Mid-Point and Its Converse — Important Questions

DE is parallel to the third side BC, DE equals half the length of BC, The theorem applies to any triangle

The Mid-Point Theorem states that the line joining mid-points of two sides is parallel to the third side and equals half its length. This applies to all triangles.

False

False. The Mid-Point Theorem states that the line segment joining mid-points is parallel to the third side, not perpendicular. It's only perpendicular in special cases like right triangles.

7 cm

Since D is mid-point of AB and DE || BC, by Mid-Point Theorem, E is mid-point of AC and DE = ½BC = ½ × 14 = 7 cm.

Three or more parallel lines, Another transversal intersecting the parallel lines

The Equal Intercept Theorem requires three or more parallel lines, one transversal making equal intercepts, and another transversal which will also make equal intercepts.