http://www.ck12.org Chapter 4. Triangles and Congruence
TABLE4.11:
Statement Reason1.^6 C∼=^6 E,AC∼=AE Given
2.^6 A∼=^6 A Reflexive PoC
3. 4 ACF∼= 4 AEB ASA
Example C
What information do you need to prove that these two triangles are congruent using:
a) ASA?
b) AAS?
a) For ASA, we need the angles on the other side ofEFandQR. Therefore, we would need^6 F∼=^6 Q.
b) For AAS, we would need the angle on the other side of^6 Eand^6 R.^6 G∼=^6 P.
Watch this video for help with the Examples above.
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52615CK-12 Foundation: Chapter4ASAandAASTriangleCongruenceB
Concept Problem Revisited
Even though we do not know all of the angle measures in the two triangles, we can find the missing angles by using
the Third Angle Theorem. In your parents’ kitchen, the missing angle is 39◦. The missing angle in your neighbor’s