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 be congruent to each other.
A parallelogram whose diagonals are congruent is referred to as rectangle. And a square has all the features of a rectangle along with its own specific features. Hence, the diagonals of a square are also congruent.
Now, considering the case of rhombus, it has its diagonals perpendicular to each other, but not congruent.
Thus, the feature is valid for only rectangle and square as marked below.
Property | Parallelogram | Rectangle | Rhombus | Square |
Diags are | ✔ | ✔ |
Chapter 5 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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