(a)
To draw: With help of compass draw a
(a)
Explanation of Solution
Given information: The chords of a circle are
Sketch: We draw a circle with parallel chords
(b)
To find: The measures of
(b)
Answer to Problem 41PPS
The measures of the angles and arcs are given below.
Explanation of Solution
Given information: The diagram of the circle is taken from part (a).
Calculation: We use a compass to measure the angle and arcs.
The arcs AC and BD are have equal measures, so they are congruent.
(c)
To find: The result obtained when the arcs of circles are cut by two parallel chords.
(c)
Answer to Problem 41PPS
The measures of the angles and arcs are given below.
Explanation of Solution
Given information: The arcs of circle are cut by its two chords.
Calculation: According to the question we repeat the steps of part (a) and (b).
We use a compass to measure the angle and arcs. We get,
The arcs of circle are congruent when they cut by two parallel chords.
(d)
To find: The measures of the arcs and
(d)
Answer to Problem 41PPS
The measures arcs are given below.
Explanation of Solution
Given information: The following figure is been given.
Calculation: Finding
Now, substitute the value of
Chapter 10 Solutions
Geometry, Student Edition
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