Euclid`s Elements: Introduction to “Proofs”
... [Place center of compass at E and draw circle of radius BA. Then place it at F and draw a circle of radius CA. They intersect at D so that DEF is congruent to ABC.] Exercise: Angle - side - angle congruence (ASA) The next congruence result is called ASA, “angle-side-angle”. It can be proved in the s ...
... [Place center of compass at E and draw circle of radius BA. Then place it at F and draw a circle of radius CA. They intersect at D so that DEF is congruent to ABC.] Exercise: Angle - side - angle congruence (ASA) The next congruence result is called ASA, “angle-side-angle”. It can be proved in the s ...
7-2 - MrsFaulkSaysMathMatters
... 1. By the Isosc. ∆ Thm., A C, so by the def. of , mC = mA. Thus mC = 70° by subst. By the ∆ Sum Thm., mB = 40°. Apply the Isosc. ∆ Thm. and the ∆ Sum Thm. to ∆PQR. mR = mP = 70°. So by the def. of , A P, and C R. Therefore ∆ABC ~ ∆PQR by AA ~. ...
... 1. By the Isosc. ∆ Thm., A C, so by the def. of , mC = mA. Thus mC = 70° by subst. By the ∆ Sum Thm., mB = 40°. Apply the Isosc. ∆ Thm. and the ∆ Sum Thm. to ∆PQR. mR = mP = 70°. So by the def. of , A P, and C R. Therefore ∆ABC ~ ∆PQR by AA ~. ...
