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10 questions
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  • Q1

    ∠M and ∠N are inscribed angles that intercept the same arc. If m∠M = 27x and m∠N = 10x + 51 , find x.

    4

    3

    6

    5

    30s
    M10GE-IIc-d-1
  • Q2

    In ⊙ A , what is m∠BDC if m∠BAC = 100o?

    Question Image

    180o

    90o

    100o

    50o

    30s
    M10GE-IIc-d-1
  • Q3

    Find B+C+D+E+F, the angles at the tip of the star

    Question Image

    90o

    60o

    180o

    360o

    30s
    M10GE-IIc-d-1
  • Q4

    Draw the figure to visualize. Quadrilateral ABCD is inscribed in a circle. m∠A = x, m∠B = 2x, and m∠C = x +10. Find x.

    10o

    95o

    170o

    85o

    30s
    M10GE-IIc-d-1
  • Q5

    Draw the figure to visualize. Quadrilateral ABCD is inscribed in a circle. m∠A = x, m∠B = 2x, and m∠C = x +10. Find m∠D.

    170o

    95o

    85o

    10o

    30s
    M10GE-IIc-d-1
  • Q6

    Ben divided the sliced “dalandan” into 5 different parts with different measurements. Given that the sliced parts measure 115o , 50o , 45o , 75o , respectively. What is the measure of the last slice?

    55o

    75o

    65o

    45o

    30s
    M10GE-IIc-d-1
  • Q7

    Which of the following statement is true?

    A diameter bisects a chord and an arc with the same endpoint if and only if it is perpendicular to the chord.

    The degree measure of a minor arc is half the measure of the central angle which intercepts the arc.

    If an inscribed angle intercepts a semicircle, then the angle measures 180o.

    The measure of the inscribed angle is twice the measure of the central angle intercepting the same arc.

    30s
    M10GE-IIc-d-1
  • Q8

    ∠ABC is a central angle in ⊙B intersecting arc AC. If the m∠ABC = 5x - 20 and ̂ measure of arc AC = 4x + 5, what is the degree measure of ∠ABC?

    105o

    155o

    75o

    25o

    30s
    M10GE-IIc-d-1
  • Q9

     Jericho wants to paste a garland 3 inches away from the center of a 10 circle. If the radius of the circle is 5 inches, how long should the garland be?

    4

    in

    8 in

    2 in

    6 in

    30s
    M10GE-IIc-d-1
  • Q10

    Joy recreates her old, rounded wall clock into a picture frame. She placed a picture with dimension 10 x 8 inches on it. Given that the corner of the picture is on the edge of the circle, find the radius of the wall clock.

    3 in

    √101 in

    9 in

    2√41 in

    30s
    M10GE-IIc-d-1

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