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The five ways to prove triangles congruent
Side angle side, side side side, angle side angle, angle angle side and hypotenuse leg theorem

What are these triangles congruent by
Angle angle side

What are these triangles congruent by
Hypotenuse leg theorem

What are these triangles congruent by
Side angle side

What are these triangles congruent by
Side side side

What are these triangles congruent by
Angle side angle

what is the red line on all these called
An altitude

What would the blue line on this triangle be called
The median

What would point O be called on this graph
The orthocenter

What would point G in this image be
The centroid
what is the formula for the centroid of a triangle
((x₁+x₂+x₃)/3,(y₁+y₂+y₃)/3)
Definition of midpoint
The middle point of a line segment.
definition of perpendicular
A straight line at an angle of 90°
Definition of parallel
Extending in the same direction, equidistant at all points, and never converging or diverging
Definition of angle bisector
A line that splits an angle into two equal angles
What is a scalene triangle
It is a triangle with no equal sides
What is an isosceles triangle
A triangle that has two equal sides
What is an equilateral triangle
A triangle in which all sides are equal
What shortcuts can you not take when proving triangles congruent
Angle side side and Angle angle angle
What does CPCTC stand for
Corresponding Parts of Congruent Triangles are Congruent

What are these angles called
Corresponding angles

What theorem could you use to find what is equal to each other in this picture
Vertical Angles theorem

how do you know that DB is equal to BD
Reflexive property

What are these angles
Alternate interior angles

What are these angles
Alternate exterior angles

What are these angles
Same side interior angles

What are these angles
Same side exterior angles

What theorem is this
Isosceles triangle theorem

What theorem is this
Perpendicular bisector theorem