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Spectrum Math Grade 5 Chapter 9 Lesson 9.5 Understanding Circles Answers Key
The origin of a circle is a point inside the circle that is the same distance from any point on the circle. A circle is named by its origin.
A radius of a circle is a line segment with one endpoint at the circle.
A chord is a line segment with both endpoints on the circle.
A diameter is a chord that passes through the origin of the circle.
Name a radius, chord, and diameter of circle X.
radius: \(\overline{X Z}\), \(\overline{X V}\), or \(\overline{X W}\)
chord: \(\overline{V W}\) or \(\overline{S R}\)
diameter: \(\overline{V W}\)
Identify each line segment as radius, chord, or diameter.
Question 1.
a.
Answer: Diameter
A diameter is a chord that passes through the origin of the circle.
b.
Answer: Chord
A chord is a line segment with both endpoints on the circle.
c.
Answer: Radius
A radius of a circle is a line segment with one endpoint at the circle.
d.
Answer: Chord
A chord is a line segment with both endpoints on the circle.
Use the figure at the right to answer the questions.
Question 2.
Name the circle. ________________
Answer: O
The origin of a circle is a point inside the circle that is the same distance from any point on the circle. A circle is named by its origin.
In the above figure, Name the circle : O
Question 3.
Name the origin. ________________
Answer: O
The origin of a circle is a point inside the circle that is the same distance from any point on the circle.
In the above figure, Name the origin : O
Question 4.
Name a radius. _______________
Answer: \(\overline{OS}\), \(\overline{OT}\) or \(\overline{OR}\)
A radius of a circle is a line segment with one endpoint at the circle.
In the above figure, Name the radius : \(\overline{OS}\), \(\overline{OT}\) or \(\overline{OR}\)
Question 5.
Name a chord. _______________
Answer: \(\overline{MN}\) or \(\overline{RT}\)
A chord is a line segment with both endpoints on the circle.
In the above figure, Name the chord : \(\overline{MN}\) or \(\overline{RT}\)
Question 6.
Name a diameter. _______________
Answer: \(\overline{RT}\)
A diameter is a chord that passes through the origin of the circle.
In the above figure, Name the diameter : \(\overline{RT}\)
Question 7.
Draw circle F, with radius \(\overline{F G}\), diameter \(\overline{H K}\) and chord \(\overline{L M}\).
Answer:
The origin of a circle is a point inside the circle that is the same distance from any point on the circle. A circle is named by its origin.
A radius of a circle is a line segment with one endpoint at the circle.
A chord is a line segment with both endpoints on the circle.
A diameter is a chord that passes through the origin of the circle.
Name of the Circle : F,
Radius : \(\overline{F G}\),
Diameter : \(\overline{H K}\)
and Chord \(\overline{L M}\).