Similarity, Right Triangles, and Trigonometry
PrintSimilarity, Right Triangles, and Trigonometry spans four clusters: understanding similarity through dilation and scale factor, proving theorems that rely on similarity, defining trigonometric ratios for acute angles and using them with the Pythagorean Theorem, and applying the Laws of Sines and Cosines to general triangles.
Example Problems
Polygon H is a scaled copy of Polygon F using a scale factor of .
Polygon H's area is what fraction of Polygon F's area?
Polygon H's area is what fraction of Polygon F's area?
A ‑meter ladder's bottom is sliding toward a wall at meters per minute. At a certain instant, the bottom of the ladder is meters from the wall.
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
Find the exact value:

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