Test
Congruence and similarity
This 8th-grade math resource helps students practice identifying and applying transformations such as reflection, translation, and rotation through a sequence of questions. Students analyze the effects of each transformation on figures and distinguish between congruent and similar shapes.
By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New
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Questions
- Which transformation always preserves both the size and the shape of a figure?
- Which of the following transformations will always result in a figure congruent to the original?
- Put these transformations in the order that would map triangle ABC onto triangle A'B'C' if ABC is reflected over the y-axis, then translated 3 units up, then rotated 90° clockwise about the origin.
- Match each transformation to its effect on a figure.
- Fill in the blanks: Two figures are _ if they have the same size and shape, and they are _ if they have the same shape but not necessarily the same size.
- A _ is a transformation that turns a figure about a fixed point, while a _ changes the size of a figure but not its shape.
- Sort the following transformations into 'Rigid Motions' (preserve size and shape) and 'Non-Rigid Motions' (do not preserve size and shape).
- For each statement, indicate whether it is true or false.
- A rectangle has a length of 6 units and a width of 4 units. After a dilation with a scale factor of 1.5, what is the new length?
- What is the term for a transformation that flips a figure over a line?
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