Cartesian Transform Quiz

Froggy Jumps

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About this activity

Transformations on a plane

Created by

Emijay Depillo

Philippines

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Froggy Jumps Cartesian Transform QuizOnline version Transformations on a plane by Emijay Depillo 1 Which coordinates result from translating a point (x,y) by (a,b)? a (x−a, y−b) b (x+a, y-b) c (x+a, y+b) 2 What is the rule for reflection of (x,y) across the x-axis? a (-x, y) b (x, -y) c (-x, -y) 3 Reflection across the y-axis transforms (x,y) into what? a (x, -y) b (-x, y) c (-x, -y) 4 Reflection across the line y = x maps (x,y) to which pair? a (y, x) b (-y, -x) c (-x, y) 5 Rotation about the origin by 90 degrees counterclockwise sends (x,y) to which? a (y, -x) b (x, y) c (-y, x) 6 Rotation by 180 degrees about the origin gives which image? a (-x, -y) b (x, -y) c (-x, y) 7 Rotation by 270 degrees counterclockwise is equivalent to which? a (-y, x) b (y, -x) c (-x, -y) 8 To translate a point (2,3) by (−4,5) where does it go? a (-6, -2) b (6, -2) c (-2, 8) 9 Which transformation keeps distance and angle with the origin fixed? a Rotation b Translation c Reflection 10 Which transformation can be described as sliding a figure without rotating or flipping? a Rotation b Translation c Reflection

Froggy Jumps

Cartesian Transform QuizOnline version

Transformations on a plane

by Emijay Depillo

Which coordinates result from translating a point (x,y) by (a,b)?

(x−a, y−b)

(x+a, y-b)

(x+a, y+b)

What is the rule for reflection of (x,y) across the x-axis?

(-x, y)

(x, -y)

(-x, -y)

Reflection across the y-axis transforms (x,y) into what?

(x, -y)

(-x, y)

(-x, -y)

Reflection across the line y = x maps (x,y) to which pair?

(y, x)

(-y, -x)

(-x, y)

Rotation about the origin by 90 degrees counterclockwise sends (x,y) to which?

(y, -x)

(x, y)

(-y, x)

Rotation by 180 degrees about the origin gives which image?

(-x, -y)

(x, -y)

(-x, y)

Rotation by 270 degrees counterclockwise is equivalent to which?

(-y, x)

(y, -x)

(-x, -y)

To translate a point (2,3) by (−4,5) where does it go?

(-6, -2)

(6, -2)

(-2, 8)

Which transformation keeps distance and angle with the origin fixed?

Rotation

Translation

Reflection

Which transformation can be described as sliding a figure without rotating or flipping?

Rotation

Translation

Reflection

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Cartesian Transform Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Cartesian Transform QuizOnline version

by Emijay Depillo

Which coordinates result from translating a point (x,y) by (a,b)?

What is the rule for reflection of (x,y) across the x-axis?

Reflection across the y-axis transforms (x,y) into what?

Reflection across the line y = x maps (x,y) to which pair?

Rotation about the origin by 90 degrees counterclockwise sends (x,y) to which?

Rotation by 180 degrees about the origin gives which image?

Rotation by 270 degrees counterclockwise is equivalent to which?

To translate a point (2,3) by (−4,5) where does it go?

Which transformation keeps distance and angle with the origin fixed?

Which transformation can be described as sliding a figure without rotating or flipping?

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