Rigid transformations are movements that preserve size and shape. The main rigid transformations are translations, rotations, and reflections. If one figure can be transformed into another using only these transformations, then the two figures are congruent. Congruence proofs use rigid transformations to demonstrate that two figures are the same. Basically, we show that all corresponding sides and angles are equal by applying transformations.
This quiz will test your knowledge of the vocabulary and concepts behind rigid transformation congruence proofs. Good luck!
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Translation | A. A transformation that flips a figure over a line. |
| 2. Rotation | B. A transformation that slides a figure without changing its orientation. |
| 3. Reflection | C. Figures that have the same size and shape. |
| 4. Congruent | D. A transformation that turns a figure around a point. |
| 5. Rigid Transformation | E. A transformation that preserves size and shape. |
Instructions: Write the letter of the definition next to the corresponding number. Example: 1. B
Complete the paragraph below using the following words: congruence, distance, orientation, reflection, rotation, translation.
A rigid transformation preserves both __________ and __________. The three main types of rigid transformations are __________, __________, and __________. If a __________ exists between two figures, then they are congruent.
Explain how you can use a series of rigid transformations to prove that two triangles are congruent. What specific information about the triangles do you need to know to begin your proof?
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