Classify each statement as true or false.1. Opposite angles of an inscribed quadrilateral must be congruent.2. If a chord in one circle is congruent to a chord in another circle, the arcs of these chords must have congruent central angles.3. A diameter that is perpendicular to a chord must bisect the chord.4. If a line bisects a chord, that line must pass through the center of the circle.5. If GM intersects a circle in just one point, GM must be tangent to thecircle.6. It is possible to draw two circles so that no common tangents can bedrawn.7. An angle inscribed in a semicircle must be a right angle.8. When one chord is farther from the center of a circle than another chord,the chord farther from the center is the longer of the two chords.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Classify each statement as true or false.
1. Opposite angles of an inscribed quadrilateral must be congruent.
2. If a chord in one circle is congruent to a chord in another circle, the arcs of these chords must have congruent central angles.
3. A diameter that is perpendicular to a chord must bisect the chord.
4. If a line bisects a chord, that line must pass through the center of the circle.
5. If GM intersects a circle in just one point, GM must be tangent to the
circle.
6. It is possible to draw two circles so that no common tangents can be
drawn.
7. An angle inscribed in a semicircle must be a right angle.
8. When one chord is farther from the center of a circle than another chord,
the chord farther from the center is the longer of the two chords.

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