Untitled Quiz

Triangle Types

• Acute Triangle: All angles measure less than 90 degrees.
• Obtuse Triangle: Contains one angle greater than 90 degrees.
• Right Triangle: Has one angle exactly equal to 90 degrees.
• Equiangular Triangle: An acute triangle where all angles are congruent.
• Scalene Triangle: No sides are congruent; all sides have different lengths.
• Isosceles Triangle: At least two sides are congruent, often resulting in two equal angles.
• Equilateral Triangle: All sides are congruent and all angles measure 60 degrees.

Angle Relationships

• Exterior Angle: Formed by one side of a triangle and the extension of an adjacent side.
• Remote Interior Angle: Interior angles of a triangle that are not adjacent to a specific exterior angle.

Triangle Congruence

• Congruent Triangles: Triangles that have the same size and shape, which means corresponding parts are equal.
• CPCTC: Stands for "Corresponding Parts of Congruent Triangles are Congruent."

Triangle Properties

• Included Angle: The angle formed between two sides of a triangle.
• Included Side: The side that is between two given angles.

Triangle Congruence Criteria

• SSS (Side Side Side): Triangles are congruent if all three sides are equal.
• SAS (Side Angle Side): Triangles are congruent if two sides and the included angle are equal.
• ASA (Angle Side Angle): Triangles are congruent if two angles and the included side are equal.
• AAS (Angle Angle Side): Triangles are congruent if two angles and a non-included side are equal.

Line Relationships

• Skew Lines: Lines that do not intersect and are not in the same plane.
• Transversal: A line that crosses two or more lines at different points.

Special Points in Triangles

• Perpendicular Bisector: A line or segment that divides another segment at its midpoint at a right angle.
• Concurrent Lines: Three or more lines that meet at a single point.
• Point of Concurrency: The specific point where concurrent lines intersect.
• Circumcenter: The point where the perpendicular bisectors of a triangle converge; equidistant from all triangle vertices.
• Incenter: The point where the angle bisectors of a triangle converge; equidistant from all triangle sides.
• Median: A line segment connecting a vertex of a triangle to the midpoint of the opposite side.