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Proving Theorems with Coordinate Geometry Practice Test
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Q1
Points $$A(0, 0)$$, $$B(a, 0)$$, and $$C(b, c)$$ form a triangle where $$a > 0$$ and $$c ≠ 0$$. The midpoint of $$\overline{AC}$$ is $$M$$ and the midpoint of $$\overline{BC}$$ is $$N$$. Which coordinate geometry theorem is illustrated by proving that $$\overline{MN} \parallel \overline{AB}$$ and $$|MN| = \frac{1}{2}|AB|$$?
Points $$A(0, 0)$$, $$B(a, 0)$$, and $$C(b, c)$$ form a triangle where $$a > 0$$ and $$c ≠ 0$$. The midpoint of $$\overline{AC}$$ is $$M$$ and the midpoint of $$\overline{BC}$$ is $$N$$. Which coordinate geometry theorem is illustrated by proving that $$\overline{MN} \parallel \overline{AB}$$ and $$|MN| = \frac{1}{2}|AB|$$?