Match each graph with its attributes (characteristics).
Understand the Problem
The question asks us to match each graph of a transformed triangle with its attributes/characteristics. This involves understanding the type of transformation (translation, reflection, rotation) applied to the original triangle to obtain the transformed triangle in each graph.
Answer
- Top graph: Translation - Middle graph: Reflection - Bottom graph: Rotation
Answer for screen readers
- The first graph represents a translation.
- The second graph represents a reflection.
- The third graph represents a rotation.
Steps to Solve
- Analyze the first graph (top graph)
Observe how triangle $ABC$ transforms into triangle $A'B'C'$. The orientation of the triangle is preserved, and it appears to be shifted. This indicates a translation.
- Analyze the second graph (middle graph)
Observe how triangle $ABC$ transforms into triangle $A'B'C'$. The orientation of the triangle is different, and it appears to be flipped across the y-axis. This indicates a reflection.
- Analyze the third graph (bottom graph)
Observe how triangle $ABC$ transforms into triangle $A'B'C'$. The orientation of the triangle is different and each point seems to have been rotated $180$ degrees around the origin (0,0). This transformation represents a rotation.
- The first graph represents a translation.
- The second graph represents a reflection.
- The third graph represents a rotation.
More Information
Transformations are operations that alter the position or orientation of geometric figures. The three basic types of transformations mentioned here are:
- Translation: A slide of the figure.
- Reflection: A flip of the figure over a line.
- Rotation: A turn of the figure around a point.
Tips
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