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° (C)</p> Signup and view all the answers

What is the definition of a cyclic quadrilateral?

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

What is the characteristic of a rhombus?

<p>All sides are equal (B)</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 (B)</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 (C)</p> Signup and view all the answers

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

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

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

<p>SSS, SAS, ASA, and AA (A)</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 (C)</p> Signup and view all the answers

What is the characteristic of a kite-shaped quadrilateral?

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

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

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

What is the characteristic of an isosceles triangle?

<p>Two sides are equal (D)</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 (D)</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. (A)</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 (B)</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°. (A)</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. (B)</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. (B)</p> Signup and view all the answers

What is the key characteristic of an isosceles triangle?

<p>Two sides are equal. (A)</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°. (D)</p> Signup and view all the answers

What is the characteristic of a kite-shaped quadrilateral?

<p>One pair of opposite sides are parallel. (C)</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 (B)</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 (B)</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 (C)</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° (A)</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 (A)</p> Signup and view all the answers

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

<p>Rhombus (C)</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° (C)</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 (C)</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. (A)</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 (D)</p> Signup and view all the answers

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

<p>Equilateral (D)</p> Signup and view all the answers

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

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

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

<p>Square (A)</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 (C)</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. (B)</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° (B)</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 (C)</p> Signup and view all the answers

Which type of triangle has two angles of equal measure?

<p>Isosceles (A)</p> Signup and view all the answers

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