SME
Grade 8 Math · Problem type
Congruent, similar or neither?
Use this for “Which figures are congruent to the first? Which are only similar?”
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Congruent, similar or neither?
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Assumptions
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Congruent: a slide, flip or turn takes one onto the other exactly.
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Similar: the same shape at another size; a dilation is needed too.
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If the side lengths are not all in the same ratio, they are neither.
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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.”
Which move?
Use this for “Is it a flip, a slide or a turn?”