Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Join our knowledgeable community and get detailed, reliable answers to all your questions.

1) True or False?

If a quadrilateral is a rhombus and a rectangle, it is also a square.

A. True
B. False

Sagot :

GinnyAnsweridn
To determine whether the statement "If a quadrilateral is a rhombus and a rectangle, it is also a square" is true or false, let's analyze the properties of these shapes step-by-step:

1. Rhombus:
- A rhombus is a type of quadrilateral where all four sides have equal length.
- The angles are not necessarily 90 degrees, but the opposite angles are equal.

2. Rectangle:
- A rectangle is a type of quadrilateral where each of the interior angles is 90 degrees.
- The opposite sides are equal in length.

3. Square:
- A square is a type of quadrilateral that has all the properties of both a rhombus and a rectangle:
- All four sides are equal in length (like a rhombus).
- All four angles are 90 degrees (like a rectangle).

Now, given the definitions:
- If a quadrilateral is a rhombus, all sides are equal.
- If the same quadrilateral is also a rectangle, all angles are 90 degrees.

Since a quadrilateral with all sides equal and all angles equal to 90 degrees fits the definition of a square, we can conclude that:

True: If a quadrilateral is a rhombus and also a rectangle, it must also be a square.

Based on this analysis, the correct answer is:

A. True
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.