Classifying triangles and quadrilaterals Knowledge-Based Download PDF

Questions

1. 1.

   Which of the following describes a triangle that cannot exist?

   • A) A right isosceles triangle
   • B) An obtuse equilateral triangle
   • C) An acute scalene triangle
   • D) An obtuse scalene triangle
2. 2.

   Which of the following statements is always true regarding the classification of quadrilaterals?

   • A) Every rhombus is a rectangle.
   • B) Every parallelogram is a square.
   • C) Every rectangle is a parallelogram.
   • D) Every trapezoid is a parallelogram.
3. 3.

   A quadrilateral has exactly one pair of parallel sides, and its non-parallel sides are equal in length. Which geometric term best classifies this shape?

   • A) Isosceles trapezoid
   • B) Parallelogram
   • C) Rhombus
   • D) Kite
4. 4.

   A triangle has side lengths of 7 cm, 7 cm, and 10 cm, and an interior angle that measures 110°. Which pair of terms correctly classifies this triangle by its sides and its angles?

   • A) Equilateral and acute
   • B) Scalene and obtuse
   • C) Isosceles and acute
   • D) Isosceles and obtuse
5. 5.

   A quadrilateral has two pairs of parallel sides, all four sides of equal length, and no right angles. Which geometric term best classifies this shape?

   • A) Rhombus
   • B) Square
   • C) Rectangle
   • D) Trapezoid