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Plane Geometry Exam Test 5: Sections 2.34-3.8 - General Questions and Answers, Exams of Mathematics

A series of true/false questions and multiple-choice questions related to plane geometry concepts, covering sections 2.34 to 3.8. It provides answers and explanations for each question, offering a valuable resource for students preparing for exams or reviewing key concepts. Topics such as chords, arcs, tangents, and central angles, providing a comprehensive overview of these fundamental geometric principles.

Typology: Exams

2024/2025

Available from 01/27/2025

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A Beka Plane Geometry Exam Test 5
Sections 2.34-3.8 General Questions
and Answers.
1. true - Answer: ✅ Question: ?True/False: A diameter that bisects a
shorter chord of the same circle is also perpendicular to that chord.
2. false - Answer: ✅ Question: ?True/False: In a circle, the longer of
two chords is farther from the center.
3. true - Answer: ✅ Question: ?True/False: Perpendicular to a
tangent at the point of tangency will pass through the center of a
circle.
4. false - Answer: ✅ Question: ?True/False: The greater of two minor
arcs in a circle will subtend the lesser of two chords.
5. true - Answer: ✅ Question: ?True/False: A diameter of a circle is
the longest possible chord in a circle.
6. false - Answer: ✅ Question: ?True/False: A polygon, all of whose
vertices lie on a circle, is circumscribed about the circle.
7. sometimes - Answer: ✅ Question: ?A line passing through the
midpoint of a chord _______ (sometimes, always, never) passes
through the center of the circle.
8. sometimes - Answer: ✅ Question: ?If two arcs of a circle are
equal, the chords that they subtend are ________ (sometimes,
always, never) parallel.
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A Beka Plane Geometry Exam Test 5

Sections 2.34-3.8 General Questions

and Answers.

  1. true - Answer: ✅ Question: ?True/False: A diameter that bisects a shorter chord of the same circle is also perpendicular to that chord.
  2. false - Answer: ✅ Question: ?True/False: In a circle, the longer of two chords is farther from the center.
  3. true - Answer: ✅ Question: ?True/False: Perpendicular to a tangent at the point of tangency will pass through the center of a circle.
  4. false - Answer: ✅ Question: ?True/False: The greater of two minor arcs in a circle will subtend the lesser of two chords.
  5. true - Answer: ✅ Question: ?True/False: A diameter of a circle is the longest possible chord in a circle.
  6. false - Answer: ✅ Question: ?True/False: A polygon, all of whose vertices lie on a circle, is circumscribed about the circle.
  7. sometimes - Answer: ✅ Question: ?A line passing through the midpoint of a chord _______ (sometimes, always, never) passes through the center of the circle.
  8. sometimes - Answer: ✅ Question: ?If two arcs of a circle are equal, the chords that they subtend are ________ (sometimes, always, never) parallel.
  1. sometimes - Answer: ✅ Question: ?Arcs whose endpoints have been made to coincide are _______ (sometimes, always, never) equal.
  2. always - Answer: ✅ Question: ?Circles that have equal radii are _______ (sometimes, always, never) congruent circles.
  3. never - Answer: ✅ Question: ?The greater of two chords in congruent circles _______ (sometimes, always, never) subtends the lesser minor arc.
  4. always - Answer: ✅ Question: ?A quadrilateral whose opposite angles are equal is ______ (sometimes, always, never) a parallelogram.
  5. congruent arcs - Answer: ✅ Question: ?Arcs that can be made to coincide throughout in the same or congruent circles
  6. minor arc - Answer: ✅ Question: ?An arc less than a semicircle
  7. major arc - Answer: ✅ Question: ?An arc greater than a semicircle
  8. central angle - Answer: ✅ Question: ?An angle formed by two radii
  9. equal - Answer: ✅ Question: ?a) If in the same circle or in congruent circles two central angles are _______, then the arcs which they intercept are equal.
  1. perpendicular - Answer: ✅ Question: ?A diameter that bisects a chord (not a diameter) is ______________ to the chord. (Corollary 35-1)
  2. center - Answer: ✅ Question: ?The perpendicular bisector of a chord passes through the ________ of the circle. (Corollary 35- 2
  3. bisects - Answer: ✅ Question: ?The perpendicular drawn to any chord from the center __________ the chord and the arcs subtended by it. (Corollary 35-3)
  4. equal - Answer: ✅ Question: ?a) If in the same circle or in congruent circles two chords are ______, then they are equally distant from the center.
  5. b) If in the same circle or in congruent circles two chords are eqally distant from the center, then they are ______. (Theorem 36)
  6. nearer - Answer: ✅ Question: ?If in the same circle or in congruent circles two chords are unequal, then the greater chord is ________ the center. (Theorem 37)
  7. greater - Answer: ✅ Question: ?If in the same circle or in congruent circles two chords are unequally distant from the center, then the chord nearer the center is the _________ chord. (Theorem 38)
  8. inscribed - Answer: ✅ Question: ?A polygon is ___________ in a circle when all its vertices lie on the circle.
  9. tangent - Answer: ✅ Question: ?A straight line which, however far it may be extended, has one and only one point in common with the circle
  1. point of tangency (or point of contact) - Answer: ✅ Question:

?The point on the circle where the tangent comes in contact with the circle

  1. perpendicular - Answer: ✅ Question: ?A tangent to a circle is ________________ to the radius or diameter at the point of tangency. (Theorem 39)
  2. perpendicular - Answer: ✅ Question: ?A straight line _______________ to a radius or diameter at its end point on the circle is a tangent to the circle. (Corollary 39-1)
  3. center - Answer: ✅ Question: ?A perpendicular to a tangent at the point of tangency passes through the _______ of the circle. (Corollary 39-2)
  4. passes - Answer: ✅ Question: ?The perpendicular drawn from the center of circle to a tangent ________ through the point of tangency. (Corollary 39-3)
  5. two - Answer: ✅ Question: ?A straight line can cut a circle in at most ______ point(s).
  6. parallel - Answer: ✅ Question: ?Tangents drawn to a circle at the ends of a diameter are _____ to each other.
  7. centers (or diameters) - Answer: ✅ Question: ?Congruent circles coincide when their ______ are made to coincide.