Mathematics
Grade9
Easy

Question

If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.

  1. Sum
  2. Product
  3. Difference
  4. None of the above

hintHint:

According to the theorem of Angle between intersecting Secants and Tangents, we can say that "If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the difference of the measures of the intercepted arcs.". Here, we have to fill the blank using this theorem.

The correct answer is: Difference


    If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.
    In the question there is a blank which we have to fill using the given options.
    According to the theorem of Angle between intersecting Secants and Tangents, we can say that
    If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the difference of the measures of the intercepted arcs.
    So, the answer will be difference.
    Therefore, the correct option is c, i.e., difference.

    Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

    Related Questions to study

    Grade9
    Mathematics

    Inscribed angle is half the measure of its _____________.

    Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

    Inscribed angle is half the measure of its _____________.

    MathematicsGrade9

    Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

    Grade9
    Mathematics

    If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

    Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
    Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

    If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

    MathematicsGrade9

    Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
    Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

    Grade9
    Mathematics

    If two lines intersect a circle, there are _____________ where the lines can intersect.

    If two lines intersect a circle, there are _____________ where the lines can intersect.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    What is the values of x + x

    What is the values of x + x

    MathematicsGrade9
    Grade9
    Mathematics

    If one chord is a perpendicular bisector of another chord, Then the first chord __________.

    If one chord is a perpendicular bisector of another chord, Then the first chord __________.

    MathematicsGrade9
    Grade9
    Mathematics

    Arcs are equal if and only their corresponding ______ are equal

    Arcs are equal if and only their corresponding ______ are equal

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    A tangent is always _________ to the radius.

    A tangent is always _________ to the radius.

    MathematicsGrade9
    Grade9
    Mathematics

    The line which intersects the circle at two points called………..

    The line which intersects the circle at two points called………..

    MathematicsGrade9
    Grade9
    Mathematics

    In the same circle, or in congruent circles, two chords are congruent if and only if they are ………….from the center.

    In the same circle, or in congruent circles, two chords are congruent if and only if they are ………….from the center.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    The angle whose vertex is the center of the circle is called………..

    The angle whose vertex is the center of the circle is called………..

    MathematicsGrade9
    Grade9
    Mathematics

    The line segment which has its endpoints on the circle is called ………..

    The line segment which has its endpoints on the circle is called ………..

    MathematicsGrade9
    Grade9
    Mathematics

    The circle passing through the vertices of the triangle is called …………

    The circle passing through the vertices of the triangle is called …………

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    If the inscribed polygon is a right angle, then the side opposite to the right angle is ………

    If the inscribed polygon is a right angle, then the side opposite to the right angle is ………

    MathematicsGrade9
    Grade9
    Mathematics

    If one side of an inscribed triangle is the diameter of the circle, then the triangle is a ………

    If one side of an inscribed triangle is the diameter of the circle, then the triangle is a ………

    MathematicsGrade9
    Grade9
    Mathematics

    A quadrilateral can be inscribed in a circle if and only if its opposite angles are….

    A quadrilateral can be inscribed in a circle if and only if its opposite angles are….

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.