Triangle Congruence
This congruence method uses three pairs of equal sides.
SSS
The reason used when a segment is congruent to itself.
Reflexive Property
A transformation that flips a figure over a line.
Reflection
If a point is on the x‑axis, what is its y‑coordinate?
0
What do we call a triangle that has two sides of equal length?
Isosceles Triangle
Which congruence postulate uses two sides and the included angle?
SAS
The final reasoning used when two sides and the included angle are known.
SAS
A transformation that turns a figure around a point.
rotation
A point has coordinates (−3,5). After a 180° rotation about the origin, what are the new coordinates?
(3, -5 )
What is the name of an angle formed by extending one side of a triangle?
Exterior Angle
This congruence method works only for right triangles.
HL
If a segment bisects an angle, the two angles formed are _____
congruent
A transformation that changes the size of a figure.
A point is reflected over the y‑axis and then over the x‑axis. Describe the change to its coordinates.
they both change signs
Two angles whose measures add up to 180°.
Supplementary Angles
This condition does not guarantee triangle congruence.
SSA
Two angles that are formed by intersecting lines and are always equal in measure.
Vertical Angles
Transformations that keep size and shape the same.
A triangle entirely left of the y‑axis is in which quadrants?
Quadrant II & III
Angles that share a side, a vertex, and dont overlap.
Adjacent Angles
This method uses two angles and a non‑included side.
AAS
After triangles are proven congruent, this theorem allows you to prove matching sides and angles are congruent.
CPCTC
Which transformation would move a figure without turning or flipping it?
Translation
A triangle has vertices A(−2,1) B(−5,1), and C(−3,4)
The triangle is reflected across the y‑axis and then translated up 2 units.
What are the coordinates of C′, the final image of point C?
(3,6)
A ray or segment that divides an angle into two congruent angles.
Angle Bisector