and the y-axis extending from negative 11 to 11 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma negative 1 right parenthesis, B left parenthesis 6 comma negative 3 right parenthesis, and C left parenthesis 1 comma negative 3 right parenthesis.
Reflect triangle ABC with respect to the x-axis and the y-axis. What are the vertices of triangle A′B′C′?
(1 point)
Responses
The vertices of triangle A′B′C′ are A′(2,1), B′(6,3), and C′(1,3).
The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis 2 comma 1 right parenthesis , upper B prime left parenthesis 6 comma 3 right parenthesis , and upper C prime left parenthesis 1 comma 3 right parenthesis .
The vertices of triangle A′B′C′ are A′(−2,1), B′(−6,3), and C′(−1,3).
The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma 1 right parenthesis , upper B prime left parenthesis negative 6 comma 3 right parenthesis , and upper C prime left parenthesis negative 1 comma 3 right parenthesis .
The vertices of triangle A′B′C′ are A′(−2,1), B′(−1,3), and C′(−6,3).
The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma 1 right parenthesis , upper B prime left parenthesis negative 1 comma 3 right parenthesis , and upper C prime left parenthesis negative 6 comma 3 right parenthesis .
The vertices of triangle A′B′C′ are A′(−2,−1), B′(−6,−3), and C′(−1,−3).
The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma negative 1 right parenthesis , upper B prime left parenthesis negative 6 comma negative 3 right parenthesis , and upper C prime left parenthesis negative 1 comma negative 3 right parenthesis .
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