## flashcard

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Front

acute triangle

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a triangle with three acute angles

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## terms list

acute triangle

a triangle with three acute angles

obtuse triangle

a triangle with one obtuse angle

right triangle

a triangle with one right angle

isosceles triangle

a triangle with at least two sides congruent

scalene triangle

a triangle with no sides congruent

equilateral triangle

a triangle with all three sides congruent

equiangular triangle

a triangle with all three angles congruent

exterior angle

an angle that is adjacent to an interior angle of a triangle formed when the side is extended

remote interior angle

an angle of a triangle that is not adjacent to the referenced exterior angle

Exterior Angle Inequality Theorem

the measure of an exterior angle of a triangle is greater than the measure of either of the remote interior angles

angle bisector

divides the angle into two congruent angles

concurrent lines

three or more lines that intersect at a common point

point of concurrency

the point where three or more lines intersect

incenter

the point of concurrency of the angle bisectors of a triangle

segment bisector

divides a segment into two congruent segments

perpendicular bisector

a segment bisector that forms right angles with the line segment

circumcenter

the point of concurrency of the perpendicular bisectors of a triangle

median

a line segments that connects a vertex to the midpoint of the opposite side of a triangle

centroid

the point of concurrency of the medians of a triangle

altitude

the segment drawn from a vertex perpendicular to the opposite side of a triangle

orthocenter

the point of concurrency of the altitudes of a triangle

Triangle Exterior Angle Theorem

the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle

SSS

state that if you know corresponding sides of two triangles are congruent, then the triangles are congruent

SAS

states that if two sides and the included angle of one triangle are congruent to two sides and the included angle in another triangle, then the triangles are congruent

ASA

states that if two angles and the included side are congruent to the two angles and the included side of another triangle, then the two triangles are congruent

AAS

states that if two angles and a non-included side of one triangle are congruent to two angles and the non-included side of another triangle then the two triangles are congruent

HL

states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent

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