6th Period Chapter 4-Congruent Triangles 2

Congruent

Having the same shape and size; when triangles are congruent, they have 3 pairs of congruent angles and 3 pairs of congruent sides.

Congruence transformation

A rigid motion that maps a figure onto itself, such as a translation, reflection, or rotation.

Isosceles Triangle (definition)

A triangle that has 2 congruent sides.

Base of isosceles triangle

The side that is not congruent to another side.

Base angles of an isosceles triangle

The 2 congruent angles that touch the base of the isosceles triangle.

Vertex angle of an isosceles triangle

The angle opposite the base; it is not congruent to the other angles.

Legs of an isosceles triangle

The 2 sides that are congruent to each other.

Isosceles Triangle Theorem

If 2 sides of a triangle are congruent, then the opposite 2 angles of the triangle are congruent.

Isosceles Triangle Theorem Converse

If 2 angles of a triangle are congruent, then the opposite 2 sides of the triangle are congruent.

Perpendicular bisector

If a line or segment bisects the vertex angle of an isosceles triangle, then it is also the perpendicular bisector of the opposite side.

Equilateral Triangle

A triangle where all 3 sides are congruent.

Equiangular Triangle

A triangle where all 3 angles are congruent.

Common side

When 2 triangles share a common side in the middle.

Vertical Angle Theorem

Angles that make an X are vertical angles, and all vertical angles are congruent.

SAS (Side Angle Side)

The angle is between 2 marked congruent sides.

SSS (Side Side Side)

When all 3 sides of one triangle are congruent to all 3 sides of another

CPCTC means

Corresponding Parts of Congruent Triangles are Congruent

ASA (Angle Side Angle)

The side between 2 marked congruent angles

AAS (Angle Angle Side)

The side is not between the 2 marked congruent angles

HL (Hypotenuse Leg)

When you have 2 right triangles and they have congruent side that are the hypotenuse and the corresponding leg

Hypotenuse

The longest side of a right triangle; its always opposite the right angle

Leg of a right triangle

One of the shorter sides of the right triangle; next to the right angle

An equilateral triangle is also ____.

Equalangular

An equilateral triangle has three ___degree angles.

60

The bisector of the vertex angle of an ___ triangle is ___ to the ___ of the triangle at its

Isosceles; perpendicular; base; midpoint