Rotations — Quiz Answers

10 verified answers
1
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Which shows the image of triangle RST after the rotation open paren x comma y close paren rightarrow open paren y comma negative x close paren ?

A
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (2 comma 1), S prime (negative 1 comma 3), T prime (1 comma 7).
B
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (1 comma 2), S prime (3 comma negative 1), T prime (7 comma 1).
C
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (1 comma negative 2), S prime (3 comma 1) and T prime (7 comma negative 1).
D
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (negative 1 comma negative 2), S prime (negative 3 comma 1), T prime (negative 7 comma negative 1).
2
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A triangle is rotated 90 degrees about the origin. Which rule describes the transformation?

A
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
B
open paren x comma y close paren rightarrow open paren negative y comma x close paren
C
open paren x comma y close paren rightarrow open paren y comma negative x close paren
D
open paren x comma y close paren rightarrow open paren negative y comma negative x close paren
4

One vertex of a polygon is located at (3,−2) After a rotation, the vertex is located at open paren 2 comma 3 close paren Which transformations could have taken place? Choose two correct answers.

A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 180 degrees
C
cap r sub 0 comma negative 90 degrees
D
cap r sub 0 comma negative 270 degrees
E
cap r sub 0 comma 90 degrees
5

A triangle has vertices at cap l times open paren 2 comma 2 close paren , cap m times open paren 4 comma 4 close paren , and cap n times open paren 1 comma 6 close paren The triangle is transformed according to the rule cap r sub 0 comma 180 degrees Which statements are true regarding the transformation? Choose three correct answers.

A
The coordinates of cap l prime are open paren negative 2 comma negative 2 close paren .
B
The coordinates of cap n prime are open paren 6 comma negative 1 close paren .
C
The rule for the transformation is open paren x comma y close paren rightarrow open paren negative x comma negative y close paren .
D
The coordinates of cap m prime are open paren negative 4 comma 4 close paren .
E
The coordinates of cap n prime are open paren negative 1 comma negative 6 close paren .
9

A pentagon is transformed according to the rule cap r sub 0 comma 180 degrees Which is another way to state the transformation?

A
open paren x comma y close paren rightarrow open paren negative x comma y close paren
B
open paren x comma y close paren rightarrow open paren x comma negative y close paren
C
open paren x comma y close paren rightarrow open paren negative y comma negative x close paren
D
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
10

One vertex of a triangle is located at open paren 0 comma 5 close paren on a coordinate grid. After a transformation, the vertex is located at (5,0) Which transformations could have taken place? Choose two correct answers.

A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma negative 180 degrees
D
cap r sub 0 comma negative 90 degrees
E
cap r sub 0 comma 180 degrees

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