Reasons
A midpoint creates two congruent segments (sides)
Definition of Midpoint
Two angles and a non-included side are congruent
AAS
Straight lines form how many degrees?
180 degrees
Rule for translating 2 units up and 3 units to the right
(x, y) --> (x+3, y+2)
A side is being shared, so the side is congruent to itself.
Reflexive Property
SAS
The angle sum of a triangle will always equal to...
180 degrees
Rule for reflecting over the x-axis.
(x, y)--> (x, -y)
The opposite angles formed by 2 intersecting lines are congruent.
Vertical Angles
All three sides are congruent
SSS
A triangle that has at least two sides and angles of equal length.
Isosceles Triangle
Reflecting over the y-axis.
(x, y)--> (-x, y)
Angle Bisector
The hypotenuse and one of the legs are congruent
HL
A triangle in which all three sides have the same length.
Equilateral Triangle
Rule for rotation 90 degrees clockwise.
(x, y)-->(y, -x)
A right triangle has a right angle.
Right Triangles
Two angles and the included side are congruent
ASA
What is the measurement of a triangle's angle if the two other angles add up to 98 degrees?
82 degrees
Rule for rotation 180 degrees counterclockwise.
(x, y)--> (-x, -y)