💥 Q 73 Prep 3 Geometry Question Bank T1

ABC is a triangle with vertices A \((1,2)\), B \((5,-2)\), and C \((3,4)\). D is the midpoint of \(\overline{AB}\) and \(\overrightarrow{DE}\) ∥ \(\overleftrightarrow{BC}\), intersecting \(\overline{AC}\) at E.

① Find the length of \(\overline{DE}\):

(a) \(\sqrt{5}\)

(b) \(2\sqrt{2}\)

(c) \(\sqrt{10}\)

(d) \(2\sqrt{5}\)

② Find the equation of \(\overleftrightarrow{DE}\) :

(a) \(y = -3x + 8\)

(b) \(y = 3x - 4\)

(c) \(y = -3x + 9\)

(d) \(y = \frac{1}{3}x + \frac{5}{3}\)

The correct answer for ① is (c) \(\sqrt{10}\)

The correct answer for ② is (c) \(y = -3x + 9\)

MR/Nasef.N