Triangle MNO is translated up 5 units and left 2 units. Point N is located at (0, −6). What are the coordinates of N′?(1 point)

Responses

(−2,−1)
left parenthesis negative 2 comma negative 1 right parenthesis

(−2,−11)
left parenthesis negative 2 comma negative 11 right parenthesis

(5,−8)
left parenthesis 5 comma negative 8 right parenthesis

(2,−1)

11 answers

The coordinates of N' would be (0 - 2, -6 + 5) = (-2, -1)

Therefore, the correct answer is (−2,−1).
Question
The shape of a heart is reflected across the x -axis. If the point at the bottom of the heart for the original figure is at (314,712) , what are the coordinates for the point at the bottom of the heart in the reflected image?(1 point)
( )
When a shape is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate is negated.

Therefore, if the original point at the bottom of the heart is (314, 712), the coordinates for the point at the bottom of the heart in the reflected image would be (314, -712).
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. Four points are plotted. The points are connected to form a quadrilateral. Point W is plotted at the coordinates left parenthesis negative 2 comma 1 right parenthesis, Point X is plotted at left parenthesis negative 4 comma negative 3 right parenthesis, point Y is plotted at left parenthesis 5 comma negative 2 right parenthesis, and point Z is plotted at left parenthesis 6 comma 6 right parenthesis. Points W and X, points X and Y, points Y and Z, and points Z and W are connected by line segments to form quadrilateral W X Y Z.

A four-sided figure WXYZ is shown on the coordinate plane. The figure is then reflected across the y -axis. Which point of the figure above will end up in Quadrant I?

(1 point)
Responses

Point Z
Point upper Z

Point X
Point upper X

Point W
Point upper W

Point Y
When a figure is reflected across the y-axis, the x-coordinate is negated, but the y-coordinate remains the same.

In this case, point X is plotted at (-4, -3).

When reflected across the y-axis, the x-coordinate of point X becomes positive, and the coordinates would be (4, -3).

Therefore, the point that will end up in Quadrant I after the reflection is Point X.

The correct answer is Point X.
Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 9 to 9 in one unit increments. The y-axis ranges from negative 11 to 11 in one unit increments. Four points are plotted. A square is graphed using the four plotted points as vertices. Point A is plotted at coordinates left parenthesis 3 comma negative 4 right parenthesis. Point B is plotted at coordinates left parenthesis 7 comma negative 4 right parenthesis. Point C is plotted at coordinates left parenthesis 7 comma negative 8 right parenthesis. Point D is plotted at coordinates left parenthesis 3 comma negative 8 right parenthesis. Points A, B, C, and D are connected by solid lines to form square A B C D.

Reflect square ABCD with respect to the x-axis and the y-axis. What are the vertices of square A′B′C′D′?

(1 point)
Responses

Square A′B′C′D′ has vertices A′(−3,−4), B′(−7,−4), C′(−7,−8), and D′(−3,−8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis negative 3 comma negative 4 right parenthesis , upper B prime left parenthesis negative 7 comma negative 4 right parenthesis , upper C prime left parenthesis negative 7 comma negative 8 right parenthesis , and upper D prime left parenthesis negative 3 comma negative 8 right parenthesis .

Square A′B′C′D′ has vertices A′(3,4), B′(7,4), C′(7,8), and D′(3,8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis 3 comma 4 right parenthesis , upper B prime left parenthesis 7 comma 4 right parenthesis , upper C prime left parenthesis 7 comma 8 right parenthesis , and upper D prime left parenthesis 3 comma 8 right parenthesis .

Square A′B′C′D′ has vertices A′(−3,4), B′(−7,4), and C′(−7,8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis negative 3 comma 4 right parenthesis , upper B prime left parenthesis negative 7 comma 4 right parenthesis , and upper C prime left parenthesis negative 7 comma 8 right parenthesis .

Square A′B′C′D′ has vertices A′(−3,4), B′(−7,4), C′(−7,8), and D′(−3,8).
To reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is negated. To reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is negated.

In this case, the vertices of square ABCD are:
A (3, -4)
B (7, -4)
C (7, -8)
D (3, -8)

To reflect the square across the x-axis, the y-coordinate of each vertex is negated:
A' (3, 4)
B' (7, 4)
C' (7, 8)
D' (3, 8)

To reflect the square across the y-axis, the x-coordinate of each vertex is negated:
A' (-3, 4)
B' (-7, 4)
C' (-7, 8)
D' (-3, 8)

Therefore, the vertices of square A'B'C'D' are:
A' (-3, 4)
B' (-7, 4)
C' (-7, 8)
D' (-3, 8)

The correct answer is: Square A′B′C′D′ has vertices A′(-3,4), B′(-7,4), C′(-7,8), and D′(-3,8).
Use the image to answer the question.
A coordinate plane shows two plotted irregular hexagons in the first and fourth quadrants. The coordinate plane shows both the x-axis and y-axis ranging from negative 7 to 7 in unit increments. The first quadrant shows a solid line irregular hexagon labeled upper S, formed by connecting the following points in the given order: point upper A is left parenthesis 1 comma 1 right parenthesis; point upper B left is parenthesis 6 comma 1 right parenthesis; point upper C is left parenthesis 4 comma 5 right parenthesis; point upper D is left parenthesis 5 comma 6 right parenthesis; point upper E is left parenthesis 2 comma 6 right parenthesis; and point upper F is left parenthesis 3 comma 5 right parenthesis. The hexagon is complete with point upper F connecting with point upper A. The fourth quadrant shows a dotted line irregular hexagon labeled upper T formed by connecting the following points in the given order: point upper A is left parenthesis 2 comma negative 1 right parenthesis; point upper B is left parenthesis 5 comma negative 1 right parenthesis; point upper C is left parenthesis 4 comma negative 2 right parenthesis; point upper D is left parenthesis 6 comma negative 5 right parenthesis; point upper E is left parenthesis 1 comma negative 5 right parenthesis; and point upper F is left parenthesis 3 comma negative 2 right parenthesis. The hexagon is complete with point upper F connecting with point upper A.
Is figure T a reflection of figure S across the x -axis? Choose 1 for yes and 2 for no.(1 point)
No (2)
Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees?(1 point)
Responses

rotation about the origin of 90 degrees counterclockwise
rotation about the origin of 90 degrees counterclockwise

rotation about the origin of 180 degrees counterclockwise
rotation about the origin of 180 degrees counterclockwise

rotation about the origin of 270 degrees clockwise
rotation about the origin of 270 degrees clockwise

rotation about the origin of 270 degrees counterclockwise
The equivalent transformation to a rotation of an object clockwise 90 degrees is a rotation about the origin of 270 degrees counterclockwise.

Therefore, the correct answer is rotation about the origin of 270 degrees counterclockwise.