Page 2: Triangle Congruence Crossword #2
This page continues with two more triangle congruence proofs, focusing on the AAS Angle−Angle−Side and ASA Angle−Side−Angle congruence theorems.
The first proof involves triangles ABD and CBD, with the given information:
Definition: An angle bisector is a line that divides an angle into two equal parts.
The proof uses the AAS congruence theorem to establish that ΔABD ≅ ΔCBD.
The second proof deals with triangles CME and KMN, given:
- NR || CE
- M is the midpoint of CR
This proof employs the ASA congruence theorem to show that ΔCME ≅ ΔKMN.
Example: The proof uses the concept of vertical angles, which are always congruent. In this case, ∠CME ≅ ∠KMN because they are vertical angles.
The crosswords with congruent triangle proofs pdf format continues to engage students in actively thinking about each step of the proof process.