Math Gr 8 Ch 10: Investigating Properties of Geometric Figures
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Questions and Answers

What is the sum of the interior angles of a triangle?

  • 240°
  • 180° (correct)
  • 360°
  • 150°

    • What is the definition of a scalene triangle?

  • A triangle with three equal sides
  • A triangle with two equal sides
  • A triangle with two right angles
  • A triangle with all sides of different lengths (correct)

    • What is the characteristic of a parallelogram?

  • All sides are equal
  • All diagonals are equal
  • Opposite sides are equal and parallel (correct)
  • All angles are equal

    • What is the sum of the interior angles of a quadrilateral?

    <p>360°</p> Signup and view all the answers

    What is the definition of a cyclic quadrilateral?

    <p>A quadrilateral inscribed in a circle</p> Signup and view all the answers

    What is the characteristic of a rhombus?

    <p>All sides are equal</p> Signup and view all the answers

    What is the relationship between the central angle and the angle subtended at the circumference of a circle?

    <p>The central angle is twice the angle subtended at the circumference</p> Signup and view all the answers

    What is the definition of a sector of a circle?

    <p>A region bounded by a circle and a chord</p> Signup and view all the answers

    What is the key characteristic that distinguishes a rectangle from a square?

    <p>Opposite sides are equal</p> Signup and view all the answers

    Which of the following criteria is used to identify congruent triangles?

    <p>SSS, SAS, ASA, and AA</p> Signup and view all the answers

    What is the relationship between the diagonals of a parallelogram?

    <p>They are equal and bisect each other</p> Signup and view all the answers

    What is the characteristic of a kite-shaped quadrilateral?

    <p>Two pairs of adjacent sides are equal</p> Signup and view all the answers

    What is the name of the angle formed by a tangent and a radius of a circle?

    <p>Right angle</p> Signup and view all the answers

    What is the sum of the opposite angles of a cyclic quadrilateral?

    <p>180°</p> Signup and view all the answers

    What is the characteristic of an isosceles triangle?

    <p>Two sides are equal</p> Signup and view all the answers

    What is the name of the line segment that connects two points on the circumference of a circle?

    <p>Chord</p> Signup and view all the answers

    What is the primary purpose of investigating the properties of geometric figures?

    <p>To understand how different shapes interact and relate to each other within a geometric framework.</p> Signup and view all the answers

    Which type of triangle has two sides of equal length and two angles of equal measure?

    <p>Isosceles triangle</p> Signup and view all the answers

    What is the key characteristic of a quadrilateral inscribed in a circle?

    <p>Opposite angles sum to 180°.</p> Signup and view all the answers

    What is the relationship between the central angle and the angle subtended at the circumference of a circle?

    <p>The central angle is twice the angle subtended at the circumference.</p> Signup and view all the answers

    What is the characteristic of a parallelogram that distinguishes it from a rectangle?

    <p>Opposite sides are equal and parallel.</p> Signup and view all the answers

    What is the key characteristic of an isosceles triangle?

    <p>Two sides are equal.</p> Signup and view all the answers

    What is the characteristic of a rhombus that distinguishes it from a square?

    <p>All sides are equal and all angles are 90°.</p> Signup and view all the answers

    What is the characteristic of a kite-shaped quadrilateral?

    <p>One pair of opposite sides are parallel.</p> Signup and view all the answers

    If a triangle has two sides of equal length, what can be concluded about its angles?

    <p>Two angles are equal</p> Signup and view all the answers

    Which of the following quadrilaterals has opposite sides equal and parallel, but diagonals that are not equal?

    <p>Parallelogram</p> Signup and view all the answers

    What is the relationship between the central angle and the angle subtended at the midpoint of the arc of a circle?

    <p>The central angle is twice the angle subtended at the midpoint of the arc</p> Signup and view all the answers

    If a circle is inscribed in a quadrilateral, what can be concluded about the opposite angles of the quadrilateral?

    <p>They sum to 180°</p> Signup and view all the answers

    What is the key characteristic of a triangle that has all sides equal?

    <p>It is an equilateral triangle</p> Signup and view all the answers

    Which of the following quadrilaterals has diagonals that are perpendicular bisectors of each other?

    <p>Rhombus</p> Signup and view all the answers

    What is the relationship between the interior angles of a triangle and a quadrilateral?

    <p>The sum of the interior angles of a triangle is 180°, while the sum of the interior angles of a quadrilateral is 360°</p> Signup and view all the answers

    What is the key characteristic of a triangle that has two sides of equal length and two angles of equal measure?

    <p>It is an isosceles triangle</p> Signup and view all the answers

    What is the primary difference between congruent and similar triangles?

    <p>Congruent triangles have the same size and shape, while similar triangles have the same shape but different sizes.</p> Signup and view all the answers

    Which type of quadrilateral has opposite sides equal and parallel, but diagonals that are not equal?

    <p>Parallelogram</p> Signup and view all the answers

    What is the characteristic of a triangle that has all sides equal?

    <p>Equilateral</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral?

    <p>360°</p> Signup and view all the answers

    Which type of quadrilateral has diagonals that are perpendicular bisectors of each other?

    <p>Square</p> Signup and view all the answers

    What is the characteristic of a triangle that has two sides of equal length and two angles of equal measure?

    <p>Isosceles</p> Signup and view all the answers

    What is the relationship between the interior angles of a triangle and a quadrilateral?

    <p>The sum of the interior angles of a triangle is half the sum of the interior angles of a quadrilateral.</p> Signup and view all the answers

    If a circle is inscribed in a quadrilateral, what can be concluded about the opposite angles of the quadrilateral?

    <p>They sum to 180°</p> Signup and view all the answers

    What is the characteristic of a quadrilateral that has opposite sides equal and parallel, but diagonals that are not equal and do not bisect each other?

    <p>Parallelogram</p> Signup and view all the answers

    Which type of triangle has two angles of equal measure?

    <p>Isosceles</p> Signup and view all the answers

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