1) This statement is true because the definition of a rhombus is all of its opposite sides are parallel to each other. A square fits that criteria but to be considered a square is for all four corners to be at a 90 degree angle, which cannot be guaranteed in a rhombus.
3) This figure is a trapezium. A trapezium has one set of opposite lines parallel to each other, a pair of lines not parallel to each other and has a pair of opposite angles that are supplementary.
4) Not all parallelograms are squares. But all squares are parallelograms. Squares have four sides where two opposite sides are parallel to each other. But parallelograms do not always have four equal sides.
Interesting point you made abt q1. Since a square cannot be guaranteed a rhombus does this mean there will be cases for a square to be a rhombus? Or are there cases where a rhombus fits the properties if a square ?
ReplyDelete