K-12 Math Problems

Math Problems 4teaching. solutions, explanations, common errors.

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Math-problems.math4teaching.com news digest

  • 6 years

    Circle inscribed in a quadrant of another circle

    Circle inscribed in a quadrant of another circle
    PROBLEM: A circle is inscribed in a quadrant of a circle whose radius is 10cm. Find the radius of the inscribed circle. Share your solution in the comment section.
    Original by linesronda

  • 6 years

    How to Prove the Central Angle – Inscribed Angle Theorem

    How to Prove the Central Angle – Inscribed Angle Theorem
    When two secants intersect on the circle, it forms an inscribed angle. There are three cases in which the secants may be positioned as shown in the figure below. These positions form different cases for the central angle-inscribed angle relationship...

  • 6 years

    Four equal triangles problem

    Four equal triangles problem
    Challenge yourself with this triangle problem. Squares were constructed on each side of triangle ABC. The free points of the squares were connected forming three more triangles. It is claimed that all the four triangles have equal area. Do they? Show...

  • 9 years

    Squares, Triangles, and Van-Aubel’s Theorem

    Squares, Triangles, and Van-Aubel’s Theorem
    Problem In the figure, H is the midpoint of side BC of ?ABC. The points I and J are the intersection of the diagonals of square ABDE and square ACGF respectively, that is they are the centers of the square. Prove that IH and HJ are congruent and that...

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Updated: May 16, 2023
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Created: March 11, 2011

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