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Lesson 1: Classify Triangles — Practice Questions

  1. 1. A triangle has angles measuring $42^\circ$, $67^\circ$, and $71^\circ$. What type of triangle is it?

    • A. Acute
    • B. Obtuse
    • C. Right
    • D. Cannot be determined
  2. 2. A triangle has two angles measuring $48^\circ$ and $52^\circ$. The third angle measures ___°.

  3. 3. A triangle has two angles measuring $20^\circ$ and $45^\circ$. What type of triangle is it?

    • A. Acute
    • B. Obtuse
    • C. Right
    • D. Cannot be determined
  4. 4. A triangle has two angles measuring $55^\circ$ and $35^\circ$. Which statement correctly classifies this triangle?

    • A. It is acute because $55^\circ$ and $35^\circ$ are both less than $90^\circ$
    • B. It is right because the third angle is exactly $90^\circ$
    • C. It is obtuse because the third angle is greater than $90^\circ$
    • D. It cannot be classified without a diagram
  5. 5. A triangle has angles measuring $38^\circ$, $57^\circ$, and $85^\circ$. This triangle is classified as a(n) ___ triangle.

  6. 6. A garden plot is a triangle with side lengths of 8 feet, 10 feet, and 13 feet. What is the classification of this triangle?

    • A. Equilateral
    • B. Isosceles
    • C. Scalene
    • D. Cannot be determined
  7. 7. A sign is shaped like a triangle with all three sides measuring 15 inches. What type of triangle is the sign?

    • A. Scalene
    • B. Isosceles
    • C. Equilateral
    • D. Acute
  8. 8. An isosceles triangle has two sides of length 11 cm. For the triangle to also be equilateral, the third side must have a length of ___ cm.

  9. 9. A triangle has side lengths of 6 meters, 10 meters, and 6 meters. How would this triangle be classified based on its sides?

    • A. Scalene
    • B. Isosceles
    • C. Equilateral
    • D. Cannot be determined
  10. 10. Which of the following statements is always true about classifying triangles by their side lengths?

    • A. An isosceles triangle must also be equilateral.
    • B. An equilateral triangle is also a type of isosceles triangle.
    • C. A scalene triangle has at least two equal sides.
    • D. An equilateral triangle has three different side lengths.