📚 Topic Summary
In geometry, shapes are considered congruent if they have the same size and shape, even if their orientation or position in space is different. Transformations like rotations (turning), reflections (flipping), and translations (sliding) don't change the size or shape of a figure; they only change its position. Therefore, if one shape can be transformed into another using only these transformations, the shapes are congruent. Identifying congruent shapes after transformations involves mentally or physically performing the transformations and checking if the shapes perfectly overlap.
🧠 Part A: Vocabulary
Match the term with its definition:
- Term: Rotation
- Term: Reflection
- Term: Translation
- Term: Congruent
- Term: Transformation
- Definition: A movement of a figure by sliding it without changing its orientation.
- Definition: Having the same size and shape.
- Definition: An operation that maps a figure onto another figure.
- Definition: A movement of a figure by turning it around a point.
- Definition: A movement of a figure by flipping it over a line.
(Match the numbers 1-5 above to the correct definitions listed as 1-5)
✏️ Part B: Fill in the Blanks
Shapes are considered _________ if they have the same size and _________. A _________ involves turning a shape around a point. A _________ involves flipping a shape over a line. A _________ involves sliding a shape without changing its orientation.
🤔 Part C: Critical Thinking
Imagine you have a triangle. You rotate it 90 degrees clockwise, then reflect it over the x-axis, and finally translate it 5 units to the right. Is the resulting triangle congruent to the original? Explain your reasoning.