Unit 24 · Ratio and Proportion
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Topics covered
- Recall of ratio, proportion, and similar triangles
- Theorem 24.1 — a line parallel to one side of a triangle divides the other two sides proportionally, with its corollaries
- Theorem 24.2 — the converse: a line intersecting two sides of a triangle in the same ratio is parallel to the third side
- Theorem 24.3 — the internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle
- Theorem 24.4 — if two triangles are similar, their corresponding sides are proportional
- The ratio of the areas of two similar triangles equals the square of the ratio of their corresponding sides
- Applying these theorems to solve numerical and real-life problems involving triangles
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