Question

1. name the rule that applies to this shape.

Explanation:

The shape appears to be a rhombus (or a parallelogram with all sides equal) as indicated by the tick marks showing equal - length sides. The rule that applies here is the property of a rhombus (or a parallelogram with equal - length sides) where opposite sides are parallel and all sides are equal in length. Also, in a rhombus, the opposite angles are equal. If we consider the markings on the sides (the tick marks), it shows that all four sides are equal, which is a defining property of a rhombus. Another way to look at it is that it's a quadrilateral with all sides congruent, so the rule of a rhombus (or a square - like quadrilateral with equal sides, but since the angles don't seem to be right angles from the diagram, rhombus is more appropriate) applies.

Answer:

The shape is a rhombus (or a quadrilateral with all sides equal). The rule that applies is: In a rhombus (a quadrilateral with all four sides of equal length), opposite sides are parallel, and opposite angles are equal. Also, the diagonals of a rhombus bisect each other at right angles (though this might not be directly visible from the given diagram, the equal - side property is clear from the tick marks).