Solved

Classify the Following Statements as True or False

Question 35

Matching

Classify the following statements as true or false. If an item is false, sketch a counterexample.

Premises:
Any fact that is true for every parallelogram is also true for every square.
The diagonals of a rhombus are congruent.
Every rhombus is a kite.
The opposite angles of a parallelogram are congruent.
Every equilateral triangle is an isosceles triangle.
Any fact that is true for every rectangle is also true for every quadrilateral.
Every rectangle is a square.
The diagonals of a rectangle bisect each other.
Every square is a quadrilateral.
Every trapezoid is a parallelogram.
Responses:
False
True

Correct Answer:

Any fact that is true for every parallelogram is also true for every square.
The diagonals of a rhombus are congruent.
Every rhombus is a kite.
The opposite angles of a parallelogram are congruent.
Every equilateral triangle is an isosceles triangle.
Any fact that is true for every rectangle is also true for every quadrilateral.
Every rectangle is a square.
The diagonals of a rectangle bisect each other.
Every square is a quadrilateral.
Every trapezoid is a parallelogram.
Related Questions

Q30: Why is a result from inductive reasoning

Q31: Put the following terms in the blanks

Q32: Arrange (only) the following terms in a

Q33: Complete the following statements.
A) The measure of

Q34: For each shape, sketch an example if

Q36: A student states that a square cannot

Q37: How many diagonals does each of these

Q38: The sizes of three interior angles of

Q39: An isosceles triangle has two angles that

Q40: If a polygon is equiangular, then it

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents