Triangles Flashcards
What are the three sides of a triangle called?
The sides of a triangle are called the base, height, and hypotenuse.
How many vertices does a triangle have?
A triangle has three vertices.
What is the sum of the interior angles of a triangle?
The sum of the interior angles of a triangle is 180 degrees.
True or False: An equilateral triangle has all sides of equal length.
True.
What type of triangle has at least two sides of equal length?
An isosceles triangle.
Fill in the blank: A triangle with all sides of different lengths is called a _______ triangle.
scalene.
What is a median in a triangle?
A median is a line segment that connects a vertex to the midpoint of the opposite side.
What is an altitude in a triangle?
An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
Which type of triangle has angles that are all less than 90 degrees?
An acute triangle.
True or False: A right triangle has one angle that is exactly 90 degrees.
True.
What is the name of a triangle that has one angle greater than 90 degrees?
An obtuse triangle.
How many types of triangles are there based on their sides?
Three types: equilateral, isosceles, and scalene.
What is the characteristic of an equilateral triangle’s angles?
All angles are equal, each measuring 60 degrees.
Fill in the blank: In an isosceles triangle, the angles opposite the equal sides are _______.
equal.
What do you call the longest side of a right triangle?
The hypotenuse.
True or False: All equilateral triangles are also isosceles triangles.
True.
What is the relationship between the medians of a triangle?
The three medians of a triangle intersect at a point called the centroid.
What is the formula to find the area of a triangle?
Area = 1/2 * base * height.
What is a key property of the angles in a scalene triangle?
All angles are different.
Fill in the blank: The point where all three altitudes of a triangle intersect is called the _______.
orthocenter.
What is the difference between a median and an altitude?
A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.
How can you classify triangles based on angles?
Triangles can be classified as acute, right, or obtuse based on their angles.
What is the centroid of a triangle?
The centroid is the point where the three medians of a triangle intersect.
True or False: In a right triangle, the two shorter sides are called the legs.
True.
Fill in the blank: The longest side of a triangle is always opposite the _______ angle.
largest.
What is the term for the angle formed by two sides of a triangle?
Vertex angle.
