Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord.

True. Every diameter of a circle is a chord. This is true because every diameter passes through the center of a circle.

NEVER MIND I WILL FIGURE IT OUT MYSELF >:(

thx at least you gave me advice ☺

To determine if the statement "Every diameter of a circle is a chord" is true or false, we need to understand the definitions of diameters and chords in relation to a circle.

A diameter is a line segment that passes through the center of a circle and divides it into two equal halves. In other words, it is the longest chord of a circle.

On the other hand, a chord is a line segment that connects two points on a circle. It does not necessarily have to pass through the center.

Now, let's consider the statement. It claims that every diameter of a circle is a chord.

This statement is true because every diameter of a circle fits the definition of a chord. Since a diameter connects two points on the circle (the endpoints), it is indeed a chord.

Additionally, we know that a diameter also passes through the center of a circle, which is a unique property of diameters. However, this fact is not necessary to determine that a diameter is a chord. It is simply an additional characteristic that diameters possess.

Therefore, based on the definitions of diameters and chords, we can confidently say that every diameter of a circle is a chord.

every line segment joining two points on a circle is a chord.

So, every diameter is a chord.

chords do not have to pass through the center.

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