Triangle Properties (Lesson 3,w/ Choices) Flashcards
What is the definition of a triangle?
A triangle is a polygon with three edges and three vertices.
True or False: A triangle can have more than three sides.
False
What are the three types of triangles based on side lengths?
Equilateral, Isosceles, and Scalene.
Fill in the blank: An equilateral triangle has _____ sides of equal length.
three
What type of triangle has two sides of equal length?
Isosceles triangle.
Which triangle has all angles less than 90 degrees?
Acute triangle.
True or False: A right triangle has one angle that is exactly 90 degrees.
True
What is the sum of the interior angles of a triangle?
180 degrees.
What type of triangle has one angle greater than 90 degrees?
Obtuse triangle.
Multiple Choice: Which of the following is NOT a type of triangle based on angles? A) Acute B) Obtuse C) Right D) Parallel
D) Parallel
What is the term for a triangle with all sides of different lengths?
Scalene triangle.
Fill in the blank: The longest side of a right triangle is called the _____ side.
hypotenuse
What is the Pythagorean theorem?
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
True or False: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
True
What is the relationship between the sides and angles of a triangle?
The largest angle is opposite the longest side.
Multiple Choice: In an isosceles triangle, which of the following is true? A) All sides are equal B) Two sides are equal C) No sides are equal D) All angles are obtuse
B) Two sides are equal
What is a triangle’s centroid?
The point where the three medians intersect.
Fill in the blank: The _____ of a triangle is the longest segment that can be drawn from a vertex to the opposite side.
altitude
What is a triangle’s area formula?
Area = 1/2 * base * height.
True or False: All equilateral triangles are also isosceles.
True
What is the formula for the perimeter of a triangle?
Perimeter = side1 + side2 + side3.
Multiple Choice: Which of the following triangles has sides measuring 3, 4, and 5? A) Acute B) Right C) Obtuse D) Isosceles
B) Right
What is a triangle’s circumcenter?
The point where the perpendicular bisectors of the sides intersect.
Fill in the blank: A triangle with angles measuring 60 degrees each is called an _____ triangle.
equilateral
What is the relationship between the angles of a triangle?
The sum of the angles is always 180 degrees.
True or False: A triangle can have two right angles.
False
What is an altitude in a triangle?
A perpendicular segment from a vertex to the line containing the opposite side.
