Triangle Congruence Shortcuts

This video tutorial covers triangle congruency shortcuts, including SSS, SAS, ASA, SAA, and HL. Each shortcut provides a method to prove triangles congruent with fewer congruences. The tutorial explains each shortcut in detail, highlighting the necessary conditions and providing examples. The video concludes with a summary and practice problems to reinforce learning.

What is the total number of congruent parts in two congruent triangles?

• Four pairs of parts

• Five pairs of parts

• Six pairs of parts

• Seven pairs of parts

How many legal shortcuts are there for proving triangle congruency?

• Six

• Five

• Three

• Four

What does the Side-Side-Side (SSS) shortcut require?

• Three pairs of angles

• Two pairs of angles and one pair of sides

• Three pairs of sides

• Two pairs of sides and one pair of angles

What is the abbreviation for the Side-Side-Side shortcut?

• SSS

• SAS

• ASA

• HL

Which shortcut involves three pairs of sides?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

In the Side-Angle-Side (SAS) shortcut, where must the angle be located?

• At the beginning of the two sides

• Outside the two sides

• Between the two sides

• At the end of the two sides

What is the included angle in the SAS shortcut?

• An angle that is at the base of the triangle

• An angle that is between two marked sides

• An angle that is outside the triangle

• An angle that is opposite the hypotenuse

What is the abbreviation for the Side-Angle-Side shortcut?

• SAS

• ASA

• SSS

• HL

Which shortcut requires the angle to be between two sides?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Hypotenuse-Leg (HL)

What does the Angle-Side-Angle (ASA) shortcut require?

• Three pairs of angles

• Two pairs of sides and one pair of angles

• Three pairs of sides

• Two pairs of angles and one pair of sides