Is the following statement true or false?
Every diameter of a circle is a chord.
Justify your answer using what you know about diameters and chords. Your teacher will review your answer to ensure you receive proper credit.
True.
A diameter is a chord that passes through the center of a circle. Therefore, every diameter is a chord.
The statement is true. Every diameter of a circle is a chord.
To justify this answer, we need to consider the definitions of diameters and chords.
A diameter is a straight line segment passing through the center of the circle and connecting two points on the circumference. It is the longest chord of the circle and divides it into two equal halves.
A chord is a straight line segment joining any two points on the circumference of the circle.
Since a diameter connects two points on the circumference, it also satisfies the definition of a chord. Therefore, every diameter of a circle is a chord.