Similarity Proofs on Coordinate Plane Exercise

Similarity Proofs on Coordinate Plane

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Similarity Proofs on Coordinate Plane

Verify geometric similarity between figures on the coordinate plane using transformations. Show similarity through proportional side lengths and coordinate relationships.

Questions

  1. MultiChoice

    Which similarity criterion states two triangles are similar if two pairs of corresponding angles are congruent?

  2. MultiChoice

    Which formula is used to check if corresponding side lengths of two coordinate triangles are proportional?

  3. MultiChoice

    Which formula helps prove that corresponding line segments of dilated triangles are parallel?

  4. MultiChoice

    Triangle 1 has sides 3, 4, 5. Triangle 2 has sides 6, 8, 10. How are they proved similar?

  5. MultiChoice

    What condition proves SSS similarity for two triangles on the coordinate plane?

  6. MultiChoice

    What condition proves SAS similarity between two triangles?

  7. MultiChoice

    Triangle ABC with vertices (0,0),(4,0),(0,3) and A'B'C' at (0,0),(8,0),(0,6). Are they similar?

  8. MultiChoice

    In similar coordinate triangles formed by dilation, what is true about corresponding non-overlapping sides?

  9. MultiChoice

    If Triangle PQR is mapped to P'Q'R' by dilation, and side PQ = 5 while P'Q' = 10, what is the scale factor?

  10. MultiChoice

    Why do dilated triangles automatically satisfy AA similarity?

  11. MultiChoice

    Triangle ABC is similar to DEF with scale factor 3. If side AC = 4 units, what is side DF?

  12. MultiChoice

    True or False: Any two figures on the coordinate plane related by a single dilation are similar.