Question

The diagonals of a convex quadrilateral are perpendicular.

A. Always true
B. Always false
C. True only for rectangles
D. True only for squares

Answer 1

The diagonals of a convex quadrilateral being perpendicular is always false, as only certain quadrilaterals, like squares and rectangles, have this property.

Step-by-step explanation:

The diagonals of a convex quadrilateral are perpendicular:

B. Always false

This statement is always false because while squares and rectangles indeed have perpendicular diagonals, not all convex quadrilaterals share this property. For example, in a rhombus, the diagonals are perpendicular, but in a general quadrilateral, there is no such guarantee. Therefore, it's possible for a convex quadrilateral to have diagonals that are not perpendicular.