Types Of Triangles Quiz Questions
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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 Read moresolidify 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 Questions and Answers
- 1.
This type of triangle has one 90 degree angle.
- A.
Acute
- B.
Right
- C.
Obtuse
Correct Answer
B. RightExplanation
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.Rate this question:
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- 2.
A ________ triangle is one where all 3 angles measure less than 90 degrees.
- A.
Acute
- B.
Right
- C.
Obtuse
Correct Answer
A. AcuteExplanation
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).Rate this question:
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- 3.
A triangle where all sides are congruent is called
- A.
Scalene
- B.
Isosceles
- C.
Equilateral
Correct Answer
C. EquilateralExplanation
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.Rate this question:
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- 4.
An isosceles triangle has
- A.
No congruent sides
- B.
2 congruent sides
- C.
3 congruent sides
Correct Answer
B. 2 congruent sidesExplanation
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.Rate this question:
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- 5.
All 3 interior angles of a triangle add up to
- A.
90 degrees
- B.
180 degrees
- C.
360 degrees
Correct Answer
B. 180 degreesExplanation
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.Rate this question:
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- 6.
A triangle with no congruent sides and 1 angle greater than 90 degrees would be called __________ _________
- A.
Obtuse scalene
- B.
Right isosceles
- C.
Obtuse equilateral
- D.
Scalene
Correct Answer
A. Obtuse scaleneExplanation
A triangle with no congruent sides is called a scalene triangle. Additionally, a triangle with one angle greater than 90 degrees is known as an obtuse triangle. Therefore, a triangle that has no congruent sides and one angle greater than 90 degrees is classified as an obtuse scalene triangle. This type of triangle has all sides of different lengths (scalene) and one angle that is greater than 90 degrees (obtuse).Rate this question:
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- 7.
In a triangle, the lengths of the sides are 7 cm, 24 cm, and 25 cm. Which of the following statements is true?
- A.
The triangle is acute
- B.
The triangle is obtuse
- C.
The triangle is right-angled
- D.
The triangle does not exist
Correct Answer
C. The triangle is right-angledExplanation
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.Rate this question:
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- 8.
In triangle ABC, AB=13 cm, BC=14 cm, and CA=15 cm. Which of the following is the correct measure of angle C?
- A.
60°
- B.
75.5°
- C.
90°
- D.
120°
Correct Answer
B. 75.5°Explanation
To find angle C, use the Law of Cosines:
c^2=a^2+b^2−2ab⋅cosC
Substituting a=13, b=14 cm, and c=15 cm:
15^2=13^2+14^2−2×13×14×cosC
225=169+196−364×cosC
225=365−364×cosC
CosC=140/364=0.3846
Thus, C≈cos−1(0.3846)≈75.5°CRate this question:
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- 9.
In a right triangle, what is the name of the side opposite the right angle?
- A.
Adjacent side
- B.
Opposite side
- C.
Hypotenuse
- D.
Base
Correct Answer
C. HypotenuseExplanation
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.Rate this question:
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- 10.
What do you call a triangle that has two equal sides?
- A.
Scalene triangle
- B.
Isosceles triangle
- C.
Equilateral triangle
- D.
Right triangle
Correct Answer
B. Isosceles triangleExplanation
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.Rate this question:
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Current Version
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Aug 07, 2024Quiz Edited by
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Jan 19, 2008Quiz Created by
Torozco
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