Geometry quiz: test your knowledge of triangle classifications

📚 Quick Study Guide

• 📐 By Angles:
• 📏 Acute Triangle: All angles are less than 90 degrees.
• 🧮 Right Triangle: One angle is exactly 90 degrees.
• ✨ Obtuse Triangle: One angle is greater than 90 degrees.
• 📐 By Sides:
• 📌 Equilateral Triangle: All three sides are equal. All angles are 60 degrees.
• 📍 Isosceles Triangle: Two sides are equal. Two angles are equal.
• 📐 Scalene Triangle: No sides are equal. No angles are equal.

✍️ Practice Quiz

1. A triangle has angles measuring 30°, 60°, and 90°. What type of triangle is it?

   1. Acute
   2. Right
   3. Obtuse
   4. Equilateral

2. A triangle has sides measuring 5 cm, 5 cm, and 8 cm. What type of triangle is it?

   1. Scalene
   2. Equilateral
   3. Isosceles
   4. Right

3. A triangle has all angles measuring 60°. What type of triangle is it?

   1. Acute and Equilateral
   2. Right and Isosceles
   3. Obtuse and Scalene
   4. Right and Scalene

4. A triangle has one angle measuring 120°. What type of triangle is it?

   1. Acute
   2. Right
   3. Obtuse
   4. Equilateral

5. A triangle has sides measuring 3 cm, 4 cm, and 5 cm. What type of triangle is it? (Hint: Use the Pythagorean theorem: $a^2 + b^2 = c^2$)

   1. Acute
   2. Right
   3. Obtuse
   4. Equilateral

6. A triangle has no equal sides and no equal angles. What type of triangle is it?

   1. Equilateral
   2. Isosceles
   3. Scalene
   4. Right

7. A triangle has two sides of equal length and one angle greater than 90°. What type of triangle is it?

   1. Acute Isosceles
   2. Right Isosceles
   3. Obtuse Isosceles
   4. Equilateral