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Mathematics > Course Model Mathematics II (Integrated Pathway) > Similarity, Right Triangles, and Trigonometry
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Mathematics | Course : Model Mathematics II (Integrated Pathway)

Domain - Similarity, Right Triangles, and Trigonometry

Cluster - Prove theorems involving similarity using a variety of ways of writing proofs, showing validity of underlying reasoning.

[MII.G-SRT.B.4] - Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

Resources:


  • Proof
    A proof of a mathematical statement is a detailed explanation of how that statement follows logically from statements already accepted as true.
  • Pythagorean Theorem
    For any right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

Predecessor Standards:

  • 8.G.B.6.a
    Understand the relationship among the sides of a right triangle.
  • 8.G.B.6.b
    Analyze and justify the Pythagorean Theorem and its converse using pictures, diagrams, narratives, or models.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MII.G-CO.C.10
    Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent, and conversely prove a triangle is isosceles; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
  • MII.G-SRT.A.3
    Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.