MA19.8.24
Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them.
Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them.
Unpacked Content
UP:MA19.8.24
Vocabulary
- Translation
- Reflection
- Rotation
- Dilation
- Scale factor
Knowledge
- How to perform rigid transformations and dilations graphically and algebraically (applying coordinate rules).
- What makes figures similar and congruent.
Skills
- Use mathematical language to explain how transformations can be used to prove that two figures are similar or congruent.
- Demonstrate/perform a series of transformations to prove or disprove that two figures are similar or congruent.
Understanding
- There is a proportional relationship between corresponding characteristics of the figures, such as lengths of line segments, and angle measures as they develop a definition for similarity between figures.
- The coordinate plane can be used as tool because it gives a visual image of the relationship between the two figures.