What does SAS mean?
Side-Angle-Side: If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
If three sides of one triangle are congruent to three sides of another triangle, and the triangles are congruent.
SSS
Each triangle has how many interior angles?
3
RS and QD need to be congruent in order to prove these triangles congruent using SSS.
SAS
What does SSS mean?
Side-Side-Side: If three pairs of corresponding sides of two triangles are equal in length, then the triangles are congruent.
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
SAS
What is the sum of all three interior angles in a triangle?
180 degrees
JI and TS need to be congruent in order to prove that the triangles are congruent using SAS.
SSS
What does ASA mean?
Angle-Side-Angle: If two pairs of corresponding angles of two triangles are equal in length and the included sides are equal, then the triangles are congruent.
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
ASA
What kind of angle is notated by a box/square?
A right angle
Missing DE congruent to KJ
ASA
What does AAS mean?
Angle-Angle-Side: If two pairs of corresponding angles of two triangles are equal in measurement, and a pair of corresponding sides are equal in length, then the triangles are congruent.
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
AAS
Even though a triangle may have three congruent angles, this shortcut does not guarantee to show those two triangles will be congruent.
AAA
Missing YZ congruent to MN or XZ congruent to LN
SSS
State the 4 shortcuts that DO work to show two triangles are congruent.
SSS, SAS, ASA, & SAA
This shortcut fails to guarantee congruent triangles because you can create TWO different triangles instead of one.
SSA
Intersecting lines create these kind of angles.
Vertical angles
Missing angle FKL congruent to angle JKL or angle FLK congruent to angle JKL
SAA