To mark: the appropriate features of the given quadrilaterals in the table.
Explanation of Solution
Given Information: A feature of a quadrilateral and four types of quadrilaterals.
The four basic quadrilaterals are considered here which are Parallelogram, Rectangle, Rhombus and Square. The given feature is that, a diagonal of the quadrilateral are congruent to each other.
A parallelogram is a quadrilateral in which, the diagonals divide themselves into two equal segments about their point of intersection and in many cases, and the diagonals need not perpendicular to each other.
A parallelogram whose diagonals are perpendicular to each other is referred to as a rhombus. And a square shows the features of a rhombus as well with its own specific features. Hence, the diagonals of a square are perpendicular.
Now, considering the case of rectangle, it has its diagonals congruent, but not perpendicular to each other.
Thus, the feature is valid for only rhombus and square as marked below.
Property | Parallelogram | Rectangle | Rhombus | Square |
7. Diag are | ✔ | ✔ |
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