Types Of Triangles Quiz Questions

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  • 1/10 Questions

    A triangle with no congruent sides and 1 angle greater than 90 degrees would be called __________ _________

    • Obtuse scalene
    • Right isosceles
    • Obtuse equilateral
    • Scalene
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About This Quiz


The Types of Triangles Quiz is designed to challenge your understanding of the various types of triangles and their unique properties. Whether you're a student brushing up on geometry basics or a math enthusiast looking to test your skills, this quiz covers all aspects of triangle classification. You'll encounter questions on equilateral, isosceles, and scalene triangles, as well as acute, right, and obtuse triangles.

We'll also delve into key theorems and formulas related to triangle geometry, including the Pythagorean theorem and the calculation of area and perimeter. This quiz offers a comprehensive review of triangle types, helping you to solidify your understanding of one of the fundamental shapes in geometry. Get ready to test your knowledge and gain a deeper appreciation for the elegant simplicity of triangles!

Types Of Triangles Quiz Questions - Quiz

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  • 2. 

    This type of triangle has one 90 degree angle.

    • Acute

    • Right

    • Obtuse

    Correct Answer
    A. Right
    Explanation
    A triangle with one 90 degree angle is called a right triangle. In a right triangle, one of the angles measures exactly 90 degrees, making it the largest angle in the triangle. The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees. Therefore, the correct answer is right.

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  • 3. 

    A ________ triangle is one where all 3 angles measure less than 90 degrees.

    • Acute

    • Right

    • Obtuse

    Correct Answer
    A. Acute
    Explanation
    An acute triangle is a triangle where all three angles measure less than 90 degrees. This means that none of the angles in the triangle are right angles (90 degrees) or obtuse angles (greater than 90 degrees).

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  • 4. 

    An isosceles triangle has

    • No congruent sides

    • 2 congruent sides

    • 3 congruent sides

    Correct Answer
    A. 2 congruent sides
    Explanation
    An isosceles triangle is a triangle with two sides of equal length. The term "isosceles" means "equal legs," referring to the two congruent sides of the triangle. The third side, called the base, may have a different length.

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  • 5. 

    All 3 interior angles of a triangle add up to

    • 90 degrees

    • 180 degrees

    • 360 degrees

    Correct Answer
    A. 180 degrees
    Explanation
    The correct answer is 180 degrees because the sum of the interior angles of any triangle is always equal to 180 degrees. This is a fundamental property of triangles in Euclidean geometry. No matter the size or shape of the triangle, the sum of its three interior angles will always be 180 degrees.

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  • 6. 

    A triangle where all sides are congruent is called

    • Scalene

    • Isosceles

    • Equilateral

    Correct Answer
    A. Equilateral
    Explanation
    An equilateral triangle is a triangle where all sides are congruent. This means that all three sides of the triangle have the same length. In contrast, a scalene triangle has no congruent sides, and an isosceles triangle has two congruent sides. Therefore, the correct answer is equilateral.

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  • 7. 

    What do you call a triangle that has two equal sides?

    • Scalene triangle

    • Isosceles triangle

    • Equilateral triangle

    • Right triangle

    Correct Answer
    A. Isosceles triangle
    Explanation
    An isosceles triangle is characterized by having two sides of equal length, which are called the legs. The angles opposite these equal sides are also equal. This symmetry gives the isosceles triangle its distinctive properties, such as equal altitudes and medians from the equal angles. Isosceles triangles are commonly used in architecture and design because of their symmetrical properties.

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  • 8. 

    In a right triangle, what is the name of the side opposite the right angle?

    • Adjacent side

    • Opposite side

    • Hypotenuse

    • Base

    Correct Answer
    A. Hypotenuse
    Explanation
    In a right triangle, the side opposite the right angle (90 degrees) is known as the hypotenuse. This is the longest side of the triangle because, according to the Pythagorean theorem, the square of the hypotenuse’s length is equal to the sum of the squares of the other two sides. This theorem is a fundamental principle in trigonometry and is used extensively in various fields of science and engineering.

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  • 9. 

    In triangle ABC, AB=13 cm, BC=14 cm, and CA=15 cm. Which of the following is the correct measure of angle C?

    • 60°

    • 75.5°

    • 90°

    • 120°

    Correct Answer
    A. 75.5°
    Explanation
    To find angle C, use the Law of Cosines:
    c^2=a^2+b^2−2ab⋅cos⁡C
    Substituting a=13, b=14 cm, and c=15 cm:
    15^2=13^2+14^2−2×13×14×cos⁡C
    225=169+196−364×cos⁡C
    225=365−364×cos⁡C
    Cos⁡C=140/364=0.3846
    Thus, C≈cos⁡−1(0.3846)≈75.5°C

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  • 10. 

    In a triangle, the lengths of the sides are 7 cm, 24 cm, and 25 cm. Which of the following statements is true?

    • The triangle is acute

    • The triangle is obtuse

    • The triangle is right-angled

    • The triangle does not exist

    Correct Answer
    A. The triangle is right-angled
    Explanation
    To check if the triangle is right-angled, use the Pythagorean theorem:
    7^2+24^2=49+576=625=25^2
    Since the sides satisfy the Pythagorean theorem, the triangle is right-angled.

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  • Current Version
  • Aug 07, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 19, 2008
    Quiz Created by
    Torozco
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