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Math 10_Q2: Theorems on tangent, secants and angles

Quiz by Rey Alferez Fernandez

Grade 10
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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15 questions
Show answers
  • Q1

    What is the measure of an exterior angle formed by two intersecting secants?

     

    Equal to the sum of the intercepted arcs

    Equal to  half the difference of the intercepted arcs

    Equal to the half of the sum of the intercepted arcs

    Equal to the difference of the intercepted arcs

    45s
  • Q2

    In the tangent-point-secant theorem, what is the relationship between the radius and the tangent at the point of tangency?

        

    The radius is perpendicular to the tangent.

    The radius and tangent are parallel.

    The tangent is equal in length to the radius.

    The tangent bisects the radius.

    30s
  • Q3

    If a secant and a tangent line intersect on a circle, what is the relationship between the exterior angle and the intercepted arc?

      

    There is no specific relationship between them.

    The exterior angle is half the intercepted arcs.

    The exterior angle is is twice the intercepted arc.

    They are equal

    30s
  • Q4

    What is the tangent-point-secant theorem used for?

        

    Calculating the circumference of a circle

    Finding the area of a circle.

    Determining the length of a tangent line

    Analyzing the relationship between secants and tangents

    30s
  • Q5

    If two secants intersect inside a circle, what can you say about the angles formed?

       

    They are complementary.

    They are congruent.

    They are supplementary.

    Their measures are half the sum of the intercepted arcs.

    30s
  • Q6

    In the tangent-point-secant theorem, what does the term "point of tangency" refer to?

     

    The point where the tangent touches the circle.

    The point where two secants intersect.

    The center of the circle.

    The midpoint of the tangent.

    30s
  • Q7

    What is the purpose of the tangent line in the tangent-point-secant theorem?

     

    To bisect the secant.

    To intersect the secant at a specific point.

     To create an exterior angle with the secant.

    To create a right angle with the secant.

    30s
  • Q8

    If two secants intersect outside a circle, what is the relationship between the exterior angle and the intercepted arc?

    They are equal.

    There is no specific relationship between them.

    The exterior angle is twice the intercepted arc.

    The exterior angle is half the intercepted arc.

    30s
  • Q9

    Which theorem is applied when calculating the measure of an inscribed angle formed by two chords inside a circle?

    Intersecting Secants Theorem

    Tangent-Point-Secant Theorem

    Exterior Angle Theorem

     Inscribed Angle Theorem

    30s
  • Q10

     If a tangent line is drawn to a circle, what can be said about the angle between the tangent and the radius at the point of tangency?

     It is always acute.

     It is always right.

    It can be any type of angle.

    It is always obtuse.

    30s
  • Q11

    What is the measure of an inscribed angle when it intercepts a semicircle?

     

    90 degrees

     45 degrees

    180 degrees

    360 degrees

    30s
  • Q12

    What theorem that states the measure of an angle inscribed in a circle is one-half the measure of the central angle.?

       

    Question Image

    Intersecting Secant Theorem

    Tangent Theorem

    Perpendicular Bisector of a Chord Theorem

    Inscribe Angle Theorem

    30s
  • Q13

    In the given illustration, what is the measure of angle 1, if the measures of the two intercepted arcs are 88 and 42 degrees  respectively?

     

    Question Image

    65 degrees

    42 degrees

    130 degrees

    88 degrees

    30s
  • Q14

    In the figure below, what is the value of x?

    Question Image

    100 0

    60 0

    160 0

    50 0

    30s
  • Q15

    If an inscribed angle in a circle has a measure of 60 degrees, what is the measure of its intercepted arc?

    30 degrees

    60 degrees

    120 degrees

    180 degrees

    30s

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