Triangles and Triangle Congruence Flashcards
A geometric shape with three sides and three angles.
Triangle
What is the sum of the interior angles of a triangle?
180°
These are the three main parts of a triangle.
Vertex, side, angle
What are the two ways to classify triangles?
By sides and by angles
These are the three types of triangles based on their sides.
Scalene Triangle, Isosceles Triangle, Equilateral Triangle
These are the three types of triangles based on their angles.
Acute Triangle, Obtuse Triangle, Right Triangle
A triangle with no sides equal.
Scalene Triangle
A triangle with two sides of equal length.
Isosceles Triangle
A triangle with all sides equal.
Equilateral Triangle
A triangle where all angles are less than 90°.
Acute Triangle
A triangle with one angle greater than 90°.
Obtuse Triangle
A triangle with one right angle (90°).
Right Triangle
What are the six main elements of a triangle?
Sides, angles, medians, altitude, perpendicular bisector, circumcenter/circumcircle
The line segments that connect the vertices (corners) of a triangle.
Sides
What is formed where two sides of a triangle meet?
Angles
The sum of all angles in a triangle is always equal to ___.
180°
These are line segments that connect each vertex to the midpoint of the opposite side.
Medians
What is the point where all medians of a triangle meet?
Centroid
These are perpendicular line segments drawn from each vertex to the opposite side or its extension.
Altitude
What is the point where all altitudes of a triangle intersect?
Orthocenter
These are line segments that divide each side of a triangle into two equal parts and are perpendicular to those sides.
Perpendicular Bisectors
What is the point where all perpendicular bisectors of a triangle meet?
Circumcenter
The circle that passes through all three vertices of a triangle.
Circumcircle
