Geometry Proving triangles congruent
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29 Terms
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