Triangles and Their Properties

Description: This quiz is designed to assess your understanding of triangles and their properties. It covers various aspects of triangles, including their classification, angle relationships, side relationships, and special properties.
Number of Questions: 15
Created by:
Tags: geometry triangles angle relationships side relationships special properties
Attempted 0/15 Correct 0 Score 0

In a right triangle, the side opposite the right angle is called the:

  1. Hypotenuse

  2. Adjacent side

  3. Opposite side


Correct Option: C
Explanation:

In a right triangle, the side opposite the right angle is called the opposite side.

The sum of the interior angles of a triangle is always:

  1. 180 degrees

  2. 270 degrees

  3. 360 degrees


Correct Option: A
Explanation:

The sum of the interior angles of a triangle is always 180 degrees.

In a triangle, the side opposite the smallest angle is the:

  1. Longest side

  2. Shortest side

  3. Middle side


Correct Option: B
Explanation:

In a triangle, the side opposite the smallest angle is the shortest side.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the:

  1. Adjacent sides

  2. Opposite sides

  3. All sides


Correct Option: A
Explanation:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the adjacent sides.

In a triangle, the angle opposite the longest side is called the:

  1. Acute angle

  2. Right angle

  3. Obtuse angle


Correct Option: C
Explanation:

In a triangle, the angle opposite the longest side is called the obtuse angle.

The area of a triangle is given by the formula:

  1. $A = rac{1}{2}bh$

  2. $A = bh$

  3. $A = rac{1}{2}b^2h$


Correct Option: A
Explanation:

The area of a triangle is given by the formula $A = rac{1}{2}bh$, where $b$ is the length of the base and $h$ is the height (altitude) of the triangle.

In a triangle, the side opposite the largest angle is called the:

  1. Longest side

  2. Shortest side

  3. Middle side


Correct Option: A
Explanation:

In a triangle, the side opposite the largest angle is called the longest side.

The exterior angle of a triangle is equal to the sum of the:

  1. Opposite interior angles

  2. Adjacent interior angles

  3. Remote interior angles


Correct Option: C
Explanation:

The exterior angle of a triangle is equal to the sum of the remote interior angles.

In a right triangle, the ratio of the opposite side to the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent


Correct Option: A
Explanation:

In a right triangle, the ratio of the opposite side to the hypotenuse is called the sine.

The sum of the exterior angles of a triangle is always:

  1. 180 degrees

  2. 270 degrees

  3. 360 degrees


Correct Option: C
Explanation:

The sum of the exterior angles of a triangle is always 360 degrees.

In a triangle, the ratio of the adjacent side to the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent


Correct Option: B
Explanation:

In a right triangle, the ratio of the adjacent side to the hypotenuse is called the cosine.

The ratio of the opposite side to the adjacent side in a right triangle is called the:

  1. Sine

  2. Cosine

  3. Tangent


Correct Option: C
Explanation:

In a right triangle, the ratio of the opposite side to the adjacent side is called the tangent.

In a triangle, the side opposite the smallest angle is called the:

  1. Longest side

  2. Shortest side

  3. Middle side


Correct Option: B
Explanation:

In a triangle, the side opposite the smallest angle is called the shortest side.

In a triangle, the angle opposite the longest side is called the:

  1. Acute angle

  2. Right angle

  3. Obtuse angle


Correct Option: C
Explanation:

In a triangle, the angle opposite the longest side is called the obtuse angle.

The area of a triangle is given by the formula:

  1. $A = rac{1}{2}bh$

  2. $A = bh$

  3. $A = rac{1}{2}b^2h$


Correct Option: A
Explanation:

The area of a triangle is given by the formula $A = rac{1}{2}bh$, where $b$ is the length of the base and $h$ is the height (altitude) of the triangle.

- Hide questions