Question: In a parallelogram, which of the following properties holds true?
Options:
All sides are equal.
Diagonals bisect each other.
All angles are right angles.
Only opposite angles are equal.
Correct Answer: Diagonals bisect each other.
Solution:
In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.
In a parallelogram, which of the following properties holds true?
Practice Questions
Q1
In a parallelogram, which of the following properties holds true?
All sides are equal.
Diagonals bisect each other.
All angles are right angles.
Only opposite angles are equal.
Questions & Step-by-Step Solutions
In a parallelogram, which of the following properties holds true?
Step 1: Understand what a parallelogram is. A parallelogram is a four-sided shape (quadrilateral) where opposite sides are equal in length and parallel.
Step 2: Learn about the diagonals of a parallelogram. A diagonal is a line segment that connects two non-adjacent vertices (corners) of the shape.
Step 3: Know the property of the diagonals in a parallelogram. In a parallelogram, the two diagonals intersect each other at their midpoints.
Step 4: Conclude that this means the diagonals bisect each other. 'Bisect' means to cut into two equal parts.
Step 5: Remember that this property is one of the defining characteristics of parallelograms.
Properties of Parallelograms – In a parallelogram, opposite sides are equal, opposite angles are equal, and the diagonals bisect each other.
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