Free MDTP Geometry Questions and Answers — Questions and Answers
Question 1: What is the sum of the interior angles of a triangle?
- 90 degrees
- 270 degrees
- 180 degrees (Correct answer)
- 360 degrees
Correct answer: 180 degrees
A fundamental principle in Euclidean geometry states that the sum of the interior angles of any triangle is always 180 degrees. This property holds true for all types of triangles, regardless of their side lengths or angle measures. It is a basic rule used in countless geometric calculations.
Question 2: In a right triangle, the side opposite the right angle is called the:
- Adjacent side
- Hypotenuse (Correct answer)
- Altitude
- Median
Correct answer: Hypotenuse
In a right triangle, the side directly opposite the 90-degree angle is known as the hypotenuse. It is always the longest side of the right triangle. The other two sides, which form the right angle, are called legs.
Question 3: What type of triangle has all three sides of different lengths?
- Equilateral
- Isosceles
- Scalene (Correct answer)
- Right
Correct answer: Scalene
A scalene triangle is defined by having all three of its sides of different lengths. Consequently, all three of its interior angles will also have different measures. This distinguishes it from equilateral (all sides equal) and isosceles (two sides equal) triangles.
Question 4: Which of the following is true about the angles in an equilateral triangle?
- All angles are 60 degrees (Correct answer)
- All angles are 90 degrees
- Two angles are equal, and one is different
- The angles vary depending on the side lengths
Correct answer: All angles are 60 degrees
An equilateral triangle is characterized by having all three sides of equal length. As a direct consequence of this, all three interior angles are also equal. Since the sum of angles in any triangle is 180 degrees, each angle in an equilateral triangle must measure 60 degrees (180 / 3 = 60).
Question 5: Which of the following is a property of similar triangles?
- They have equal side lengths
- They have proportional corresponding side lengths and equal corresponding angles (Correct answer)
- They have equal areas
- They are always congruent
Correct answer: They have proportional corresponding side lengths and equal corresponding angles
Similar triangles are triangles that have the same shape but not necessarily the same size. This means their corresponding angles are equal, and the lengths of their corresponding sides are in proportion. This proportionality is key to understanding their relationship.
Free MDTP Geometry Questions and Answers
What is the sum of the interior angles of a triangle?