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Grade 8 Math · Problem type
Which move?
Use this for “Is it a flip, a slide or a turn?”
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Which move takes the figure to its image?
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Assumptions
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A translation slides; a reflection flips over a line; a rotation turns about a point.
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Those three keep size and shape. A dilation changes the size, not the shape.
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A mirror image faces the other way; a turned image does not.
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Related lessons
Translations, rotations, reflections and dilations
Main lesson
Reflection
Use this for “(3, 7) is reflected over the y-axis. Where is its image?”
Reflection over a horizontal line
Use this for “(3, 7) is reflected over the x-axis. Where is its image?”
Rotation about the origin
Use this for “Rotate (3, 1) by 90° counterclockwise about (0, 0).”
Dilation
Use this for “Dilate (1, 1) from the origin by a scale factor of 3.”
Similar triangles
Use this for “Two triangles are similar. One has sides 8, 12 and x; the matching sides of the other are 6, y and 12. Find x and y.”
Congruent, similar or neither?
Use this for “Which figures are congruent to the first? Which are only similar?”