The ordered pairs (2, –11) and (5, –20) are solutions to which of the following equations?
A. y = 3x – 5
B. y = –3x + 5
C. y = 3x + 5
D. y = –3x – 5
D. y = –3x – 5
Which is a rule that describes the translation of a point from (–5, 4) to (–1, 2)?
A. (x, y) arrow(x – 4, y – 2)
B. (x, y) arrow(x + 4, y – 2)
C. (x, y) arrow(x + 4, y + 2)
D. (x, y) arrow(x – 4, y + 2)
B. (x, y) arrow(x + 4, y – 2)
Δ JKL has vertices J(10, 5), K(2, 8), and L(4, 9). It is translated right 5 units and up 4 units. What are the coordinates of J’, K’, and L’?
A. J' (15, 9), K' (12, 7), L' (9, 13)
B. J' (15, 9), K' (7, 12), L' (9, 13)
C. J' (14, 10), K' (6, 13), L' (10, 12)
D. J' (15, 5), K' (7, 8), L' (9, 9)
A. J' (15, 9), K' (12, 7), L' (9, 13)
A transformation translates the point upper S left-parenthesis negative 1 comma 1 right-parenthesisdown 2 units and right 3 units. What rule describes this translation?
A. left-parenthesis x comma y right-parenthesis right-arrow left-parenthesis x minus 2 comma y plus 3 right-parenthesis
B. left-parenthesis x comma y right-parenthesis right-arrow left-parenthesis x plus 2 comma y minus 3 right-parenthesis
C. left-parenthesis x comma y right-parenthesis right-arrow left-parenthesis x minus 3 comma y plus 2 right-parenthesis
D. left-parenthesis x comma y right-parenthesis right-arrow left-parenthesis x plus 3 comma y minus 2 right-parenthesis
D. (x, y) → (x + 3, y - 2)
The coordinates of two vertices of a right triangle are shown on the grid.
A coordinate graph with x and y axes labeled from negative 5 to 5 is shown. A dot at the point left parenthesis negative 2 comma 5 right parenthesis is labeled A and the left parenthesis point five comma negative 3 right parenthesis is labeled B. A line segment connects the points.
Which could be the coordinates of the right triangle's third vertex?
A. (–2, –3)
B. (–2, 3)
C. (2, 3)
d. (2, -3
A. (–2, –3)
Which graph shows the image of a figure after a rotation of 180° around the origin?
A. graph AThe coordinates of the vertices for the first square are upper A superscript 1 baseline left-parenthesis negative 2 comma 3 right-parenthesis, upper B superscript 1 baseline left-parenthesis negative 3 comma 1 right-parenthesis, upper C superscript 1 baseline left-parenthesis negative 1 comma 0 right-parenthesis, and upper D superscript 1 baseline left-parenthesis 2 comma 0 right-parenthesis. The coordinates of the vertices for the second square are upper A left-parenthesis 2 comma 3 right-parenthesis, upper B left-parenthesis 3 comma 1 right-parenthesis, upper C left-parenthesis 1 comma 0 right-parenthesis, and upper D left-parenthesis 2 comma 0 right-parenthesis.
B. graph BThe coordinates of the vertices for the first square are upper A superscript 1 baseline left-parenthesis negative 2 comma 3 right-parenthesis, upper B superscript 1 baseline left-parenthesis negative 3 comma 1 right-parenthesis, upper C superscript 1 baseline left-parenthesis negative 1 comma 0 right-parenthesis, and upper D superscript 1 baseline left-parenthesis 2 comma 0 right-parenthesis. The coordinates of the vertices for the second square are upper A left-parenthesis negative 2 comma 3 right-parenthesis, upper B left-parenthesis 1 comma negative 1 right-parenthesis, upper C left-parenthesis 1 comma 0 right-parenthesis, and upper D left-parenthesis 0 comma negative 2 right-parenthesis.
C. graph CThe coordinates of the vertices for the first square are upper A superscript 1 baseline left-parenthesis negative 2 comma 3 right-parenthesis, upper B superscript 1 baseline left-parenthesis negative 3 comma 1 right-parenthesis, upper C superscript 1 baseline left-parenthesis negative 1 comma 0 right-parenthesis, and upper D superscript 1 baseline left-parenthesis 2 comma 0 right-parenthesis. The coordinates of the vertices for the second square are upper A left-parenthesis negative 5 comma negative 2 right-parenthesis, upper B left-parenthesis negative 4 comma negative 4 right-parenthesis, upper C left-parenthesis negative 2 comma negative 3 right-parenthesis, and upper D left-parenthesis negative 3 comma negative 1 right-parenthesis.
D. graph DThe coordinates of the vertices for the first square are upper A superscript 1 baseline left-parenthesis negative 2 comma 3 right-parenthesis, upper B superscript 1 baseline left-parenthesis negative 3 comma 1 right-parenthesis, upper C superscript 1 baseline left-parenthesis negative 1 comma 0 right-parenthesis, and upper D superscript 1 baseline left-parenthesis 2 comma 0 right-parenthesis. The coordinates of the vertices for the second square are upper A left-parenthesis negative 2 comma negative 3 right-parenthesis, upper B left-parenthesis 1 comma negative 4 right-parenthesis, upper C left-parenthesis 2 comma negative 1 right-parenthesis, and upper D left-parenthesis negative 1 comma 0 right-parenthesis.